Regularity of irregularities on a brownian path
Annales de l'Institut Fourier, Tome 24 (1974) no. 2, pp. 195-203.

Sur la trajectoire d’un mouvement brownien, il y a des points où la conduite locale diffère du modèle qui arrive à un point fixé t 0 avec probabilité 1. Cette conférence est une revue des résultats récents qui mesurent l’étendue des irrégularités et montrent que les points exceptionnels arrivent dans une manière très régulière.

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.

@article{AIF_1974__24_2_195_0,
     author = {Taylor, Samuel James},
     title = {Regularity of irregularities on a brownian path},
     journal = {Annales de l'Institut Fourier},
     pages = {195--203},
     publisher = {Institut Fourier},
     volume = {24},
     number = {2},
     year = {1974},
     doi = {10.5802/aif.513},
     zbl = {0262.60059},
     mrnumber = {53 \#14699},
     language = {en},
     url = {archive.numdam.org/item/AIF_1974__24_2_195_0/}
}
Taylor, Samuel James. Regularity of irregularities on a brownian path. Annales de l'Institut Fourier, Tome 24 (1974) no. 2, pp. 195-203. doi : 10.5802/aif.513. http://archive.numdam.org/item/AIF_1974__24_2_195_0/

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