div class=ts-pagebutton class=gotoPage data-page=1Page 1button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=1 data-page=1 class=ts-thumb lazyload alt=Page 1: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails1jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=2Page 2button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=2 data-page=2 class=ts-thumb lazyload alt=Page 2: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails2jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=3Page 3button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=3 data-page=3 class=ts-thumb lazyload alt=Page 3: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails3jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=4Page 4button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=4 data-page=4 class=ts-thumb lazyload alt=Page 4: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails4jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=5Page 5button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=5 data-page=5 class=ts-thumb lazyload alt=Page 5: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails5jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=6Page 6button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=6 data-page=6 class=ts-thumb lazyload alt=Page 6: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails6jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=7Page 7button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=7 data-page=7 class=ts-thumb lazyload alt=Page 7: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails7jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=8Page 8button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=8 data-page=8 class=ts-thumb lazyload alt=Page 8: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails8jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=9Page 9button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=9 data-page=9 class=ts-thumb lazyload alt=Page 9: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails9jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=10Page 10button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=10 data-page=10 class=ts-thumb lazyload alt=Page 10: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails10jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=11Page 11button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=11 data-page=11 class=ts-thumb lazyload alt=Page 11: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails11jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=12Page 12button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=12 data-page=12 class=ts-thumb lazyload alt=Page 12: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails12jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=13Page 13button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=13 data-page=13 class=ts-thumb lazyload alt=Page 13: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails13jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=14Page 14button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=14 data-page=14 class=ts-thumb lazyload alt=Page 14: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails14jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=15Page 15button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=15 data-page=15 class=ts-thumb lazyload alt=Page 15: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails15jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=16Page 16button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=16 data-page=16 class=ts-thumb lazyload alt=Page 16: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails16jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=17Page 17button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=17 data-page=17 class=ts-thumb lazyload alt=Page 17: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails17jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=18Page 18button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=18 data-page=18 class=ts-thumb lazyload alt=Page 18: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails18jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=19Page 19button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=19 data-page=19 class=ts-thumb lazyload alt=Page 19: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails19jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=20Page 20button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=20 data-page=20 class=ts-thumb lazyload alt=Page 20: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails20jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=21Page 21button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=21 data-page=21 class=ts-thumb lazyload alt=Page 21: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails21jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=22Page 22button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=22 data-page=22 class=ts-thumb lazyload alt=Page 22: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails22jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=23Page 23button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=23 data-page=23 class=ts-thumb lazyload alt=Page 23: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails23jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=24Page 24button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=24 data-page=24 class=ts-thumb lazyload alt=Page 24: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails24jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=25Page 25button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=25 data-page=25 class=ts-thumb lazyload alt=Page 25: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails25jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=26Page 26button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=26 data-page=26 class=ts-thumb lazyload alt=Page 26: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails26jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=27Page 27button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=27 data-page=27 class=ts-thumb lazyload alt=Page 27: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails27jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=28Page 28button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=28 data-page=28 class=ts-thumb lazyload alt=Page 28: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails28jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=29Page 29button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=29 data-page=29 class=ts-thumb lazyload alt=Page 29: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails29jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=30Page 30button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=30 data-page=30 class=ts-thumb lazyload alt=Page 30: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails30jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=31Page 31button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=31 data-page=31 class=ts-thumb lazyload alt=Page 31: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails31jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=32Page 32button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=32 data-page=32 class=ts-thumb lazyload alt=Page 32: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails32jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=33Page 33button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=33 data-page=33 class=ts-thumb lazyload alt=Page 33: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails33jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=34Page 34button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=34 data-page=34 class=ts-thumb lazyload alt=Page 34: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails34jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=35Page 35button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=35 data-page=35 class=ts-thumb lazyload alt=Page 35: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails35jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=36Page 36button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=36 data-page=36 class=ts-thumb lazyload alt=Page 36: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails36jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=37Page 37button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=37 data-page=37 class=ts-thumb lazyload alt=Page 37: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails37jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=38Page 38button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=38 data-page=38 class=ts-thumb lazyload alt=Page 38: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails38jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=39Page 39button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=39 data-page=39 class=ts-thumb lazyload alt=Page 39: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails39jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=40Page 40button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=40 data-page=40 class=ts-thumb lazyload alt=Page 40: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails40jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=41Page 41button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=41 data-page=41 class=ts-thumb lazyload alt=Page 41: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails41jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=42Page 42button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=42 data-page=42 class=ts-thumb lazyload alt=Page 42: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails42jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=43Page 