RECURRENCE FOR PERSISTENT RANDOM WALKS IN TWO DIMENSIONS

DOI10.1142/S0219493707001937zbMath1114.60039arXivmath/0507411WikidataQ62384023 ScholiaQ62384023MaRDI QIDQ3439931

Marco Lenci

Publication date: 21 May 2007

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507411

zbMATH Keywords

recurrencerandom environmentdual graphpersistent random walksNewtonian random walksSchmidt-Conze theoremTóth environments

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

Probability and algorithmics: a focus on some recent developments ⋮ Persistent random walks. I. Recurrence versus transience ⋮ Non-homogeneous random walks on a semi-infinite strip ⋮ Central limit theorem and recurrence for random walks in bistochastic random environments ⋮ Recurrence for quenched random Lorentz tubes ⋮ Conservative random walk

Cites Work

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• Symmetric random walks in random environments
• Persistent random walks in a one-dimensional random environment
• Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions
• Persistent random walks in random environment
• Weak convergence of a random walk in a random environment
• Sur un critère de récurrence en dimension 2 pour les marches stationnaires, applications
• On joint recurrence
• Typicality of recurrence for Lorentz gases

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