Tails of the endpoint distribution of directed polymers
Tails-of-the-endpoint-distribution-of-directed-polymers.pdf (282.7Kb)Abstract
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.
General note
Artículo de publicación ISI
Patrocinador
Natural Science and Engineering Research Council of Canada
Fields-Ontario Postdoctoral Fellowship
Identifier
URI: https://repositorio.uchile.cl/handle/2250/132425
DOI: DOI: 10.1214/12-AIHP525
ISSN: 0246-0203
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Annales de l’Institut Henri Poincaré - Probabilités et Statistiques
2015, Vol. 51, No. 1, 1–17
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