题 目: Biased random walk on Galton-Watson trees
报告人: Elie Aidekon (Paris VI)
摘 要：Biased random walks on Galton-Watson trees are a particular instance of random walk in random environment. While random walks in random environment are well studied in dimension 1, higher dimensions are still poorly understood. Random walks on trees offer the advantage of being more tractable while being rich enough to display interesting phenomena. Our goal will be to understand the influence of the heterogeneity of the tree in the behavior of the walk. We will study both transient and recurrent regimes: in the transient regime, we will present several results concerning the speed of the random walk. In the recurrent regime, we will show how to find the scaling limit of the walk.
This mini-course will be based on the papers Lyons, Pemantle, Peres (1995,1996) , Peres, Zeitouni (2006), Ben Arous, Hu, Olla, Zeitouni (2013), Ben Arous, Fribergh, Sidoravicius (2014), Aïdékon (2014), Aïdékon, de Raphélis (2017).
时间和地点：5月2号 14:25-17:00 后主楼1223
5月4号 9:10-11:20 后主楼1220
5月7号 14:25-17:00 教8楼206
5月9号 14:25-17:00 后主楼1220