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math.DS2016
Stochastic Fixed Points and Nonlinear Perron-Frobenius Theorem
E. Babaei, I. V. Evstigneev, S. A. Pirogov
We provide conditions for the existence of measurable solutions to the equation , where is an automorphism of the probability space and $f(ω,…
math.DS2010★ 1 cited
Linearization and local stability of random dynamical systems
Igor V. Evstigneev, Sergey A. Pirogov, Klaus R. Schenk-Hoppé
The paper examines questions of local asymptotic stability of random dynamical systems. Results concerning stochastic dynamics in general metric spaces, as well as in Banach spaces…