29 citations · 203 across the 38 of their papers we have counts for
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math.PR2022
A Random Card Shuffling Process
Joel Brewster Lewis, Mehr Rai
Consider a randomly shuffled deck of cards with red cards and black cards. We study the average number of moves it takes to go from a randomly shuffled deck to a deck…
math.PR2020
The tree search game for two players
Ravi B. Boppana, Joel Brewster Lewis
We consider a two-player search game on a tree . One vertex (unknown to the players) is randomly selected as the target. The players alternately guess vertices. If a guess i…
math.PR2019★ 1 cited
Scaling limit of soliton lengths in a multicolor box-ball system
Joel Lewis, Hanbaek Lyu, Pavlo Pylyavskyy +1
The box-ball systems are integrable cellular automata whose long-time behavior is characterized by soliton solutions, with rich connections to other integrable systems such as the…