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math.PR2024
Hitting time mixing for the random transposition walk
Vishesh Jain, Mehtaab Sawhney
Consider shuffling a deck of cards, labeled through , as follows: at each time step, pick one card uniformly with your right hand and another card, independently and uni…
math.PR2022★ 1 cited
Dimension reduction for maximum matchings and the Fastest Mixing Markov Chain
Vishesh Jain, Huy Tuan Pham, Thuy-Duong Vuong
Let be an undirected graph with maximum degree and vertex conductance . We show that there exists a symmetric, stochastic matrix , with off-diagonal entr…