Nonergodic quadratic stochastic operators

DOI10.1134/S0001434619070162OpenAlexW2971306663WikidataQ127313402 ScholiaQ127313402MaRDI QIDQ2282845

Yanyan Li

Publication date: 20 December 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434619070162

zbMATH Keywords

ergodicitycubic stochastic matrixquadratic stochastic non-Volterra operator

Mathematics Subject Classification ID

Nonlinear operators and their properties (47Hxx)

Related Items (6)

Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ Historic behavior in discrete-time replicator dynamics ⋮ Stable and historic behavior in replicator equations generated by similar-order preserving mappings ⋮ Historic behavior in rock-paper-scissor dynamics ⋮ Historic behavior in nonautonomous rock-paper-scissors dynamics ⋮ Uniformly historic behaviour in compact dynamical systems

Cites Work

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• On the surjectivity of quadratic stochastic operators acting on the simplex
• On regularity of diagonally positive quadratic doubly stochastic operators
• A class of nonergodic Lotka-Volterra operators
• Dichotomy of iterated means for nonlinear operators
• On regularity of positive quadratic doubly stochastic operators
• On divergence of any order Cesàro mean of Lotka-Volterra operators
• Ergodicity of nonlinear Markov operators on the finite dimensional space
• ON THE BEHAVIOUR OF TRAJECTORIES AND THE ERGODIC HYPOTHESIS FOR QUADRATIC MAPPINGS OF A SIMPLEX
• On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex

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