Optimal replication of random vectors by ordinary integrals
  We consider a problem of replication of random vectors by ordinary integrals in the setting when a underlying random variable is generated by a Wiener process. The goal is to find an optimal adapted process such that its cumulative integral at a fixed terminal time matches this variable. The optimal process has to be minimal in an integral norm. 
Nikolai Dokuchaev
math.OC math.PR