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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 cards by cutting the top cards and interleaving the two resulting piles uniformly at random.…
math.PR2024
Tightness for random walks driven by the two-dimensional Gaussian free field at high temperature
Jian Ding, Jiamin Wang
We study random walks in random environments generated by the two-dimensional Gaussian free field. More specifically, we consider a rescaled lattice with a small mesh size and view…