Limit shapes of Gibbs distributions on the set of integer partitions: The expansive case

DOI10.1214/07-AIHP129zbMath1181.60146MaRDI QIDQ731707

Michael M. Erlihson, Boris L. Granovsky

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/77997

zbMATH Keywords

central limit theoremlimit theoremsYoung diagramscombinatorial probabilitylimit shapesgelationcoagulation-fragmentation processesMaxwell-Boltzmann modelsmultiplicative probability measuresrandom integer partitions

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial aspects of partitions of integers (05A17) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Quantum equilibrium statistical mechanics (general) (82B10) Probabilistic measure theory (60A10)

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