Affine Volterra processes with jumps
The theory of affine processes has been recently extended to continuous stochastic Volterra
equations. These so-called affine Volterra processes overcome modeling shortcomings of …
equations. These so-called affine Volterra processes overcome modeling shortcomings of …
Path-dependent SDEs in Hilbert spaces
M Rosestolato - Frontiers in Stochastic Analysis–BSDEs, SPDEs and …, 2019 - Springer
We study path-dependent SDEs in Hilbert spaces. By using methods based on contractions
in Banach spaces, we prove the Gâteaux differentiability of generic order n of mild solutions …
in Banach spaces, we prove the Gâteaux differentiability of generic order n of mild solutions …
A stochastic Fubini theorem for α-stable process
H Zhao, S Xu - Statistics & Probability Letters, 2020 - Elsevier
In this paper, we give an elementary proof of a stochastic Fubini theorem, which says that
one can interchange a Lebesgue integral and a stochastic integral with respect to an α …
one can interchange a Lebesgue integral and a stochastic integral with respect to an α …