Random walk in random sceneryBrownian motion in Brownian sceneryStrong approximationRandom walks are studied intensively in probability theory. The term was coined by P贸lya (1921). In this chapter we shall analyse several walks; for example, walks on the x -axis and in the first quadrant of ...
Consider a simple random walk on ℤ d whose sites are colored black or white independently with probabilityq, resp. 1−q. Walk and coloring are i
1.The Complete Convergence for Random Walk in Random Scenery;随机环境中的随机游动的完全收敛性 2.Some Studies of One-Dimensional Random Walks in Romdom Environments;随机环境中一维随机游动的一些研究 3.Existence for Non Nearest Neighbor Random Walk in Random Environment随机环境中非紧邻随机游动的存在性...
Ko¨nig, `Self-intersection local times of random walks: exponential moments in subcritical dimensions', Probab. Theory Related Fields ... MKW Becker - 《Probability Theory & Related Fields》 被引量: 0发表: 2012年 Moderate deviations for a random walk in random scenery We investigate the ...
Random walk in random scenery Local time Large deviations Stretched exponential tails 1. Introduction 1.1. The model Let S=(Sn)n∈N0 be a random walk on Zd starting at the origin (more precisely, S=(Sn)n∈N0 is a sequence of partial sums of i.i.d. Zd-valued random variables). Defin...
Random walks in random scenery are processes defined by $Z_n:=\sum_{k=1}^n\xi_{X_1+...+X_k}$, where $(X_k,k\ge 1)$ and $(\xi_y,y\in\mathbb Z)$ are two independent sequences of i.i.d. random variables. We assume here that their distributions belong to the normal do...
15.The Complete Convergence for Random Walk in Random Scenery;随机环境中的随机游动的完全收敛性 16.Second Order Stochastic Lattice Dynamical Systems: Existence of Random Attractors;二阶随机格子动力系统的随机吸引子 17.Some Studies of One-Dimensional Random Walks in Romdom Environments;随机环境中一维随机...
11.The Complete Convergence for Random Walk in Random Scenery;随机环境中的随机游动的完全收敛性 12.Some Studies of One-Dimensional Random Walks in Romdom Environments;随机环境中一维随机游动的一些研究 13.Existence for Non Nearest Neighbor Random Walk in Random Environment随机环境中非紧邻随机游动的存在...
Random walks in random scenery are processes defined by $Z_n:=\sum_{k=1}^n\xi_{X_1+...+X_k}$, where $(X_k,k\ge 1)$ and $(\xi_y,y\in{\mathbb Z}^d)$ are two independent sequences of i.i.d. random variables with values in ${\mathbb Z}^d$ and $\mathbb R$ respe...
Math. 5 (1999) 107–113.Stationary Measures for Random Walks in aRandom Environment with Random SceneryRussell Lyons and Oded SchrammAbstract. Let Γ act on a countable set V with only finitely many orbits.Given a Γ-invariant random environment for a Markov chain on V and arandom scenery,...