Download - The Heat Equation on Fractals and other Discrete Domains

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The Heat Equation on Fractals and other Discrete Domains

By: Martin D. Buck (with a great deal of help from Matt Begue)

The Heat Equation on Fractals and other Discrete DomainsOutlineIntroduction to FractalsContractions maps and the self-similar identityThe Graph LaplacianThe Heat EquationThe Cycle GraphThe Spectral Dimension of the OctagasketIntroduction to FractalsIntroduction to Fractals

The Graph LaplacianThe Graph Laplacian The Heat Equation The Heat Equation on GraphsThe Heat Equation on a Cycle Graph

Heat Kernel AsymptoticSHeat Kernel Asymptotics

Heat Kernel Asymptotics

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