Probability Seminar
Thursday, March 4, 2021, 3:15pm, Virtual
Lionel Levine (Cornell)
: Abelian Sandpiles and Abelian Networks
Abstract:- Abelian Networks are interacting particle systems whose final state does not depend on the order of interactions. A revealing example is the Abelian Sandpile of Bak-Tang-Wiesenfeld, a toy model of sand cascading down a pile. This model has certain “non-universal” features, and we'll identify "slow mixing" as the culprit: The threshold state of the sandpile retains some memory of its initial state. Then we’ll explore the design space of Abelian Networks in search of a model with more universal features.
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