一维随机环境中最近邻随机游动的熄灭极限定理
Quenched limit theorems for nearest neighbour random walks in 1D random environment
摘要：
众所周知，由于陷阱的存在，一维随机环境中的随机游动会表现出次扩散行为。在本文中，我们证明了不同的陷阱的通过时间是渐近独立的指数随机变量的参数形成，渐近，一个泊松过程。这使我们能够证明弱淬火极限定理中的subdiffusive制度的贡献的陷阱起着主导作用。
英文摘要：
It is well known that random walks in one dimensional random environment can exhibit subdiffusive behavior due to presence of traps. In this paper we show that the passage times of different traps are asymptotically independent exponential random variables with parameters forming, asymptotically, a Poisson process. This allows us to prove weak quenched limit theorems in the subdiffusive regime where the contribution of traps plays the dominating role.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
