Gaussian estimates for spatially inhomogeneous random walks on \(\mathbb Z^d\)

DOI10.1214/009117905000000440zbMath1102.60062arXivmath/0602624OpenAlexW1992543766MaRDI QIDQ2493180

Sami Mustapha

Publication date: 12 June 2006

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602624

zbMATH Keywords

Markov chainsGaussian estimatesdiscrete potential theorytransition kernel

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45) Discrete potential theory (31C20) Transition functions, generators and resolvents (60J35)

Related Items (10)

Combinatorics meets potential theory ⋮ Martin boundary of killed random walks on isoradial graphs ⋮ A parabolic Harnack principle for balanced difference equations in random environments ⋮ Constructing discrete harmonic functions in wedges ⋮ Rigorous scaling law for the heat current in disordered harmonic chain ⋮ Unnamed Item ⋮ Survival time of a heterogeneous random walk in a quadrant ⋮ Moments of exit times from wedges for non-homogeneous random walks with asymptotically zero drifts ⋮ Upper estimates for inhomogeneous random walks confined to the positive orthant ⋮ Quenched local central limit theorem for random walks in a time-dependent balanced random environment

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