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Cookie-Excited Random Walks

  • Nicolas Privault

摘要

In this chapter we consider random walks in a cookie environment, also called excited random walks (ERWs), which are not Markovian and are used in physics and biology, to model the behavior of e.g. primitive organisms. Random walks in a random environment can be used for the understanding of macroscopic phenomena by rescaling, based on the modeling of random trajectories at a microscopic level.