The infinite volume limit of dissipative abelian sandpiles

DOI10.1007/s00220-003-1000-8zbMath1075.82013OpenAlexW2119689548MaRDI QIDQ1418333

Christian Maes, Frank Redig, Ellen Saada

Publication date: 19 January 2004

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

Full work available at URL: https://research.tue.nl/nl/publications/9368427e-6a04-4675-940e-f660f9b28d25

zbMATH Keywords

dissipative toppling matrixinfinite volume ergodic markov processthermodynamic stationary-measure limit

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

Related Items (7)

Conformal covariance of the Abelian sandpile height one field ⋮ Sandpiles on the square lattice ⋮ Infinite volume limit of the abelian sandpile model in dimensions \(d \geq 3\) ⋮ Abelian sandpiles and the harmonic model ⋮ Sandpile models ⋮ Approaching criticality via the zero dissipation limit in the abelian avalanche model ⋮ Infinite volume limit for the stationary distribution of Abelian sandpile models

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