149 citations · 841 across the 44 of their papers we have counts for
Showing 2017 · math.PRShow all
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math.PR2017
Formation of large-scale random structure by competitive erosion
Shirshendu Ganguly, Lionel Levine, Sourav Sarkar
We study the following one-dimensional model of annihilating particles. Beginning with all sites of uncolored, a blue particle performs simple random walk from unt…
math.PR2017
Double jump phase transition in a soliton cellular automaton
Lionel Levine, Hanbaek Lyu, John Pike
In this paper, we consider the soliton cellular automaton introduced in [Takahashi 1990] with a random initial configuration. We give multiple constructions of a Young diagram desc…
math.PR2017★ 16 cited
Sandpiles on the square lattice
Bob Hough, Dan Jerison, Lionel Levine
We give a non-trivial upper bound for the critical density when stabilizing i.i.d. distributed sandpiles on the lattice . We also determine the asymptotic spectral ga…