Probability, Ergodic Theory, Mathematical Physics Seminar

The Limit Shape of the Leaky Abelian Sandpile Model

Ian Alevy, University of Rochester

Friday, December 11th, 2020
3:00 PM - 4:00 PM
Zoom 978 2114 1710

The leaky abelian sandpile model is a growth model in which n grains of sand start at the origin in Z^2 and diffuse along the vertices 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. We compute the limit shape as a function of d in the symmetric case where each topple sends an equal amount of sand to each neighbor.

Event contact: arjun dot krishnan at rochester dot edu