Resolvent metric and the heat kernel estimate for random walks

DOI10.1016/j.spa.2014.07.012zbMath1304.60055OpenAlexW1996713790MaRDI QIDQ744229

Vincenzo Vespri, Andras Telcs

Publication date: 6 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.spa.2014.07.012

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (1)

Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions

Cites Work

• Random walk on the incipient infinite cluster for oriented percolation in high dimensions
• Lipschitz functions on spaces of homogeneous type
• Heat kernel estimates and parabolic Harnack inequalities on graphs and resistance forms
• Harnack inequalities and sub-Gaussian estimates for random walks
• Harmonic calculus on limits of networks and its application to dendrites
• The art of random walks.
• Resistance forms, quasisymmetric maps and heat kernel estimates
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Stability of parabolic Harnack inequalities
• Obtaining upper bounds of heat kernels from lower bounds
• Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs
• On the relation between elliptic and parabolic Harnack inequalities
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