Transition density asymptotics for some diffusion processes with multi-fractal structures

DOI10.1214/EJP.v6-82zbMath0974.60061MaRDI QIDQ5936790

Takashi Kumagai, Martin T. Barlow

Publication date: 1 August 2001

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/121424

zbMATH Keywords

heat equationdiffusion processtransition densitymulti-fractalspectral dimension

Mathematics Subject Classification ID

Brownian motion (60J65) Dirichlet forms (31C25) Diffusion processes (60J60)

Related Items (8)

Spectral asymptotics for Laplacians on self-similar sets ⋮ A trace theorem for Dirichlet forms on fractals ⋮ Geodesic metrics on fractals and applications to heat kernel estimates ⋮ Estimates of the Local Spectral Dimension of the Sierpinski Gasket ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ Time Changes of the Brownian Motion: Poincaré Inequality, Heat Kernel Estimate and Protodistance ⋮ Heat kernel asymptotics for the measurable Riemannian structure on the Sierpinski gasket ⋮ Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice

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