Gergely Bod'o

collaborators

4 papers

math.PR2026

Stochastic evolution equations driven by arbitrary cylindrical LÃ©vy processes

Gergely BodÃ³, Sonja Cox, Adam Jakubowski +1

We establish the first existence and uniqueness result for mild solutions of abstract stochastic evolution equations driven by arbitrary cylindrical LÃ©vy processes in Hilbert spac…

math.FA2026

Characterizations of the UMD property via tail estimates for tangent processes

Gergely BodÃ³, Ivan Yaroslavtsev

We characterize the UMD property of a Banach space by tail inequalities for maximal functions of tangent conditionally symmetric processes. More precisely, we prove that a Banach s…

math.PR2024

Stochastic integration with respect to cylindrical LÃ©vy processes in Hilbert spaces

Gergely BodÃ³, Markus Riedle

In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical LÃ©vy processes in Hilbert spaces. Since cylindrical LÃ©vy processes…

math.PR2024

SPDEs driven by standard symmetric $I^\pm$ -stable cylindrical LÃ©vy processes: existence, Lyapunov functionals and ItÃ´ formula

Gergely BodÃ³, OndÅej TÃ½bl, Markus Riedle

We investigate several aspects of solutions to stochastic evolution equations in Hilbert spaces driven by a standard symmetric $I^\pm$ -stable cylindrical noise. Similarly to cylindric…

Stochastic evolution equations driven by arbitrary cylindrical LÃ©vy processes

Characterizations of the UMD property via tail estimates for tangent processes

Stochastic integration with respect to cylindrical LÃ©vy processes in Hilbert spaces

SPDEs driven by standard symmetric I^±-stable cylindrical LÃ©vy processes: existence, Lyapunov functionals and ItÃ´ formula

SPDEs driven by standard symmetric $I^\pm$ -stable cylindrical LÃ©vy processes: existence, Lyapunov functionals and ItÃ´ formula