The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk
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🧮 math.PR
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arcsineclustergeneratedinternallimitsinaiwalkbrownian
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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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