Minimal configurations and sandpile measures

DOI10.1007/s10959-012-0446-zzbMath1307.60143arXiv1110.4523OpenAlexW1968966556MaRDI QIDQ457097

Antal A. Járai, Nicolás Werning

Publication date: 26 September 2014

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.4523

zbMATH Keywords

determinantal processAbelian sandpilefinite connected multigraphminimal configurationsandpile measureuniform spanning tree

Mathematics Subject Classification ID

Trees (05C05) Random graphs (graph-theoretic aspects) (05C80) 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 (11)

Indistinguishability of trees in uniform spanning forests ⋮ The Sandpile Cellular Automaton ⋮ Non-criticality criteria for Abelian sandpile models with sources and sinks ⋮ Mean-field avalanche size exponent for sandpiles on Galton-Watson trees ⋮ Asymptotic height distribution in high-dimensional sandpiles ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ Interlacements and the wired uniform spanning forest ⋮ Learning about critical phenomena from scribbles and sandpiles ⋮ Sandpile models ⋮ Universality of high-dimensional spanning forests and sandpiles ⋮ Transfer current and pattern fields in spanning trees

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