Shortest spanning trees and a counterexample for random walks in random environments

DOI10.1214/009117905000000783zbMath1102.60091arXivmath/0501533OpenAlexW2077310175WikidataQ125016755 ScholiaQ125016755MaRDI QIDQ2497160

Maury Bramson, Ofer Zeitouni, Martin P. W. Zerner

Publication date: 3 August 2006

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

Full work available at URL: https://arxiv.org/abs/math/0501533

zbMATH Keywords

zero-one law

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37)

Related Items

A zero-one law for recurrence and transience of frog processes ⋮ Quenched invariance principle for simple random walk on percolation clusters ⋮ Homogenization and non-homogenization of certain non-convex Hamilton-Jacobi equations ⋮ Stochastic Homogenization of Nonconvex Hamilton‐Jacobi Equations: A Counterexample ⋮ Mini-workshop: New horizons in motions in random media. Abstracts from the mini-workshop held February 26 -- March 4, 2023 ⋮ Strongly mixing smooth planar vector field without asymptotic directions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Generalized random walk in a random environment
• On the zero-one law and the law of large numbers for random walk in mixing random environ\-ment
• A non-ballistic law of large numbers for random walks in i. i. d. random environment
• A zero-one law for planar random walks in random environment
• Weighted sums of certain dependent random variables
• Random walks in a random environment