149 citations · 841 across the 44 of their papers we have counts for
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math.PR2014
The range of a rotor walk
Laura Florescu, Lionel Levine, Yuval Peres
In a \emph{rotor walk} the exits from each vertex follow a prescribed periodic sequence. On an infinite Eulerian graph embedded periodically in , we show that any simple roto…
math.PR2014★ 1 cited
Oil and water: a two-type internal aggregation model
Elisabetta Candellero, Shirshendu Ganguly, Christopher Hoffman +1
We introduce a two-type internal DLA model which is an example of a non-unary abelian network. Starting with n "oil" and n "water" particles at the origin, the particles diffuse in…
math.PR2014★ 14 cited
Threshold state and a conjecture of Poghosyan, Poghosyan, Priezzhev and Ruelle
Lionel Levine
We prove a precise relationship between the threshold state of the fixed-energy sandpile and the stationary state of Dhar's abelian sandpile: In the limit as the initial condition…