Poisson-Dirichlet statistics for the extremes of the two-dimensional discrete Gaussian free field

DOI10.1214/EJP.v20-3077zbMath1321.60107arXiv1310.2159OpenAlexW1621338377MaRDI QIDQ2515926

Louis-Pierre Arguin, Olivier Zindy

Publication date: 7 August 2015

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

Full work available at URL: https://arxiv.org/abs/1310.2159

zbMATH Keywords

spin glassesGibbs measureGaussian free fieldextremesPoisson-Dirichlet variable

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Central limit and other weak theorems (60F05) Extreme value theory; extremal stochastic processes (60G70) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26)

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