Visitation Dynamics of $d$-Dimensional Fractional Brownian Motion

Author(s): Léo Régnier, Maxim Dolgushev, and Olivier Bénichou The fractional Brownian motion (fBm) is a paradigmatic strongly non-Markovian process with broad applications in various fields. Despite their importance, the properties of the territory covered by a $d$-dimensional fBm have remained elusive so far. Here, we study the visitation dynamics of the fBm … [Phys. Rev. Lett. 134, 227102] Published Wed Jun 04, 2025