Superdiffusivity for a Brownian polymer in a continuous Gaussian environment Sergio Bezerra Samy Tindel

Sergio Bezerra

Description

Niveau: Supérieur

• dissertation

Superdiffusivity for a Brownian polymer in a continuous Gaussian environment Sergio Bezerra ? Samy Tindel Institut Elie Cartan, Universite de Nancy 1 BP 239, 54506-Vandoeuvre-les-Nancy, France [bezerra,tindel]@iecn.u-nancy.fr Frederi Viens † Dept. Statistics & Dept. Mathematics, Purdue University 150 N. University St., West Lafayette, IN 47907-2067, USA March 1, 2007 Abstract This paper provides information about the asymptotic behavior of a one-dimen- sional Brownian polymer in random medium represented by a Gaussian field W on R+ ? R assumed to be white noise in time and function-valued in space. According to the behavior of the spatial covariance of W , we give a lower bound on the power growth (wandering exponent) of the polymer when the time parameter goes to infinity: the polymer is proved to be superdiffusive, with a wandering exponent exceeding any ? < 3/5. Key words and phrases: Polymer model, Random medium, Gaussian field, Free energy, Wandering exponent. MSC: 82D60, 60K37, 60G15. ?This author's research partially supported by CAPES. †This author's research partially supported by NSF grant no. : 0204999. 1

• wiener measure


• covariance function


• random environment


• gaussian field


• exponent ?


• any fixed


• fixed path


• dgxt


• potential

Sujets

• Dissertation
• Bezerra
• Purdue University
• Cartan
• Wiener process
• Covariance function
• Gaussian field

Informations

• Publié par: profil-nechor-2012
• Nombre de lectures: 11
• Langue: English

Extrait

Superdiusivity for a Brownian polymer in Gaussian environment

S io Bezerra  Samy Tindel erg InstitutElieCartan,UniversitedeNancy1 BP239,54506-Vandoeuvre-les-Nancy,France [bezerra,tindel]@iecn.u-nancy.fr

a

Frederi Viens † Dept. Statistics & Dept. Mathematics, Purdue University 150 N. University St., West Lafayette, IN 47907-2067, USA [e-mail]

March 1, 2007

Abstract

continuous

This paper provides information about the asymptotic behavior of a one-dimen- sional Brownian polymer in random medium represented by a Gaussian eldWon R + Rassumed to be white noise in time and function-valued in space. According to the behavior of the spatial covariance ofW, we give a lower bound on the power growth (wandering exponent) of the polymer when the time parameter goes to innity: the polymer is proved to be superdiusive, with a wandering exponent exceeding any  <3/5.

Key words and phrases:Polymer model, Random medium, Gaussian eld, Free energy, Wandering exponent.

MSC:82D60, 60K37, 60G15.  This author’s research partially supported by CAPES. †  : 0204999.This author’s research partially supported by NSF grant no.

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