Jialu Shi

collaborators

2 papers

math.PR2025

Universality of Cutoff for Riffle Shuffling

Mark Sellke, Jialu Shi, Jiamin Wang

A Gilbert-Shannon-Reeds (GSR) shuffle is performed on a deck of $N$ cards by cutting the top $n \sim B in (N, 1/2)$ cards and interleaving the two resulting piles uniformly at random.…

math.PR2025

Large Deviations of Cover Time of Tori in Dimensions $d \geq 3$

Xinyi Li, Jialu Shi, Qiheng Xu

We consider large deviations of the cover time of the discrete torus $(Z / N Z)^{d}$ , $d \geq 3$ by simple random walk. We prove a lower bound on the probability that…

Universality of Cutoff for Riffle Shuffling

Large Deviations of Cover Time of Tori in Dimensions d≥3

Large Deviations of Cover Time of Tori in Dimensions $d \geq 3$