43button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=43 data-page=43 class=ts-thumb lazyload alt=Page 43: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails43jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=44Page 44button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=44 data-page=44 class=ts-thumb lazyload alt=Page 44: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails44jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=45Page 45button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=45 data-page=45 class=ts-thumb lazyload alt=Page 45: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails45jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=46Page 46button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=46 data-page=46 class=ts-thumb lazyload alt=Page 46: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails46jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=47Page 47button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=47 data-page=47 class=ts-thumb lazyload alt=Page 47: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails47jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=48Page 48button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=48 data-page=48 class=ts-thumb lazyload alt=Page 48: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails48jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=49Page 49button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=49 data-page=49 class=ts-thumb lazyload alt=Page 49: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails49jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=50Page 50button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=50 data-page=50 class=ts-thumb lazyload alt=Page 50: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails50jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=51Page 51button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=51 data-page=51 class=ts-thumb lazyload alt=Page 51: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails51jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=52Page 52button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=52 data-page=52 class=ts-thumb lazyload alt=Page 52: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails52jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=53Page 53button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=53 data-page=53 class=ts-thumb lazyload alt=Page 53: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails53jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=54Page 54button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=54 data-page=54 class=ts-thumb lazyload alt=Page 54: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails54jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=55Page 55button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=55 data-page=55 class=ts-thumb lazyload alt=Page 55: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails55jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=56Page 56button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=56 data-page=56 class=ts-thumb lazyload alt=Page 56: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails56jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=57Page 57button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=57 data-page=57 class=ts-thumb lazyload alt=Page 57: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails57jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=58Page 58button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=58 data-page=58 class=ts-thumb lazyload alt=Page 58: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails58jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=59Page 59button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=59 data-page=59 class=ts-thumb lazyload alt=Page 59: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails59jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=60Page 60button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=60 data-page=60 class=ts-thumb lazyload alt=Page 60: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails60jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=61Page 61button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=61 data-page=61 class=ts-thumb lazyload alt=Page 61: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails61jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=62Page 62button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=62 data-page=62 class=ts-thumb lazyload alt=Page 62: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails62jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=63Page 63button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=63 data-page=63 class=ts-thumb lazyload alt=Page 63: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails63jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=64Page 64button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=64 data-page=64 class=ts-thumb lazyload alt=Page 64: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails64jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=65Page 65button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=65 data-page=65 class=ts-thumb lazyload alt=Page 65: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails65jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=66Page 66button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=66 data-page=66 class=ts-thumb lazyload alt=Page 66: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails66jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=67Page 67button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=67 data-page=67 class=ts-thumb lazyload alt=Page 67: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails67jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=68Page 68button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=68 data-page=68 class=ts-thumb lazyload alt=Page 68: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails68jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=69Page 69button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=69 data-page=69 class=ts-thumb lazyload alt=Page 69: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails69jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=70Page 70button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=70 data-page=70 class=ts-thumb lazyload alt=Page 70: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails70jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=71Page 71button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=71 data-page=71 class=ts-thumb lazyload alt=Page 71: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails71jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=72Page 72button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=72 data-page=72 class=ts-thumb lazyload alt=Page 72: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails72jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=73Page 73button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=73 data-page=73 class=ts-thumb lazyload alt=Page 73: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails73jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=74Page 74button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=74 data-page=74 class=ts-thumb lazyload alt=Page 74: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails74jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=75Page 75button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=75 data-page=75 class=ts-thumb lazyload alt=Page 75: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails75jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=76Page 76button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=76 data-page=76 class=ts-thumb lazyload alt=Page 76: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails76jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=77Page 77button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=77 data-page=77 class=ts-thumb lazyload alt=Page 77: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails77jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=78Page 78button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=78 data-page=78 class=ts-thumb lazyload alt=Page 78: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails78jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=79Page 79button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=79 data-page=79 class=ts-thumb lazyload alt=Page 79: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails79jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=80Page 80button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=80 data-page=80 class=ts-thumb lazyload alt=Page 80: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails80jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=81Page 81button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=81 data-page=81 class=ts-thumb lazyload alt=Page 81: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails81jpg width=140 height=200 divdivdiv class=ts-pagebutton class=gotoPage data-page=82Page 82button div class=ts-imageimg data-url=masbbpapers48-mapcpdf-2009-06-20-is-markov-the-f-expansions-lie-in-a-subshifthtmlpage=82 data-page=82 class=ts-thumb lazyload alt=Page 82: homepageswarwickacukhomepageswarwickacuk~masbbPapers48-mapcpdf · 2009-06-20 · is Markov the f-expansions lie in a subshift of finite type which is in fact close to geodesic loading=lazy src=data:imagegifbase64iVBORw0KGgoAAAANSUhEUgAAAAIAAAACCAQAAADYv8WvAAAAD0lEQVR42mP8X8AwAgiABKBAv+vAXklAAAAAElFTkSuQmCC data-src=https:reader033vdocumentsusreader033viewer20220603025f08779f7e708231d42227edhtml5thumbnails82jpg width=140 height=200 divdiv
