Translator Disclaimer
2016 The Cusp-Airy process
Erik Duse, Kurt Johansson, Anthony Metcalfe
Electron. J. Probab. 21: 1-50 (2016). DOI: 10.1214/16-EJP2

Abstract

At a typical cusp point of the disordered region in a random tiling model we expect to see a determinantal process called the Pearcey process in the appropriate scaling limit. However, in certain situations another limiting point process appears that we call the Cusp-Airy process, which is a kind of two sided extension of the Airy kernel point process. We will study this problem in a class of random lozenge tiling models coming from interlacing particle systems. The situation was briefly studied previously by Okounkov and Reshetikhin under the name cuspidal turning point but their formula is not completely correct.

Citation

Download Citation

Erik Duse. Kurt Johansson. Anthony Metcalfe. "The Cusp-Airy process." Electron. J. Probab. 21 1 - 50, 2016. https://doi.org/10.1214/16-EJP2

Information

Received: 1 February 2016; Accepted: 7 July 2016; Published: 2016
First available in Project Euclid: 9 September 2016

zbMATH: 1348.60008
MathSciNet: MR3546394
Digital Object Identifier: 10.1214/16-EJP2

Subjects:
Primary: 60B20

JOURNAL ARTICLE
50 PAGES


SHARE
Vol.21 • 2016
Back to Top