Limiting shapes for a nonabelian sandpile growth model

Speaker  Anne Fey

Host  David Wilson

Affiliation  Technische Universiteit Delft

Duration  00:55:58

Date recorded  15 January 2010

We introduce the splitting model as a nonabelian variant of the abelian sandpile growth model (ASGM). For the ASGM, several limiting shape results have been proved, using the abelian property and monotonicity. Neither property holds for the splitting model, but nevertheless we present new limiting shape results, including an octagonal limiting shape.

Joint work with Haiyan Liu.

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