Affine Volterra processes with jumps

A Bondi, G Livieri, S Pulido - Stochastic Processes and their Applications, 2024 - Elsevier
The theory of affine processes has been recently extended to continuous stochastic Volterra
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 …

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 …