On the range of reversible random walks on \(Z^ 2\) in a random environment

DOI10.1007/BF02212888zbMath0819.60058OpenAlexW1974121421MaRDI QIDQ1890746

Xian Yin Zhou

Publication date: 23 May 1995

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

Full work available at URL: https://doi.org/10.1007/bf02212888

zbMATH Keywords

law of large numbersrandom environmentrandom walkeffective resistanceirreversible random walk

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Cites Work

• Unnamed Item
• The construction of Brownian motion on the Sierpinski carpet
• An invariance principle for reversible Markov processes. Applications to random motions in random environments
• The range of stable random walks
• Random walks on graphs, electric networks and fractals
• Transition densities for Brownian motion on the Sierpinski carpet
• Green function estimates and their applications to the intersections of symmetric random walks