Homogenization of nested fractals

DOI10.1007/BF01213686zbMath0843.31004MaRDI QIDQ1912571

Shigeo Kusuoka, Takashi Kumagai

Publication date: 13 May 1996

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Markov chainmartingale methodBrownian motion on fractalshomogenization problem on nested fractals

Mathematics Subject Classification ID

Dirichlet forms (31C25) Ergodic theory of linear operators (47A35) Diffusion processes (60J60)

Related Items (9)

Estimates of the transition densities for the reflected Brownian motion on simple nested fractals ⋮ Brownian motion penetrating fractals. An application of the trace theorem of Besov spaces ⋮ Local limit theorems for sequences of simple random walks on graphs ⋮ ``Laplacians on finitely ramified, graph directed fractals ⋮ The random conductance model with heavy tails on nested fractal graphs ⋮ Periodic homogenization with an interface: the one-dimensional case ⋮ The homogenization problem for Vicsek set ⋮ Homogenization on disconnected selfsimilar fractal sets in \(\mathbb{R}\) ⋮ Modelling transport in disordered media via diffusion on fractals.

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