Fluctuation of the transition density for Brownian motion on random recursive Sierpiński gaskets.

DOI10.1016/S0304-4149(00)00073-9zbMath1047.60084MaRDI QIDQ1879523

Takashi Kumagai, Benjamin M. Hambly

Publication date: 22 September 2004

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

Laplace operatorheat kernelgeneral branching processrandom recursive fractalsresolvent density

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Brownian motion (60J65) Diffusion processes (60J60)

Related Items (5)

Heat kernel fluctuations for a resistance form with non-uniform volume growth ⋮ Weyl asymptotics for Hanoi attractors ⋮ Heat Kernel Fluctuations for Stochastic Processes on Fractals and Random Media ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ Resistance forms, quasisymmetric maps and heat kernel estimates

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• Brownian motion on nested fractals
• Thick and thin points for random recursive fractals
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• Bounds for the fundamental solution of a parabolic equation

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