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 Xt (corresponding to the location of the end of the polymer at time t) for a particular type of repelling interaction function without compact support.
Publié le : 2008-02-15
Classification:
Self-interacting diffusions,
Repulsive interaction,
Superdiffusive process,
Almost sure law of large numbers,
60F15,
60K35
@article{1203969867,
author = {Mountford, Thomas and Tarr\`es, Pierre},
title = {An asymptotic result for Brownian polymers},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {44},
number = {2},
year = {2008},
pages = { 29-46},
language = {en},
url = {http://dml.mathdoc.fr/item/1203969867}
}
Mountford, Thomas; Tarrès, Pierre. An asymptotic result for Brownian polymers. Ann. Inst. H. Poincaré Probab. Statist., Tome 44 (2008) no. 2, pp. 29-46. http://gdmltest.u-ga.fr/item/1203969867/