Conformal covariance of the Abelian sandpile height one field

DOI10.1016/j.spa.2009.02.002zbMath1181.60145OpenAlexW2065916897MaRDI QIDQ841477

Maximilian Duerre

Publication date: 17 September 2009

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2009.02.002

zbMATH Keywords

conformal covariancescaling limitdeterminantal processAbelian sandpile model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Properties of the gradient squared of the discrete Gaussian free field ⋮ Minimal configurations and sandpile measures ⋮ Strongly correlated random interacting processes. Abstracts from the workshop held January 28 -- February 3, 2018 ⋮ Multipoint correlators in the Abelian sandpile model ⋮ Learning about critical phenomena from scribbles and sandpiles ⋮ Sandpile models ⋮ Transfer current and pattern fields in spanning trees

Cites Work

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• Pair correlations in sandpile model: a check of logarithmic conformal field theory
• Potential kernel for two-dimensional random walk
• The infinite volume limit of dissipative abelian sandpiles
• Conformal invariance of domino tiling.
• Infinite volume limit for the stationary distribution of Abelian sandpile models
• Self-organized criticality
• Coherent states for the hydrogen atom

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