Probability Seminar

Sevak MkrtchyanUniversity of Rochester
The limit shape of the Leaky Abelian Sandpile Model

Monday, October 4, 2021 - 3:45pm
Malott 406

Abstract: The leaky abelian sandpile model (Leaky-ASM) is a growth model in which n grains of sand start at the origin in the square lattice and diffuse according to a toppling rule. A site can topple if its amount of sand is above a threshold. In each topple a site sends some sand to each neighbor and leaks a portion 1-1/d of its sand. This is a dissipative generalization of the Abelian Sandpile Model, which corresponds to the case d=1.