A limit theorem for stochastically decaying partitions at the edge

In Jee Jeong, Sasha Sodin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We provide a combinational proof of the fact that the sequence of rows of certain stochastically decaying partitions, after appropriate scaling in time and length, converges to the Airy line ensemble. Our argument is based on a modification of the moment method, and it highlights the similarity between random partitions and random matrices.

Original languageEnglish
Article number1650016
JournalRandom Matrices: Theory and Application
Volume5
Issue number4
DOIs
StatePublished - 1 Oct 2016

Funding

FundersFunder number
Horizon 2020 Framework Programme639305
European Research Council

    Keywords

    • Airy line ensemble
    • modified moment method
    • random partitions

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