A limit theorem for stochastically decaying partitions at the edge

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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
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Keywords

  • Airy line ensemble
  • modified moment method
  • random partitions

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