香蕉视频

Title: About the elephant random walk

Abstract: The elephant random walk (ERW) is a discrete-time random walk on integers which was introduced in the early 2000s by two physicists in order to investigate how long-range memory affects the behavior of the random walk. In this talk, we will present the process and how martingale theory can be used to obtain results on the asymptotic behavior of the ERW and its generalization to higher dimension. Then, we will see how the behavior changes when the memory is no longer uniform. Finally, depending on time, we will explain the link between the ERW and other reinforced processes such as Polya urns or random recursive trees.

In person: Burnside Hall 1214

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