Abelian Sandpiles and the Harmonic Model
There exists an entropy-preserving equivariant surjective map from the d-dimensional critical sandpile model to a certain closed, shift-invariant subgroup of the Cartesian product of infinitely many cycles, one for each node of the d-dimensional integer lattice (the ‘harmonic model’). A similar map can be constructed for the dissipative abelian sandpile model and be used to prove uniqueness and the Bernoulli property of the measure of maximal entropy for that model. (Joint work with Evgeny Verbitskiy)
Speaker Details
Klaus Schmidt is a Professor in the Mathematics Institute, University of Vienna. Previously, he was Chair of the Mathematics Department, University of Warwick, UK, and director of the Erwin Schrodinger International Institute for Mathematical Physics in Vienna. Prof. Schmidt has published five books and more than a hundred scientific papers; he is well known for applying deep algebraic ideas in Ergodic Theory.
- Date:
- Speakers:
- Klaus Schmidt
- Affiliation:
- University of Vienna
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Jeff Running
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