Asymptotic properties of quadratic stochastic operators acting on the \(L^1\) space

DOI10.1016/j.na.2014.10.032zbMath1334.47015OpenAlexW1975852449MaRDI QIDQ2255019

Małgorzata Pułka, Krzysztof Bartoszek

Publication date: 6 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.10.032

zbMATH Keywords

quadratic stochastic operatorsmixing nonlinear Markov processnonhomogeneous Markov operators

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Positive linear operators and order-bounded operators (47B65) Mathematical biology in general (92B99) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (10)

Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ Projective surjectivity of quadratic stochastic operators on \(L^1\) and its application ⋮ Ergodicity of nonlinear Markov operators on the finite dimensional space ⋮ Prevalence problem in the set of quadratic stochastic operators acting on \(L^{1}\) ⋮ Ganikhodjaev's conjecture on mean ergodicity of quadratic stochastic operators ⋮ On omega limiting sets of infinite dimensional Volterra operators ⋮ Quadratic stochastic operators on Banach lattices ⋮ Ergodicities of infinite dimensional nonlinear stochastic operators ⋮ Weak stability of centred quadratic stochastic operators ⋮ Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space

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