Dichotomy of Iterated Means for Nonlinear Operators
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 1, pp. 89-91

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In this paper, we discuss a dichotomy of iterated means of nonlinear operators acting on a compact convex subset of a finite-dimensional real Banach space. As an application, we study the mean ergodicity of nonhomogeneous Markov chains.
Keywords: mean ergodicity, iterated means, nonhomogeneous Markov chain.
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     author = {M. Saburov},
     title = {Dichotomy of {Iterated} {Means} for {Nonlinear} {Operators}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2018_52_1_a11/}
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M. Saburov. Dichotomy of Iterated Means for Nonlinear Operators. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 1, pp. 89-91. http://geodesic.mathdoc.fr/item/FAA_2018_52_1_a11/