论文标题
建设性的方法限制了在条上进行反复扩散随机步行的定理
Constructive approach to limit theorems for recurrent diffusive random walks on a strip
论文作者
论文摘要
我们考虑在条带上进行复发的扩散随机步行。我们介绍了有限子域的绿色功能的建设性条件，这意味着具有多项式误差结合的中心极限定理，局部极限定理以及粒子过程观察的环境的混合。我们的条件可以在各种环境中进行验证，包括独立环境，准环境环境以及无穷大时渐近恒定的环境。呈现的条件涉及固定环境，特别是没有施加平稳性条件。
We consider recurrent diffusive random walks on a strip. We present constructive conditions on Green functions of finite sub-domains which imply a Central Limit Theorem with polynomial error bound, a Local Limit Theorem, and mixing of environment viewed by the particle process. Our conditions can be verified for a wide class of environments including independent environments, quasiperiodic environments, and environments which are asymptotically constant at infinity. The conditions presented deal with a fixed environment, in particular, no stationarity conditions are imposed.
