Non-ergodicity of uniform quadratic stochastic operators

DOI10.1007/s12346-015-0145-0zbMath1344.37093OpenAlexW601238782MaRDI QIDQ290313

Uygun Jamilov, Manuel Ladra Gonzalez

Publication date: 1 June 2016

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

Full work available at URL: https://doi.org/10.1007/s12346-015-0145-0

zbMATH Keywords

tournamentzero-sum gameergodic hypothesisrock-paper-scissors gameVolterra quadratic stochastic operator

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Evolutionary games (91A22) Probabilistic games; gambling (91A60)

Related Items (21)

Evolution algebras and dynamical systems of a worm propagation model ⋮ The dynamics of superposition of non-Volterra quadratic stochastic operators ⋮ On dynamics of Volterra and non-Volterra cubic stochastic operators ⋮ Fixed points of quadratic operators defined on a three-dimensional simplex of idempotent measures ⋮ An ( α , β ) - Quadratic Stochastic Operator Acting in S 2 ⋮ On a class of non-ergodic Lotka-Volterra operator ⋮ Applications of quadratic stochastic operators to nonlinear consensus problems ⋮ Discrete time dynamics of a SIRD reinfection model ⋮ Historical behavior for a class of Lotka–Volterra systems ⋮ Ganikhodjaev's conjecture on mean ergodicity of quadratic stochastic operators ⋮ On a family of non-Volterra quadratic operators acting on a simplex ⋮ On omega limiting sets of infinite dimensional Volterra operators ⋮ Unnamed Item ⋮ Ergodicities of infinite dimensional nonlinear stochastic operators ⋮ On non-ergodic Volterra cubic stochastic operators ⋮ The dynamics of (π, α)-cubic stochastic operators ⋮ On a family of Volterra cubic stochastic operators ⋮ On nonergodic uniform Lotka-Volterra operators ⋮ Quadratic operators corresponding to permutations ⋮ The dynamics of a Volterra cubic operator ⋮ The dynamics of superposition of non-Volterra quadratic stochastic operators on \(S^2\)

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