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The study of random walk in random evolving environment has attracted much attention lately. The basic idea is that, due to the time mixing properties of the environment, the CLT should hold in any ...
We consider excited random walk on a strip. We assume that the cookies are positive and that the total expected drift per site is less than 1/L where L is the width of the strip. We prove a quenched...
The method is to nd the asymptotic behavior of the ergodic sums of L1 functions for linear ows on the in nite staircase surface. Our methods also provide a new proof of J. Beck's central limit th...
We study the rate of convergence of symmetric random walks on finite groups to the uniform distribution. A notion of moderate growth is introduced that combines with eigenvalue techniques to give sh...
In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a designated source ver...
The range of a rotor walk     range  rotor walk       2015/8/14
In a rotor walk the exits from each vertex follow a prescribed periodic sequence. On an infinite Eulerian graph embedded periodically in Rd, we show that any simple rotor walk, regardless of rotor mec...
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions。
Diaconis, P. and R. Graham, An affine walk on the hypercube, Journal of Computational and Applied Mathematics 41 (1992) 215-235. Let Z$ be the group of binary d-tuples. We study the process X,, = AX...
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients。
A SUPER-CLASS WALK ON UPPER-TRIANGULAR MATRICES。
Convergence of the Bayes posterior measure is considered in canonical statistical settings where observations sit on a geometrical object such as a compact manifold, or more generally on a compact met...
We prove that self-avoiding walk on Z^d is sub-ballistic in any dimension d at least two. That is, writing ||u|| for the Euclidean norm of u \in Z^d, and SAW_n for the uniform measure on self-avoiding...
We consider directed random walk on the infinite percolation cluster generated by supercritical oriented percolation, or equivalently the space-time embedding of the `ancestral lineage' of an individu...
Abstract: Consider a random walk $S_n=\sum_{i=0}^n X_i$ with negative drift. This paper deals with upper bounds for the maximum $M=\max_{n\ge 1}S_n$ of this random walk in different settings of power ...

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