Integer partitions and exclusion statistics: limit shapes and the largest parts of Young diagrams

DOI10.1088/1742-5468/2007/10/P10001zbMath1456.05011arXiv0707.2312OpenAlexW2076574117MaRDI QIDQ5239325

Satya N. Majumdar, Sanjib Sabhapandit, Alain Comtet, Stéphane Ouvry

Publication date: 22 October 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2312

zbMATH Keywords

extreme value problemstopology and combinatoricsfractional states (theory)

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial aspects of representation theory (05E10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Analytic theory of partitions (11P82)

Related Items (4)

Large deviations analysis for random combinatorial partitions with counter terms ⋮ A general asymptotic formula for distinct partitions ⋮ Records and sequences of records from random variables with a linear trend ⋮ Limit shape of minimal difference partitions and fractional statistics

Cites Work

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• ‘‘Fractional statistics’’ in arbitrary dimensions: A generalization of the Pauli principle
• Thermodynamics of a One-Dimensional Ideal Gas with Fractional Exclusion Statistics
• Integer partitions and exclusion statistics

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