Random walk in cooling random environment: Recurrence versus transience and mixed fluctuations

DOI10.1214/21-AIHP1184zbMath1492.60051arXiv1903.09200OpenAlexW2923792656MaRDI QIDQ2155522

Conrado da Costa, Yuki Chino, W. Th. F. den Hollander, Luca Avena

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/1903.09200

zbMATH Keywords

random walkdynamic random environmentcooling regimesmixed fluctuationsrecurrence versus transiencerefreshing times

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Processes in random environments (60K37)

Related Items (2)

Evolution of a passive particle in a one-dimensional diffusive environment ⋮ Laws of large numbers for weighted sums of independent random variables: a game of mass

Cites Work

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• Brownian Motion, Martingales, and Stochastic Calculus
• Random Walks in Cooling Random Environments
• One-dimensional Brownian motion and the three-dimensional Bessel process
• The Limiting Behavior of a One-Dimensional Random Walk in a Random Medium
• Random walks in a random environment

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