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NON-PERTURBATIVE APPROACH TO RANDOM WALK IN MARKOVIAN ENVIRONMENT
Random Walk Random environment CLT Gibbs
2015/9/29
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 ...
Central Limit Theorem for Excited Random Walk in the Recurrent Regime
Recurrent Regime Excited Random Walk
2015/9/29
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...
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions
Analysis of random stroll super cube dimension
2015/7/14
Asymptotic Analysis of a Random Walk on a Hypercube with Many Dimensions。
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS
Moderate growth random walk limited group
2015/7/14
MODERATE GROWTH AND RANDOM WALK ON FINITE GROUPS.
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients
Applications nilpotent quotients random walk
2015/7/14
An Application of Harnack Inequalitise to Random Walk on Nilpotent Quotients。
Directed random walk on an oriented percolation cluster
Random walk, dynamical random environment, oriented percolation, supercritical cluster, central limit theorem in random environment
2012/4/16
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...
Upper bounds for the maximum of a random walk with negative drift
Limit theorems random walks renewal theorem
2011/9/21
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 ...
Random Walk on a Co-Compact Fuchsian Group: Behavior of the Green's Function at the Spectral Radius
hyperbolic group surface group randomwalk Green’s function Gromov boundary Martin boundary Ruelle operator theorem
2011/9/22
Abstract: It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also show...
Spanning trees of graphs on surfaces and the intensity of loop-erased random walk on Z^2
Uniform spanning tree loop-erased random walk abelian sandpile model
2011/9/14
Abstract: We show how to compute the probabilities of various connection topologies for uniformly random spanning trees on graphs embedded in surfaces. As an application, we show how to compute the "i...
Convergence in law for the branching random walk seen from its tip
branching random walk Convergence its tip Probability
2011/9/5
Abstract: Considering a critical branching random walk on the real line. In a recent paper, Aidekon [3] developed a powerful method to obtain the convergence in law of its minimum after a log-factor n...
The Simple Random Walk Snake on Z^4 is Recurrent
Simple Random Walk Snake Recurrent Probability
2011/8/26
Abstract: Consider the branching simple random walk on Z^d indexed by a critical geometric Galton-Watson tree conditioned to survive. Using the concept of unimodular random graphs, we show that the wa...
The Hitting Times with Taboo for a Random Walk on an Integer Lattice
random walks on integer lattices hitting times taboo probabilities branching random walk
2011/8/26
Abstract: For a symmetric, homogeneous and irreducible random walk on d-dimensional integer lattice Z^d, having zero mean and a finite variance of jumps, we study the passage times (with possible infi...
Biased random walk in positive random conductances on $\mathbb{Z}^d$
Random walk in random conductances Heavy-tailed random variables
2011/8/25
Abstract: We study the biased random walk in positive random conductances on $\mathbb{Z}^d$. This walk is transient in the direction of the bias. Our main result is that the random walk is ballistic i...
Intrinsic branching structure within random walk on $\mathbb{Z}$
random walk branching process random environment invariant density
2011/1/17
In this paper, we reveal the branching structure for a non-homogeneous random walk with bounded
jumps. The ladder time T1, the first hitting time of [1,∞) by the walk starting from 0, could be expres...
Penalisation of the symmetric random walk by several functions of the supremum
Penalisation symmetric random several functions of the supremum
2011/1/21
all ( ,F1,P,X,F) the canonical space for the standard random walk on Z. Thus, denotes the set of paths : N ! Z such that | (n + 1) − (n)| = 1, X = (Xn, n 0) is the canonical coordinate proc...