On the random dynamics of Volterra quadratic operators

DOI10.1017/etds.2015.30zbMath1408.37090arXiv1401.7840OpenAlexW2166184028MaRDI QIDQ2978891

Maite Wilke-Berenguer, Uygun Jamilov, Michael K. R. Scheutzow

Publication date: 2 May 2017

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7840

zbMATH Keywords

random dynamical systemstochastic operatorsrandom point attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Random operators and equations (aspects of stochastic analysis) (60H25) Generation, random and stochastic difference and differential equations (37H10) Random nonlinear operators (47H40)

Related Items (21)

Evolution algebras and dynamical systems of a worm propagation model ⋮ Ergodicity of non-homogeneous \(\mathbf{p}\)-majorizing quadratic stochastic operators ⋮ The dynamics of superposition of non-Volterra quadratic stochastic operators ⋮ A class of Lotka-Volterra operators with historical behavior ⋮ Random delta-Hausdorff-attractors ⋮ Unnamed Item ⋮ An ( α , β ) - Quadratic Stochastic Operator Acting in S 2 ⋮ Nonlinear stochastic operators and associated inhomogeneous entangled quantum Markov chains ⋮ Discrete time dynamics of a SIRD reinfection model ⋮ On a family of non-Volterra quadratic operators acting on a simplex ⋮ Unnamed Item ⋮ Quadratic stochastic operators on Banach lattices ⋮ Certain polynomial stochastic operators ⋮ The dynamics of (π, α)-cubic stochastic operators ⋮ On a family of Volterra cubic stochastic operators ⋮ Asymptotics for a class of iterated random cubic operators ⋮ Quadratic operators corresponding to permutations ⋮ Unnamed Item ⋮ The dynamics of a Volterra cubic operator ⋮ The dynamics of superposition of non-Volterra quadratic stochastic operators on \(S^2\) ⋮ A quadratic worm propagation model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Volterra quadratic stochastic operators of a two-sex population
• Nonergodic quadratic operators for a two-sex population
• Criteria for strong and weak random attractors
• Attractors for random dynamical systems
• On an application of the theory of Gibbs distributions in mathematical genetics.
• Global random attractors are uniquely determined by attracting deterministic compact sets
• Comparison of various concepts of a random attractor: a case study
• Chasing balls through martingale fields
• Map of fixed points and Lyapunov functions for one class of discrete dynamical systems
• \(F\)-quadratic stochastic operators
• On infinite dimensional quadratic Volterra operators
• QUADRATIC STOCHASTIC OPERATORS AND PROCESSES: RESULTS AND OPEN PROBLEMS
• Random Point Attractors Versus Random Set Attractors
• On the structure of attractors and invariant measures for a class of monotone random systems
• Quadratic stochastic operators and zero-sum game dynamics
• ON THE BEHAVIOUR OF TRAJECTORIES AND THE ERGODIC HYPOTHESIS FOR QUADRATIC MAPPINGS OF A SIMPLEX
• QUADRATIC STOCHASTIC OPERATORS, LYAPUNOV FUNCTIONS, AND TOURNAMENTS
• Quadratic transformations: a model for population growth. I
• Quadratic transformations: a model for population growth. II
• On a necessary condition for the ergodicity of quadratic operators defined on the two-dimensional simplex
• The dynamics of strictly non-Volterra quadratic stochastic operators on the 2-simplex

This page was built for publication: On the random dynamics of Volterra quadratic operators