The quenched central limit theorem for a model of random walk in random environment
نویسندگان
چکیده
منابع مشابه
Central Limit Theorem in Multitype Branching Random Walk
A discrete time multitype (p-type) branching random walk on the real line R is considered. The positions of the j-type individuals in the n-th generation form a point process. The asymptotic behavior of these point processes, when the generation size tends to infinity, is studied. The central limit theorem is proved.
متن کاملAlmost sure functional central limit theorem for ballistic random walk in random environment
We consider a multidimensional random walk in a product random environment with bounded steps, transience in some spatial direction, and high enough moments on the regeneration time. We prove an invariance principle, or functional central limit theorem, under almost every environment for the diffusively scaled centered walk. The main point behind the invariance principle is that the quenched me...
متن کاملAlmost Sure Functional Central Limit Theorem for Non-nestling Random Walk in Random Environment
We consider a non-nestling random walk in a product random environment. We assume an exponential moment for the step of the walk, uniformly in the environment. We prove an invariance principle (functional central limit theorem) under almost every environment for the centered and diffusively scaled walk. The main point behind the invariance principle is that the quenched mean of the walk behaves...
متن کاملCentral Limit Theorem for Branching Random Walks in Random Environment
We consider branching random walks in d-dimensional integer lattice with time-space i.i.d. offspring distributions. When d ≥ 3 and the fluctuation of the environment is well moderated by the random walk, we prove a central limit theorem for the density of the population, together with upper bounds for the density of the most populated site and the replica overlap. We also discuss the phase tran...
متن کاملCentral Limit Theorem for the Excited Random Walk in Dimension
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d ≥ 2.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Methods of Functional Analysis and Topology
سال: 2020
ISSN: 1029-3531
DOI: 10.31392/mfat-npu26_4.2020.02