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
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
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