The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk

Details The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk

2009-03-27

arxiv.org/abs/0903.4831v1

Mathematics

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10 pages, 1 figure

Scientific paper

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.

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