We identify the limit of the internal DLA cluster generated by Sinai’s walk as the law of a functional of a Brownian motion which turns out to be a new interpretation of the Arcsine law.
Publié le : 2010-11-15
Classification:
Sinai’s walk,
Internal DLA,
Random walks in random environments,
Excursion theory,
60K37,
60F05
@article{1288878334,
author = {Enriquez, N. and Lucas, C. and Simenhaus, F.},
title = {The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk},
journal = {Ann. Inst. H. Poincar\'e Probab. Statist.},
volume = {46},
number = {1},
year = {2010},
pages = { 991-1000},
language = {en},
url = {http://dml.mathdoc.fr/item/1288878334}
}
Enriquez, N.; Lucas, C.; Simenhaus, F. The Arcsine law as the limit of the internal DLA cluster generated by Sinai’s walk. Ann. Inst. H. Poincaré Probab. Statist., Tome 46 (2010) no. 1, pp. 991-1000. http://gdmltest.u-ga.fr/item/1288878334/