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math.PR2018
Path-dependent Martingale Problems and Additive Functionals
Adrien Barrasso, Francesco Russo
The paper introduces and investigates the natural extension to the path-dependent setup of the usual concept of canonical Markov class introduced by Dynkin and which is at the basi…
math.PR2018
Decoupled mild solutions of path-dependent PDEs and IPDEsrepresented by BSDEs driven by cadlag martingales
Adrien Barrasso, Francesco Russo
We focus on a class of path-dependent problems which include path-dependent (possibly Integro) PDEs, and their representation via BSDEs driven by a cadlag martingale. For those equ…