Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains

DOI10.1016/j.laa.2016.06.012zbMath1375.60119OpenAlexW2416382973WikidataQ122976158 ScholiaQ122976158MaRDI QIDQ306438

Mansoor Saburov, Nur Atikah Yusof

Publication date: 31 August 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.012

zbMATH Keywords

stationary probability vectorthe second-order Markov chaintransition hypermatrix

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Eigenvalues, singular values, and eigenvectors (15A18) Multilinear algebra, tensor calculus (15A69)

Related Items (11)

Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ On regularity of positive quadratic doubly stochastic operators ⋮ Krause mean processes generated by cubic stochastic diagonally primitive matrices ⋮ Second order Markov chains with finite vectors known stationary ⋮ 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 ⋮ On regularity of diagonally positive quadratic doubly stochastic operators ⋮ Reaching a consensus via Krause mean processes in multi-agent systems: quadratic stochastic operators ⋮ Iterated means dichotomy for discrete dynamical systems ⋮ Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space

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• Quantum quadratic operators and processes
• The mixture transition distribution model for high-order Markov chains and non-Gaussian time series
• Stationary probability vectors of higher-order Markov chains
• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS

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