Rate of growth of a transient cookie random walk

2007/03/09 by Anne-Laure Basdevant, Basdevant, Anne-Laure, Arvind Singh +1
Mathematics · #60F05 #60J80 #60K35 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics #math.PR #msc:60F05 #msc:60J80 #msc:60K35

paper · pdf · doi:10.48550/arxiv.math/0703275

arxiv created 2007/03/09 · openalex publication_date 2007/03/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 positive parameter α>1 or ≤ 1. In this article, we give the exact rate of growth of (X_n) in the zero speed regime, namely: for 0

Related

• On the speed of a cookie random walk
• On the speed of a one-dimensional random walk in a random environment perturbed by cookies of strength one
• A note on multi-type cookie random walk on integers
• An important excited random walk counter-example
• The Speed of a Random Walk Excited By Its Recent History