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Limits of determinantal processes near a tacnode
CALTECH, Dept Math, Pasadena.ORCID-id: 0000-0002-7598-4521
2011 (engelsk)Inngår i: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, ISSN 0246-0203, Vol. 47, nr 1, s. 243-258Artikkel i tidsskrift (Fagfellevurdert) 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.

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2011. Vol. 47, nr 1, s. 243-258
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URN: urn:nbn:se:kth:diva-93353DOI: 10.1214/10-AIHP373ISI: 000286788800012OAI: oai:DiVA.org:kth-93353DiVA, id: diva2:515714
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QC 20120627Tilgjengelig fra: 2012-04-14 Laget: 2012-04-14 Sist oppdatert: 2022-06-24bibliografisk kontrollert

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Duits, Maurice

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