25 citations · 26 across the 5 of their papers we have counts for
5 papers
Besov-Orlicz path regularity of non-Gaussian processes
Petr Čoupek, Martin Ondreját
In the article, Besov-Orlicz regularity of sample paths of stochastic processes that are represented by multiple integrals of order is treated. We give sufficient…
Stochastic integration with respect to fractional processes in Banach spaces
Petr Čoupek, Bohdan Maslowski, Martin Ondreját
In the article, integration of temporal functions in (possibly non-UMD) Banach spaces with respect to (possibly non-Gaussian) fractional processes from a finite sum of Wiener chaos…
Large Deviations for -dimensional Stochastic Geometric Wave Equation
Zdzisław Brzeźniak, Ben Goldys, Martin Ondreját +1
We consider stochastic wave map equation on real line with solutions taking values in a -dimensional compact Riemannian manifold. We show first that this equation has unique, gl…
-valued stochastic convolution integral driven by Volterra noise
Petr Čoupek, Bohdan Maslowski, Martin Ondreját
Space-time regularity of linear stochastic partial differential equations is studied. The solution is defined in the mild sense in the state space . The corresponding regulari…
Stochastic geometric wave equations with values in compact Riemannian homogeneous spaces
Zdzisław Brzeźniak, Martin Ondreját
Let be a compact Riemannian homogeneous space (e.g. a Euclidean sphere). We prove existence of a global weak solution of the stochastic wave equation \mathbf D_t\partial_tu=\su…