Heat kernel fluctuations for a resistance form with non-uniform volume growth

DOI10.1112/plms/pdl025zbMath1116.58025arXiv1210.5860OpenAlexW2110797128MaRDI QIDQ5292708

David A. Croydon

Publication date: 22 June 2007

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

Full work available at URL: https://arxiv.org/abs/1210.5860

Mathematics Subject Classification ID

Transition functions, generators and resolvents (60J35) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (10)

Heat Kernel Fluctuations for Stochastic Processes on Fractals and Random Media ⋮ Spectral asymptotics for \(V\)-variable Sierpinski gaskets ⋮ Scaling limit for the random walk on the largest connected component of the critical random graph ⋮ Volume growth and heat kernel estimates for the continuum random tree ⋮ Scaling limits for simple random walks on random ordered graph trees ⋮ Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice ⋮ Heat kernel estimates for FIN processes associated with resistance forms ⋮ Brownian motion on stable looptrees ⋮ Scaling limits of the three-dimensional uniform spanning tree and associated random walk ⋮ Resistance forms, quasisymmetric maps and heat kernel estimates

Cites Work

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• Brownian motion on a random recursive Sierpinski gasket
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• Fluctuation of the transition density for Brownian motion on random recursive Sierpiński gaskets.
• Harmonic calculus on limits of networks and its application to dendrites
• Volume growth and heat kernel estimates for the continuum random tree
• Random walk on the incipient infinite cluster on trees
• Thick and thin points for random recursive fractals
• Stability of parabolic Harnack inequalities
• Bounds for the fundamental solution of a parabolic equation
• Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs
• Manifolds and graphs with slow heat kernel decay

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