DETERMINISTIC WALKS IN RANDOM ENVIRONMENT

• 成果类型: Article
• 署名作者: Aimino, Romain; Liverani, Carlangelo
• 署名单位: Universidade do Porto; University of Rome Tor Vergata
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/19-AOP1421
• 发表日期: 2020
• 页码: 2212-2257
• 关键词: persistent random-walks; central-limit-theorem; lorentz tubes; recurrence; decay

摘要

Motivated by the random Lorentz gas, we study deterministic walks in random environment and show that (in simple, yet relevant cases) they can be reduced to a class of random walks in random environment where the jump probability depends (weakly) on the past. In addition, we prove few basic results (hopefully, the germ of a general theory) for the latter purely probabilistic model.