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Regularity of irregularities on a brownian path

Samuel James Taylor — 1974

Annales de l'institut Fourier

On a standard Brownian motion path there are points where the local behaviour is different from the pattern which occurs at a fixed t 0 with probability 1. This paper is a survey of recent results which quantity the extent of the irregularities and show that the exceptional points themselves occur in an extremely regular manner.

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