On some random walks on \(\mathbb{Z}\) in random medium

DOI10.1214/aop/1029867128zbMath1021.60034OpenAlexW1603961411MaRDI QIDQ1872294

Julien Brémont

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1029867128

zbMATH Keywords

Lyapunov exponentsinvariant measureMarkov chaincentral limit theoremharmonic coordinatespositive random matrices

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) 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) Processes in random environments (60K37) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

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