Abelian Sandpiles and the Harmonic ModelSchmidt, 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.
|Number of pages||39|
|Journal||Communications in Mathematical Physics|
|Publication status||Published - Dec-2009|
- SELF-ORGANIZED CRITICALITY, INFINITE VOLUME LIMIT, ENTROPY, AUTOMORPHISMS