Arvind Singh

activity

20052007

most citedRate of growth of a transient cookie random walk

2 citations · 2 across the 2 of their papers we have counts for

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math.PR2007★ 2 cited

Rate of growth of a transient cookie random walk

Anne-Laure Basdevant, Arvind Singh

We consider a one-dimensional transient cookie random walk. It is known from a previous paper that a cookie random walk $(X_{n})$ has positive or zero speed according to some positiv…

math.PR2006

A slow transient diffusion in a drifted stable potential

Arvind Singh

We consider a diffusion process $X$ in a random potential $\V$ of the form $\V_x = §_x -δx$ where $δ$ is a positive drift and $§$ is a strictly stable process of index $α \in (1, 2)$ …

math.PR2005

Limiting behavior of a diffusion in an asymptotically stable environment

Arvind Singh

Let $V$ be a two sided random walk and let $X$ denote a real valued diffusion process with generator $1/2 e^{V ([x])} \frac{d}{d x} (e^{- V ([x])} \frac{d}{d x})$ . This process is known t…