# Remark on pathwise uniqueness of solutions to stochastic differential equations driven by Lévy processes

## Probabilités et Statistique

Lieu:
Salle séminaire M3-324
Orateur:
Atsushi Takeuchi
Affiliation:
University of Osaka City
Dates:
Mercredi, 18 Avril, 2018 - 10:30 - 11:30
Résumé:
Consider a stochastic differential equation driven by Lévy processes.
The jump part of the driving process is not always $\alpha$-stable ones,
nor symmetric ones. In this talk, the pathwise uniqueness of the solution
to the stochastic differential equation will be studied under the conditions
on the coefficients that the diffusion and the jump terms are Hölder
continuous, while the drift one is monotone. This is the joint work with Dr.