Abelian sandpiles and the harmonic model

DOI10.1007/s00220-009-0884-3zbMath1217.37072arXiv0901.3124OpenAlexW3102684047MaRDI QIDQ533639

Klaus Schmidt, Evgeny Verbitskiy

Publication date: 4 May 2011

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0901.3124

zbMATH Keywords

Haar measureBernoulli measureharmonic modelabelian sandpile model

Mathematics Subject Classification ID

Critical phenomena in equilibrium statistical mechanics (82B27) Topological entropy (37B40) Infinite-dimensional dissipative dynamical systems (37L99)

Related Items

Sandpile monomorphisms and limits ⋮ Discrete systems and abelian sandpiles ⋮ Solvable and algebraic systems on infinite ladder ⋮ Combinatorial independence and sofic entropy ⋮ Homoclinically expansive actions and a garden of Eden theorem for harmonic models ⋮ New directions in algebraic dynamical systems ⋮ Sandpiles on the square lattice ⋮ Algebraic actions of the discrete Heisenberg group: expansiveness and homoclinic points ⋮ Homoclinic groups, IE groups, and expansive algebraic actions ⋮ Harmonic models and spanning forests of residually finite groups ⋮ Sandpile models ⋮ Cut-off for sandpiles on tiling graphs ⋮ Homoclinic points, atoral polynomials, and periodic points of algebraic -actions ⋮ Harmonic models and Bernoullicity

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