Ballisticity conditions for random walk in random environment

DOI10.1007/s00440-010-0268-9zbMath1225.60157arXiv0903.4465OpenAlexW2109397541MaRDI QIDQ718876

Alejandro F. Ramírez, Alexander Drewitz

Publication date: 27 September 2011

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.4465

zbMATH Keywords

asymptotic directionrandom walk in random environmentballisticity conditionsslowdowns

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37)

Related Items (5)

Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in i.i.d. environments ⋮ Selected Topics in Random Walks in Random Environment ⋮ Quenched exit estimates and ballisticity conditions for higher-dimensional random walk in random environment ⋮ Ellipticity criteria for ballistic behavior of random walks in random environment ⋮ Local trapping for elliptic random walks in random environments in \(\mathbb {Z}^d\)

Cites Work

• Slowdown estimates for ballistic random walk in random environment
• Asymptotic direction for random walks in random environments
• A law of large numbers for random walks in random environment
• An effective criterion for ballistic behavior of random walks in random environment
• A non-ballistic law of large numbers for random walks in i. i. d. random environment
• On a class of transient random walks in random environment
• Random walks in a random environment

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