2019/09/07 by Rafael Pereira dos Santos, Santos, Rafael
Mathematics · Physics and Astronomy · #60K37 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1909.03159
openalex publication_date 2019/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we give a detailed construction of an example of excited random walk with speed zero in an ergodic random environment that have an infinite average number of cookies in each site. This example confirms that a result of Mountford, Pimentel and Valle (2006), which gives a sufficient condition for excited random walks in deterministic environment to have positive speed, can not be extended to ergodic random environment.