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math.PR2022★ 1 cited
Path-dependent SDEs with jumps and irregular drift: well-posedness and Dirichlet properties
Elena Bandini, Francesco Russo
We discuss a concept of path-dependent SDE with distributional drift with possible jumps. We interpret it via a suitable martingale problem, for which we provide existence and uniq…
math.PR2022
Weak Dirichlet processes and generalized martingale problems
Elena Bandini, Francesco Russo
In this paper we explain how the notion of ''weak Dirichlet process'' is the suitable generalization of the one of semimartingale with jumps. For such a process we provide a unique…