Exact integration of height probabilities in the Abelian Sandpile model

DOI10.1088/1742-5468/2012/09/P09013zbMath1456.82100arXiv1207.6074MaRDI QIDQ3301382

Andrea Sportiello, Sergio Caracciolo

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6074

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (6)

Fundamental constants in the theory of two-dimensional uniform spanning trees ⋮ Universality conjectures for activated random walk ⋮ Sandpile probabilities on triangular and hexagonal lattices ⋮ Laplacian growth, sandpiles, and scaling limits ⋮ Multipoint correlators in the Abelian sandpile model ⋮ Sandpile models

Cites Work

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• Coordinate space methods for the evaluation of Feynman diagrams in lattice field theories
• Renormalization flow for unrooted forests on a triangular lattice
• Pre-logarithmic and logarithmic fields in a sandpile model
• Logarithmic two-point correlators in the Abelian sandpile model
• How to Get a Perfectly Random Sample from a Generic Markov Chain and Generate a Random Spanning Tree of a Directed Graph
• Boundary height fields in the Abelian sandpile model

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