Random skew plane partitions and the pearcey process

Andrei Okounkov, Nicolai Reshetikhin

Research output: Contribution to journalArticlepeer-review

79 Citations (Scopus)

Abstract

We study random skew 3D partitions weighted by q vol and, specifically, the q → 1 asymptotics of local correlations near various points of the limit shape. We obtain sine-kernel asymptotics for correlations in the bulk of the disordered region, Airy kernel asymptotics near a general point of the frozen boundary, and a Pearcey kernel asymptotics near a cusp of the frozen boundary.

Original languageEnglish
Pages (from-to)571-609
Number of pages39
JournalCommunications in Mathematical Physics
Volume269
Issue number3
DOIs
Publication statusPublished - Feb 2007
Externally publishedYes

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