An asymptotic result for Brownian polymers
Probability
2008-12-18 v1
Abstract
We consider a model of the shape of a growing polymer introduced by Durrett and Rogers (Probab. Theory Related Fields 92 (1992) 337--349). We prove their conjecture about the asymptotic behavior of the underlying continuous process (corresponding to the location of the end of the polymer at time ) for a particular type of repelling interaction function without compact support.
Keywords
Cite
@article{arxiv.0804.1431,
title = {An asymptotic result for Brownian polymers},
author = {Thomas Mountford and Pierre Tarrès},
journal= {arXiv preprint arXiv:0804.1431},
year = {2008}
}
Comments
Published in at http://dx.doi.org/10.1214/07-AIHP113 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques (http://www.imstat.org/aihp/) by the Institute of Mathematical Statistics (http://www.imstat.org)