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math.PR2017★ 1 cited
Abstract Cauchy Problems in separable Banach Spaces driven by random Measures: Existence and Uniqueness
Alexander Nerlich
The purpose of this paper is to study stochastic evolution inclusions of the form \begin{align*} η(t,z) N_Θ(dt \otimes z)\in dX(t)+\mathcal{A} X(t)dt, \end{align*} where $\mathcal{…
math.PR2017★ 1 cited
Abstract Cauchy Problems in separable Banach Spaces driven by random Measures: Asymptotic Results in the finite extinction Case
Alexander Nerlich
The aim of this paper is to prove the strong law of large numbers (SLLN) as well as the central limit theorem (CLT) for a class of vector-valued stochastic processes which arise as…