Markovian loop clusters

DOI10.1016/j.crma.2012.07.008zbMath1262.60095OpenAlexW2032044823MaRDI QIDQ456617

Yves Le Jan

Publication date: 16 October 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.07.008

zbMATH Keywords

potential theorypercolationweighted graphrandom treescoalescing Markovian processfragmentation processPoissonian loop ensemble

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Continuous-time Markov processes on general state spaces (60J25) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (4)

Phase transition in loop percolation ⋮ Percolation and isoperimetry on roughly transitive graphs ⋮ Equality of critical parameters for percolation of Gaussian free field level sets ⋮ Markovian loop clusters on graphs

Cites Work

• The Brownian loop soup
• Conformal loop ensembles: the Markovian characterization and the loop-soup construction
• Two coalescents derived from the ranges of stable subordinators

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