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arXiv · 0903.4831

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

N. Enriquez·C. Lucas·F. Simenhaus
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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.

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N. Enriquez, C. Lucas, F. Simenhaus. 2009-03-27. The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk. https://doi.org/10.1214/09-aihp336

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