Tails of the endpoint distribution of directed polymers
نویسندگان
چکیده
منابع مشابه
Tails of the Endpoint Distribution of Directed Polymers
We prove that the random variable T = argmaxt∈R{A2(t) − t}, where A2 is the Airy2 process, has tails which decay like e −ct . 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.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
سال: 2015
ISSN: 0246-0203
DOI: 10.1214/12-aihp525