Equivalence of ensembles under inhomogeneous conditioning and its applications to random Young diagrams

DOI10.1007/s10955-013-0841-6zbMath1302.82010arXiv1103.5823OpenAlexW1971874328MaRDI QIDQ2016537

Tadahisa Funaki

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5823

zbMATH Keywords

Young diagramlocal limit theoremlocal equilibriumVershik curveequivalence of ensembles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Quantum equilibrium statistical mechanics (general) (82B10)

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Ground states of the 2D sticky disc model: fine properties and \(N^{3/4}\) law for the deviation from the asymptotic Wulff shape

Cites Work

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• Statistical mechanics of combinatorial partitions, and their limit shapes
• Canonical Gibbs measures. Some extensions of de Finetti's representation theorem for interacting particle systems
• Fluctuations in an evolutional model of two-dimensional Young diagrams
• Limit shapes of Young diagrams. Two elementary approaches
• Random Young diagrams in a Rectangular Box
• Hydrodynamic limit for an evolutional model of two-dimensional Young diagrams

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