Publication
Abelian Sandpiles and the Harmonic Model
Schmidt, K. & Verbitskiy, E., Dec-2009, In : Communications in Mathematical Physics. 292, 3, p. 721-759 39 p.Research output: Contribution to journal › Article › Academic › peer-review
We present a construction of an entropy-preserving equivariant surjective map from the d-dimensional critical sandpile model to a certain closed, shift-invariant subgroup of T(Zd) (the 'harmonicmodel'). A similar map is constructed for the dissipative abelian sandpile model and is used to prove uniqueness and the Bernoulli property of the measure of maximal entropy for that model.
| Original language | English |
|---|---|
| Pages (from-to) | 721-759 |
| Number of pages | 39 |
| Journal | Communications in Mathematical Physics |
| Volume | 292 |
| Issue number | 3 |
| Publication status | Published - Dec-2009 |
- SELF-ORGANIZED CRITICALITY, INFINITE VOLUME LIMIT, ENTROPY, AUTOMORPHISMS
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