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math.PR2016
Laplacian growth, sandpiles and scaling limits
Lionel Levine, Yuval Peres
Laplacian growth is the study of interfaces that move in proportion to harmonic measure. Physically, it arises in fluid flow and electrical problems involving a moving boundary. We…
math.PR2016
Interpolating between random walk and rotor walk
Wilfried Huss, Lionel Levine, Ecaterina Sava-Huss
We introduce a family of stochastic processes on the integers, depending on a parameter and interpolating between the deterministic rotor walk (p=0) and the simple ra…