Any shape can ultimately cross information on two-dimensional abelian\n sandpile models

2017/08/04 by Viet-Ha Nguyen, Nguyen, Viet-Ha, Kévin Perrot +1
Computer Science · Physics and Astronomy · Mathematics · #Cellular Automata and Applications #Theoretical and Computational Physics #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1709.00464

Abstract

In this paper we study the abelian sandpile model on the two-dimensional grid\nwith uniform neighborhood, and prove that any family of neighborhoods defined\nas scalings of a continuous non-flat shape can ultimately perform crossing.\n

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