Limit Shapes for Gibbs Partitions of Sets

This study extends a prior investigation of limit shapes for grand canonical Gibbs ensembles of partitions of integers, which was based on analysis of sums of geometric random variables. Here we compute limit shapes for partitions of sets, which lead to the sums of Poisson random variables. Under mi...

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Veröffentlicht in:	Journal of statistical physics 2021-05, Vol.183 (2), Article 22
Hauptverfasser:	Fatkullin, Ibrahim, Xue, Jianfei
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic properties Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Random variables Statistical Physics and Dynamical Systems Step functions Sums Theoretical
Online-Zugang:	Volltext
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