Abstract:
Relation between fractal percolation and random walks has been noticed since Peres 1996. Recently, there has been progress on hitting probability of a distant set for the sum of independent simple random walks in Asselah et al. 2023. We show that this phenomenon holds for fractal percolation as well, based on general methods of energy of product of Markov processes introduced in Salisbury 1996. This talk is based on joint work with Xinxin Chen and Yuval Peres.
Biography:
Tianyi Bai is currently an assistant researcher at Chinese Academy of Sciences. He was postdoctoral researcher at NYU Shanghai from 2021 to 2023. Bai obtained his undergraduate degree from Peking University in 2017, master's degree from Université Paris VI in 2018, PhD degree from Université Paris XIII in 2021, and has been assistant researcher at the Chinese Academy of Sciences since September 2023. His main research interests include branching random walk, potential theory, Brownian loops and statistical physics.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.