RANDOM WALK IN QUASI-PERIODIC RANDOM ENVIRONMENT

DOI10.1142/S0219493709002543zbMath1170.60333OpenAlexW1965848330MaRDI QIDQ3622767

Julien Brémont

Publication date: 28 April 2009

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

Full work available at URL: https://doi.org/10.1142/s0219493709002543

zbMATH Keywords

central limit theoremLyapunov spectrumcoboundary equationfinite range random walktranslation on a torus

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamical systems involving maps of the circle (37E10) Processes in random environments (60K37) Functional limit theorems; invariance principles (60F17) Periodic and quasi-periodic flows and diffeomorphisms (37C55)

Related Items (max. 100)

Central limit theorem for recurrent random walks on a strip with bounded potential ⋮ Erratic behavior for 1-dimensional random walks in a Liouville quasi-periodic environment ⋮ Constructive approach to limit theorems for recurrent diffusive random walks on a strip

Cites Work

• Unnamed Item
• Recurrence and transience criteria for random walk in a random environment
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• On some random walks on \(\mathbb{Z}\) in random medium
• The cohomological equation for Roth-type interval exchange maps
• Random walks in a random environment
• Recurrence and transience of random walks in random environments on a strip

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