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math.PR2016★ 1 cited
Global solutions to the stochastic Volterra Equation driven by Lévy noise
Mihály Kovács, Erika Hausenblas
In this article we investigate the existence and uniqueness of the stochastic Volterra equation driven by a \levy noise of pure jump type. In particular, we consider the following…
math.NA2016★ 9 cited
Numerical approximation of stochastic evolution equations: Convergence in scale of Hilbert spaces
Hakima Bessaih, Erika Hausenblas, Tsiry Randrianasolo +1
The present paper is devoted to the numerical approximation of an abstract stochastic nonlinear evolution equation in a separable Hilbert space {}. Examples of equation…
math.PR2016
Ergodicity of stochastic shell models driven by pure jump noise
Hakima Bessaih, Erika Hausenblas, Paul A. Razafimandimby
In the present paper we study a stochastic evolution equation for shell (SABRA \& GOY) models with pure jump \levy noise on a Hilbert space $\h$. He…