149 citations · 841 across the 44 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 1 cited
The looping constant of Z^d
Lionel Levine, Yuval Peres
The looping constant is the expected number of neighbors of the origin that lie on the infinite loop-erased random walk in . Poghosyan, Priezzhev and Ruelle, and inde…
math.PR2011★ 32 cited
Internal DLA and the Gaussian free field
David Jerison, Lionel Levine, Scott Sheffield
In previous works, we showed that the internal DLA cluster on \Z^d with t particles is a.s. spherical up to a maximal error of O(\log t) if d=2 and O(\sqrt{\log t}) if d > 2. This…
math.PR2011
Internal DLA in Higher Dimensions
David Jerison, Lionel Levine, Scott Sheffield
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d > 2. We show that A(t) is approximately spherical, up…