带漂移的整数动态随机游走

IF 1.5 Q2 PHYSICS, MATHEMATICAL Annales de l Institut Henri Poincare D Pub Date : 2023-08-01 DOI:10.1214/22-aihp1300

Dmitry Dolgopyat, D. Karagulyan

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引用次数: 0

摘要

。我们考虑一个粒子，它在Z上进行动态随机游走，其局部动力学由展开映射给出。给出了粒子zn的位置满足中心极限定理的充分条件。

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Dynamical random walk on the integers with a drift

. We consider a particle which performs a dynamical random walk on Z and whose local dynamics is given by expanding maps. We provide suﬃcient conditions for the position of the particle z n to satisfy the Central Limit Theorem.

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