One-Dimensional Excited Random Walk with Unboundedly Many Excitations Per Site
type: CreativeWork
description: We study a discrete time excited random walk on the integers lattice requiring a tail decay estimate on the number of excitations per site and extend the existing framework, methods, and results to a wider class of excited random walks. We give criteria for recurrence versus transience, ballisticity versus zero linear speed, completely classify limit laws in the transient regime, and establish a functional limit laws in the recurrence regime.
abstract: We study a discrete time excited random walk on the integers lattice requiring a tail decay estimate on the number of excitations per site and extend the existing framework, methods, and results to a wider class of excited random walks. We give criteria for recurrence versus transience, ballisticity versus zero linear speed, completely classify limit laws in the transient regime, and establish a functional limit laws in the recurrence regime.
author: Chakhtoun, Omar
keywords: Probability, random walks, excited random walks, cookie walks, large deviations, diffusion approximation, branching processes
date published: 2019-02-01T08:00:00Z
date modified: 2026-07-24T02:00:35Z
provider: City University of New York - Graduate Center
publisher: Networked Digital Library of Theses and Dissertations
type: WebPage
source organization: The Graduate School and University Center of The City University of New York