On mixing in the class of quadratic stochastic operators

DOI10.1016/j.na.2013.03.011zbMath1298.47069OpenAlexW2015126834MaRDI QIDQ392468

Małgorzata Pułka, Wojciech Bartoszek

Publication date: 14 January 2014

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.2013.03.011

zbMATH Keywords

asymptotic behaviornonhomogeneous Markov chainsquadratic stochastic operatorsmixing nonlinear Markov processesnonlinear Markov chains

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Ergodic theorems, spectral theory, Markov operators (37A30) Multilinear and polynomial operators (47H60)

Related Items (17)

Evolution algebras and dynamical systems of a worm propagation model ⋮ Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ Ergodicity of nonlinear Markov operators on the finite dimensional space ⋮ Dynamics of doubly stochastic quadratic operators on a finite-dimensional simplex ⋮ Ergodic properties of nonhomogeneous Markov chains defined on ordered Banach spaces with a base ⋮ Prevalence problem in the set of quadratic stochastic operators acting on \(L^{1}\) ⋮ Ganikhodjaev's conjecture on mean ergodicity of quadratic stochastic operators ⋮ On stable b-bistochastic quadratic stochastic operators and associated non-homogenous Markov chains ⋮ Quadratic stochastic operators on Banach lattices ⋮ Asymptotic properties of quadratic stochastic operators acting on the \(L^1\) space ⋮ Weak stability of centred quadratic stochastic operators ⋮ On mixing of Markov measures associated with b−bistochastic QSOs ⋮ Generalized Dobrushin ergodicity coefficient and ergodicities of non-homogeneous Markov chains ⋮ Ergodicity of $p$-majorizing nonlinear Markov operators on the finite dimensional space ⋮ On marginal processes of quadratic stochastic processes ⋮ Approximations of non-homogeneous Markov chains on abstract states spaces ⋮ Uniform stability and weak ergodicity of nonhomogeneous Markov chains defined on ordered Banach spaces with a base

Cites Work

• On \(L_1\)-weak ergodicity of nonhomogeneous discrete Markov processes and its applications
• On the mixing property and the ergodic principle for nonhomogeneous Markov chains
• On stochastic processes generated by quadric operators
• On the residuality of mixing by convolutions probabilities
• On infinite dimensional quadratic Volterra operators
• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS
• On infinite dimensional Volterra type operators
• On a paper by Doeblin on non-homogeneous Markov chains
• Structure of mixing and category of complete mixing for stochastic operators
• Cyclic Strong Ergodicity in Nonhomogeneous Markov Systems
• QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS
• Quadratic transformations: a model for population growth. I
• Quadratic transformations: a model for population growth. II
• More on the "Zero-Two" Law
• On residualities in the set of Markov operators on 𝒞₁
• On Two Recent Papers on Ergodicity in Nonhomogeneous Markov Chains
• The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On mixing in the class of quadratic stochastic operators