An asymptotic result for Brownian polymers

Details An asymptotic result for Brownian polymers An asymptotic result for Brownian polymers

2008-04-09

arxiv.org/abs/0804.1431v1

Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiques 2008, Vol. 44, No. 1, 29-46

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/07-AIHP113 the Annales de l'Institut Henri Poincar\'e - Probabilit\'es et Statistiqu

Scientific paper

10.1214/07-AIHP113

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
$X_t$ (corresponding to the location of the end of the polymer at time $t$) for
a particular type of repelling interaction function without compact support.

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