2 citations · 2 across the 3 of their papers we have counts for
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A Kalman filter for linear systems driven by time-space Brownian sheet
Nacira Agram, Bernt Øksendal, Frank Proske +1
We study a linear filtering problem where the signal and observation processes are described as solutions of linear stochastic differential equations driven by time-space Brownian…
Fokker-Planck equation for McKean-Vlasov SPDEs driven by time-space Brownian sheet
Nacira Agram, Bernt Oksendal, Frank Proske +1
In this paper, we consider a McKean-Vlasov (mean-field) stochastic partial differential equations (SPDEs) driven by a Brownian sheet. We study the propagation of chaos for a space-…
Long-time behaviors of some stochastic differential equations driven by Lévy noise
I. Orlovskyi, F. Proske, O. Tymoshenko
Using key tools such as Itô formula for general semi-martingales, moments estimates for Lévy-type stochastic integrals and properties of regular varying functions we find condition…
Stochastic functional differential equations and sensitivity to their initial path
David R. Baños, Giulia Di Nunno, Hannes Haferkorn +1
We consider systems with memory represented by stochastic functional differential equations. Substantially, these are stochastic differential equations with coefficients depending…
On perturbations of an ODE with non-Lipschitz coefficients by a small self-similar noise
Andrey Pilipenko, Frank Norbert Proske
We study the limit behavior of differential equations with non-Lipschitz coefficients that are perturbed by a small self-similar noise. It is proved that the limiting process is eq…