A Caltech Library Service

Limits of determinantal processes near a tacnode

Borodin, Alexei and Duits, Maurice (2011) Limits of determinantal processes near a tacnode. Annales De l'Institut Henri Poincaré - Probabilitiés et Statistiques, 47 (1). pp. 243-258. ISSN 0246-0203.

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item:


We study a Markov process on a system of interlacing particles. At large times the particles fill a domain that depends on a parameter ε > 0. The domain has two cusps, one pointing up and one pointing down. In the limit ε ↓ 0 the cusps touch, thus forming a tacnode. The main result of the paper is a derivation of the local correlation kernel around the tacnode in the transition regime ε ↓ 0. We also prove that the local process interpolates between the Pearcey process and the GUE minor process.

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:© 2011 Association des Publications de l’Institut Henri Poincaré. Received 5 December 2009; revised 15 April 2010; accepted 26 April 2010. Supported in part by NSF Grant DMS-07-070163.
Funding AgencyGrant Number
Subject Keywords:Determinantal point processes; Random growth; GUE minor process; Pearcey process
Issue or Number:1
Classification Code:MSC: 82C22; 60K35; 60G55
Record Number:CaltechAUTHORS:20110228-110044143
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:22546
Deposited By: Tony Diaz
Deposited On:03 Mar 2011 19:31
Last Modified:03 Oct 2019 02:38

Repository Staff Only: item control page