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• W2417245265 abstract "A nonlinear Markov chain is a discrete time stochastic process whose transition matrices may depend not only on the current state of the process but also on the current distribution of the process. In this paper, we study strong and uniform ergodicity of nonlinear Markov operators defined by stochastic hypermatrices (higher order matrix). We introduce Dobrushin’s ergodicity coefficient for a stochastic hypermatrix which enables to study ergodicity of nonlinear Markov operators. By introducing a notion of scrambling stochastic hypermatrix, we study the strong ergodicity of scrambling nonlinear Markov operators." @default.
• W2417245265 created "2016-06-24" @default.
• W2417245265 creator A5034398386 @default.
• W2417245265 date "2016-09-01" @default.
• W2417245265 modified "2023-09-27" @default.
• W2417245265 title "Ergodicity of nonlinear Markov operators on the finite dimensional space" @default.
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• W2417245265 doi "https://doi.org/10.1016/j.na.2016.05.006" @default.
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