Abelian Sandpiles and Abelian Networks

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• Lionel Levine (Cornell University)
• Tuesday 29 October 2024, 10:30-11:15
• Seminar Room 1, Newton Institute.

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SSDW03 - Geometry, occupation fields, and scaling limits

The Abelian Networks are a class of 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. A promising candidate is Activated Random Walk.

This talk is part of the Isaac Newton Institute Seminar Series series.

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