Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space
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Publication:2321348
DOI10.1016/j.laa.2019.05.011zbMath1476.47038OpenAlexW2946277100MaRDI QIDQ2321348
Publication date: 29 August 2019
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2019.05.011
contractionnonlinear Markov operatorstrong ergodicityscramblingDobrushin's ergodicity coefficient$p$-majorizationSarymsakovWolfowitz stochastic hypermatrices
Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Ergodic theorems, spectral theory, Markov operators (37A30) Multilinear and polynomial operators (47H60) Nonlinear ergodic theorems (47H25)
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Ergodicity Coefficients for Higher-Order Stochastic Processes ⋮ Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ Krause mean processes generated by cubic stochastic diagonally primitive matrices ⋮ Krause mean processes generated by cubic stochastic matrices IV: off-diagonally uniformly positive nonautonomous cubic stochastic matrices ⋮ Applications of quadratic stochastic operators to nonlinear consensus problems ⋮ Ganikhodjaev's conjecture on mean ergodicity of quadratic stochastic operators ⋮ Reaching a consensus via Krause mean processes in multi-agent systems: quadratic stochastic operators ⋮ Iterated means dichotomy for discrete dynamical systems
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