Ergodicities of infinite dimensional nonlinear stochastic operators

DOI10.1007/s12346-020-00415-zOpenAlexW3049277850MaRDI QIDQ2006995

Farrukh Mukhamedov, Ahmad Fadillah Embong, Otabek Khakimov

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00415-z

zbMATH Keywords

pointwise convergencestochastic operatorergodicinfinite dimensional

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Random operators and equations (aspects of stochastic analysis) (60H25) Nonlinear ergodic theorems (47H25)

Related Items (3)

Dynamical system of a quadratic stochastic operator with two discontinuity points ⋮ Quadratic non-stochastic operators: examples of splitted chaos ⋮ Compatible linear Lyapunov function for infinite dimensional Volterra quadratic stochastic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Non-ergodicity of uniform quadratic stochastic operators
• Quadratic stochastic operators corresponding to graphs
• Quantum quadratic operators and processes
• A class of nonergodic Lotka-Volterra operators
• Evolutionary dynamics of zero-sum games
• On surjective second order non-linear Markov operators and associated nonlinear integral equations
• Stability and monotonicity of Lotka-Volterra type operators
• Quadratic stochastic operators on Banach lattices
• Chaos of discrete dynamical systems in complete metric spaces
• Asymptotic properties of quadratic stochastic operators acting on the \(L^1\) space
• On non-ergodic Volterra cubic stochastic operators
• Stationary probability vectors of higher-order Markov chains
• On infinite dimensional quadratic Volterra operators
• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS
• Evolution of a large population under gene conversion.
• ON THE BEHAVIOUR OF TRAJECTORIES AND THE ERGODIC HYPOTHESIS FOR QUADRATIC MAPPINGS OF A SIMPLEX
• QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS
• Evolutionary Games and Population Dynamics
• On stable b-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains
• A Lotka-Volterra Three-Species Food Chain
• On non-linear Markov operators: surjectivity vs orthogonal preserving property
• Tensor Analysis
• On the limiting probability distribution of a transition probability tensor
• A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS

This page was built for publication: Ergodicities of infinite dimensional nonlinear stochastic operators