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Limits of determinantal processes near a tacnode
CALTECH, Dept Math, Pasadena.ORCID iD: 0000-0002-7598-4521
2011 (English)In: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, ISSN 0246-0203, Vol. 47, no 1, 243-258 p.Article in journal (Refereed) Published
Abstract [en]

We study a Markov process on a system of interlacing particles. At large times the particles fill a domain that depends on a parameter epsilon > 0. The domain has two cusps, one pointing up and one pointing down. In the limit epsilon down arrow 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 epsilon down arrow 0. We also prove that the local process interpolates between the Pearcey process and the GUE minor process.

Place, publisher, year, edition, pages
2011. Vol. 47, no 1, 243-258 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-93353DOI: 10.1214/10-AIHP373ISI: 000286788800012OAI: oai:DiVA.org:kth-93353DiVA: diva2:515714
Note
QC 20120627Available from: 2012-04-14 Created: 2012-04-14 Last updated: 2012-06-27Bibliographically approved

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Publisher's full texthttp://dx.doi.org/10.1214/10-AIHP373

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Duits, Maurice

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