Rough stochastic analysis with jumps
Abstract
We present a new version of the stochastic sewing lemma, capable of handling multiple discontinuous control functions. This is then used to develop a theory of rough stochastic analysis in a càdlàg setting. In particular, we define rough stochastic integration and establish solutions to rough stochastic differential equations with jump discontinuities in both sources of noise, along with an Itô formula for stochastic controlled paths with jumps.
Fields of Study & Subjects
Rough Sets and Fuzzy Logic
Publication details
- Journal / source
- Electronic Journal of Probability
- Volume
- 31
- Issue
- none
- Publication date
- 1 January 2026
- Language
- EN