Random walks in Dirichlet environments on \(\mathbb{Z}\) with bounded jumps

DOI10.1214/22-AIHP1352zbMATH Open1544.6005MaRDI QIDQ6596237

Daniel J. Slonim

Publication date: 2 September 2024

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

zbMATH Keywords

random environmentrandom walkballisticitybounded jumpsDirichlet environments

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Processes in random environments (60K37)

Cites Work

• Sub-ballistic random walk in Dirichlet environment
• Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment
• Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\)
• Recurrence and transience criteria for random walk in a random environment
• One-dimensional finite range random walk in random medium and invariant measure equation
• Integrability of exit times and ballisticity for random walks in Dirichlet environment
• Tubular recurrence
• Random walks in random medium on \(\mathbb Z\) and Lyapunov spectrum
• Edge oriented reinforced random walks and RWRE
• Random walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthday
• Asymptotic direction of random walks in Dirichlet environment
• Transient random walks on a strip in a random environment
• Random walks in a random environment
• Recurrence and transience of random walks in random environments on a strip
• Ballisticity of Random walks in Random Environments on $\mathbb{Z}$ with Bounded Jumps

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