Tails of the endpoint distribution of directed polymers
Author
dc.contributor.author
Quastel, Jeremy
Author
dc.contributor.author
Remenik Zisis, Daniel
Admission date
dc.date.accessioned
2015-08-05T18:24:56Z
Available date
dc.date.available
2015-08-05T18:24:56Z
Publication date
dc.date.issued
2015
Cita de ítem
dc.identifier.citation
Annales de l’Institut Henri Poincaré - Probabilités et Statistiques
2015, Vol. 51, No. 1, 1–17
en_US
Identifier
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0246-0203
Identifier
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DOI: 10.1214/12-AIHP525
Identifier
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https://repositorio.uchile.cl/handle/2250/132425
General note
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Artículo de publicación ISI
en_US
Abstract
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We prove that the random variable T = argmaxt∈R{A2(t)−t2}, where A2 is the Airy2 process, has tails which decay
like e−ct3 . The distribution of T is a universal distribution which governs the rescaled endpoint of directed polymers in 1 + 1
dimensions for large time or temperature.
en_US
Patrocinador
dc.description.sponsorship
Natural Science and Engineering Research Council of Canada
Fields-Ontario Postdoctoral Fellowship