The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk
arXiv:0903.4831 · doi:10.1214/09-AIHP336
Abstract
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.
10 pages, 1 figure