paper

Density estimates for the exponential functionals of fractional Brownian motion

arXiv:2109.10491

Abstract

In this note, we investigate the density of the exponential functional of the fractional Brownian motion. Based on the techniques of Malliavin's calculus, we provide a log-normal upper bound for the density.

9 pages,to appear in Comptes Rendus Mathematique

Density estimates for the exponential functionals of fractional Brownian motion · wovepaper