A note on limit shapes of minimal difference partitions
Alain Comtet, Satya N. Majumdar, and Sanjib Sabhapandit
TL;DR
This paper derives the limit shape of minimal difference partitions using a variational approach and explores its connection with exclusion statistics, contributing to the understanding of partition asymptotics.
Contribution
It introduces a variational derivation of the limit shape for minimal difference partitions and links it to exclusion statistics, offering new analytical insights.
Findings
Derived the limit shape using variational methods
Established a connection with exclusion statistics
Provided analytical framework for partition asymptotics
Abstract
We provide a variational derivation of the limit shape of minimal difference partitions and discuss the link with exclusion statistics. Also see arXiv:0707.2312 for a related paper.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Advanced Combinatorial Mathematics · Mathematical Dynamics and Fractals