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5 papers · 1 filter
Continuation and collapse of homoclinic tangles
Wolf-Juergen Beyn, Thorsten Huels
By a classical theorem transversal homoclinic points of maps lead to shift dynamics on a maximal invariant set, also referred to as a homoclinic tangle. In this paper we study the…
Random attractors for singular stochastic partial differential equations
Benjamin Gess
The existence of random attractors for singular stochastic partial differential equations (SPDE) perturbed by general additive noise is proven. The drift is assumed only to satisfy…
Stochastic quasi-geostrophic equation
Michael Röckner, Rongchan Zhu, Xiangchan Zhu
In this note we study the 2d stochastic quasi-geostrophic equation in for general parameter and multiplicative noise. We prove the existence of martinga…
Nash equilibrium payoffs for stochastic differential games with jumps and coupled nonlinear cost functionals
Qian Lin
In this paper we investigate Nash equilibrium payoffs for two-player nonzero-sum stochastic differential games whose cost functionals are defined by a system of coupled backward st…
Berry-Esseen bounds in the entropic central limit theorem
Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze
Berry-Esseen-type bounds for total variation and relative entropy distances to the normal law are established for the sums of non-i.i.d. random variables.