Renormalisation of finitely ramified fractals

DOI10.1017/S0308210500022666zbMath0874.28010OpenAlexW2171234667MaRDI QIDQ4857101

Volker Metz

Publication date: 6 November 1997

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022666

zbMATH Keywords

diffusionscontraction theoremrenormalization mapfinitely ramified fractalsnested fractalsirreducible Dirichlet operatorquotients of Dirichlet forms on finite graphs

Mathematics Subject Classification ID

Dirichlet forms (31C25) Diffusion processes (60J60) Fractals (28A80)

Related Items (7)

Shorted operators: An application in potential theory ⋮ Brownian motion on a random recursive Sierpinski gasket ⋮ The cone of diffusions on finitely ramified fractals. ⋮ ``Laplacians on finitely ramified, graph directed fractals ⋮ The homogenization problem for Vicsek set ⋮ Renormalization contracts on nested fractals. ⋮ The Nagumo equation on self-similar fractal sets.

Cites Work

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• A diffusion defined on a fractal state space
• On a spectral analysis for the Sierpiński gasket.
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• Brownian motion on the Sierpinski gasket
• Dirichlet forms and analysis on Wiener space
• Transition density estimates for Brownian motion on affine nested fractals
• Heat kernels on infinite graph networks and deformed Sierpinski gaskets
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Shorted Operators. II

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