Topic:
Favorite Sites for Simple Random Walk in Two and More Dimensions
Date & Time:
Thursday, September 26, 2024 - 17:00 to 18:00
Speaker:
Izumi Okada, Chiba University
Location:
W923, West Hall, NYU Shanghai New Bund Campus
Abstract:
We consider favorite sites, i.e., sites that achieve the maximal local time for a discrete-time simple random walk. We show that the limsup of the number of favorite sites is 3 with probability one in d=2. We also give sharp asymptotics of the number in higher dimensions.
This talk is based on a joint work with Chenxu Hao (Peking), Xinyi Li (Peking) and Yushu Zheng (CAS).
Biography:
Izumi Okada is currently a tenured associate professor in Chiba University. She completed her PhD in Tokyo Institute of Technology. She is interested in probability theory and related topics.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.