论文标题
随着漂移的整数动态随机步行
Dynamical random walk on the integers with a drift
论文作者
论文摘要
在本说明中,我们研究了内部状态的动态随机步行(DRW)。我们考虑一个粒子,该粒子在$ \ mathbb {z} $上执行动态随机步行,并且其局部动力学是通过扩展地图给出的。我们为粒子$ z_n $的位置提供足够的条件,以满足中心限制定理。
In this note we study dynamical random walks (DRW) with internal states. We consider a particle which performs a dynamical random walk on $\mathbb{Z}$ 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.