"The Limit Shape of the Leaky Abelian Sandpile Model"

Professor Alevy of the Mathematics department will be giving a talk titled, "The Limit Shape of the Leaky Abelian Sandpile Model":
The leaky abelian sandpile model is a growth model exhibiting fractal structure. In the model, sand diffuses along vertices of Z^2 according to a toppling rule for unstable vertices. Striking patterns and long range structures are produced from these local rules. 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 and leaks a portion 1-1/d of its sand.

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Co-hosted with: Society of Undergraduate Mathematics Students

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