Behavior of random walks on \(\mathbb Z\) in Gibbsian medium

DOI10.1016/j.crma.2004.03.030zbMath1044.60099OpenAlexW1999832945MaRDI QIDQ1876870

Julien Brémont

Publication date: 20 August 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.03.030

zbMATH Keywords

random mediumrandom walksdichotomypointwise functional central limit theorem

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Processes in random environments (60K37)

Related Items (2)

Deterministically driven random walks in a random environment on \(\mathbb{Z}\) ⋮ Lingering random walks in random environment on a strip

Cites Work

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• On some random walks on \(\mathbb{Z}\) in random medium
• Convergence of iterates of a transfer operator, application to dynamical systems and to Markov chains
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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