Integral representation of renormalized self-intersection local times
  In 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. 
Yaozhong Hu, David Nualart, Jian Song