Multifractal formalisms for the local spectral and walk dimensions

DOI10.1017/S0305004101005618zbMath1002.60064MaRDI QIDQ4534434

Jun Kigami, Takashi Kumagai, Benjamin M. Hambly

Publication date: 16 September 2002

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

diffusionLaplace operatorDirichlet formmultifractal formalism

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Fractals (28A80)

Related Items (6)

Fluctuation of the transition density for Brownian motion on random recursive Sierpiński gaskets. ⋮ Estimates of the Local Spectral Dimension of the Sierpinski Gasket ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ Extremal \(L_p\)-norms of linear operators and self-similar functions ⋮ Equivalence conditions for on-diagonal upper bounds of heat kernels on self-similar spaces ⋮ Essential self-adjointness of the graph-Laplacian

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