149 citations · 841 across the 44 of their papers we have counts for
6 papers · 1 filter
A duality principle for selection games
Lionel Levine, Scott Sheffield, Katherine E. Stange
A dinner table seats k guests and holds n discrete morsels of food. Guests select morsels in turn until all are consumed. Each guest has a ranking of the morsels according to how m…
Local-to-global principles for rotor walk
Giuliano Pezzolo Giacaglia, Lionel Levine, James Propp +1
In rotor walk on a finite directed graph, the exits from each vertex follow a prescribed periodic sequence. Here we consider the case of rotor walk where a particle starts from a d…
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…
How to make the most of a shared meal: plan the last bite first
Lionel Levine, Katherine E. Stange
If you are sharing a meal with a companion, how best to make sure you get your favourite mouthfuls? Ethiopian Dinner is a game in which two players take turns eating morsels from a…
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…
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…