Limit Shapes for Gibbs Ensembles of Partitions

Ibrahim Fatkullin*, Valeriy Slastikov

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
133 Downloads (Pure)

Abstract

We explicitly compute limit shapes for several grand canonical Gibbs ensembles of partitions of integers. These ensembles appear in models of aggregation and are also related to invariant measures of zero range and coagulation-fragmentation processes. We show, that all possible limit shapes for these ensembles fall into several distinct classes determined by the asymptotics of the internal energies of aggregates.

Original languageEnglish
Pages (from-to)1545-1563
Number of pages19
JournalJournal of Statistical Physics
Volume172
Issue number5
Early online date13 Jul 2018
DOIs
Publication statusPublished - Sep 2018

Keywords

  • Aggregation
  • Limit shapes
  • Partitions of integers
  • Zero range processes

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