Analytic multiplicative cocycles over holomorphic dynamical systems
Tien-Cuong Dinh
TL;DR
This paper investigates properties of analytic multiplicative cocycles in complex dynamical systems, enabling the construction of invariant analytic sets that reveal underlying system structures.
Contribution
It introduces new properties of analytic cocycles and demonstrates how to construct invariant analytic sets in complex dynamics.
Findings
Properties of analytic multiplicative cocycles established
Invariant analytic sets constructed for complex dynamical systems
Enhanced understanding of system structure through cocycles
Abstract
We prove some properties of analytic multiplicative and sub-multiplicative cocycles. The results allow to construct natural invariant analytic sets associated to complex dynamical systems.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Quantum chaos and dynamical systems · Advanced Differential Equations and Dynamical Systems