60 citations · 317 across the 50 of their papers we have counts for
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A Stochastic Gronwall Lemma and Well-Posedness of Path-Dependent SDEs Driven by Martingale Noise
Sima Mehri, Michael Scheutzow
We show existence and uniqueness of solutions of stochastic path-dependent differential equations driven by cadlag martingale noise under joint local monotonicity and coercivity as…
A prey-predator model with three interacting species
Uygun Jamilov, Michael Scheutzow, Isabell Vorkastner
In this paper we consider a class of discrete time prey-predator models with three interacting species defined on the two-dimensional simplex. For some choices of parameters of the…
Couplings via comparison principle and exponential ergodicity of SPDEs in the hypoelliptic setting
Oleg Butkovsky, Michael Scheutzow
We develop a general framework for studying ergodicity of order-preserving Markov semigroups. We establish natural and in a certain sense optimal conditions for existence and uniqu…
A dynamical theory for singular stochastic delay differential equations I: Linear equations and a Multiplicative Ergodic Theorem on fields of Banach spaces
Mazyar Ghani Varzaneh, Sebastian Riedel, Michael Scheutzow
We show that singular stochastic delay differential equations (SDDEs) induce cocycle maps on a field of Banach spaces. A general Multiplicative Ergodic Theorem on fields of Banach…