Published February 2011
| public
Journal Article
Limits of determinantal processes near a tacnode
- Creators
- Borodin, Alexei
- Duits, Maurice
Chicago
Abstract
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.
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.Additional details
- Eprint ID
- 22546
- DOI
- 10.1214/10-AIHP373
- Resolver ID
- CaltechAUTHORS:20110228-110044143
- NSF
- DMS-07-070163
- Created
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2011-03-03Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field