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math.PR2024
Large Deviations of Cover Time of Tori in Dimensions
Xinyi Li, Jialu Shi, Qiheng Xu
We consider large deviations of the cover time of the discrete torus , by simple random walk. We prove a lower bound on the probability that…
math.PR2024
Favorite sites for simple random walk in two and more dimensions
Chenxu Hao, Xinyi Li, Izumi Okada +1
On the trace of a discrete-time simple random walk on for , we consider the evolution of favorite sites, i.e., sites that achieve the maximal local time at…