2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/163443In this paper we apply Clark-Ocone formula to deduce an explicit integral representation for the renormalized self-intersection local time of the $d$% -dimensional fractional Brownian motion with Hurst parameter $H\in (0,1)$. As a consequence, we derive the existence of some exponential moments for this random variable.Probabilitytext