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arXiv : math.PR/0503596

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A Local limit theorem for directed polymers in random media: the continuous and the discrete case.

Vincent Vargas 1

(25/03/2005)

In this article, we consider two models of directed polymers in random environment: a discrete model and a continuous model. We consider these models in dimension greater or equal to 3 and we suppose that the normalized partition function is bounded in L^2. Under these assumptions, Sinai proved a local limit theorem for the discrete model, using a perturbation expansion. In this article, we give a new method for proving Sinai's local limit theorem. This new method can be transposed to the continuous setting in which we prove a similar local limit theorem.

1 :	Laboratoire de Probabilités et Modèles Aléatoires (LPMA)
	CNRS : UMR7599 – Université Paris VI - Pierre et Marie Curie – Université Paris VII - Paris Diderot

Domaine

:

Mathématiques/Probabilités

Mots Clés : Directed polymers in random environment: Local limit theorem

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Contributeur : Vincent Vargas <>

Soumis le : Vendredi 25 Mars 2005, 13:42:09

Dernière modification le : Vendredi 25 Mars 2005, 14:12:06