Ergodic Volterra Quadratic Transformations of Symplex
Nasir Ganikhodjaev, Dmitriy Zanin
TL;DR
This paper studies the ergodic properties of Volterra quadratic stochastic operators acting on a three-dimensional simplex, providing a comprehensive characterization of their long-term behavior.
Contribution
It offers a complete description of the ergodic properties of Volterra quadratic stochastic operators on a 3D simplex, which was previously not fully understood.
Findings
Complete characterization of ergodic properties
Identification of conditions for ergodicity
Analysis of long-term dynamics of the operators
Abstract
In the paper a Volterra quadratic stochastic operators of three dimensional simplex into itself is considered.The full description of ergodic properties such operators is given.
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Taxonomy
TopicsAdvanced Scientific Research Methods