149 citations · 841 across the 44 of their papers we have counts for
Showing 2010 · math.PRShow all
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math.PR2010
Logarithmic fluctuations for internal DLA
David Jerison, Lionel Levine, Scott Sheffield
Let each of n particles starting at the origin in Z^2 perform simple random walk until reaching a site with no other particles. Lawler, Bramson, and Griffeath proved that the resul…
math.PR2010★ 16 cited
Fast simulation of large-scale growth models
Tobias Friedrich, Lionel Levine
We give an algorithm that computes the final state of certain growth models without computing all intermediate states. Our technique is based on a "least action principle" which ch…
math.PR2010★ 30 cited
The approach to criticality in sandpiles
Anne Fey, Lionel Levine, David B. Wilson
A popular theory of self-organized criticality relates the critical behavior of driven dissipative systems to that of systems with conservation. In particular, this theory predicts…