Event
Jian Ding, Chicago
Thursday, March 23, 2017 16:30to17:30
Burnside Hall
room 1205, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Three favorite sites occurs infinitely often for one-dimensional simple random walk.
For a one-dimensional simple random walk (S_t), for each time t we say a site x is a favorite site if it has the maximal local time. In this talk, I will present a joint work with Jianfei Shen, which states that with probability 1 three favorite sites occurs infinitely often. Our work is inspired by Tóth (2001), and disproves a conjecture of Erdős and Révész (1984) and of Tóth (2001). I will try to explain the proof steps.