The Heat Equation on Fractals and other Discrete Domains. By: Martin D. Buck (with a great deal of help from Matt Begue ). Outline. Introduction to Fractals Contractions maps and the self-similar identity The Graph Laplacian The Heat Equation The Cycle G raph - PowerPoint PPT Presentation
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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
![A discrete chaotic dynamical system on the Sierpinski gasketdetails see [1–3, 5, 7, 8, 12]). As typical examples for fractals can be given the Julia sets of the functions (or discrete](https://img.dokumen.tips/doc/110x75/60212fe7dd4cec2bab251266/a-discrete-chaotic-dynamical-system-on-the-sierpinski-gasket-details-see-1a3.jpg)
