文章基本信息

标题：Almost Sure Invariance Principle for Continuous-Space Random Walk in Dynamic Random Environment
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作者：Mathew Joseph ; Firas Rassoul-Agha
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2011
卷号：VIII
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：
We consider a random walk on Rd in a polynomially mixing random
environment that is refreshed at each time step. We use a martingale approach to
give a necessary and sufficient condition for the almost-sure functional central limit
theorem to hold.
关键词：Random Walks;Invariance Principle;Random Environments;Martingales