Dynamics of Polynomial Diffeomorphisms of $C^2$: Foliations and laminations
Eric Bedford
TL;DR
This paper reviews current understanding and open questions regarding the complex dynamics of polynomial diffeomorphisms in two dimensions, focusing on foliations and laminations.
Contribution
It provides a comprehensive summary of the state of the art and highlights key open problems in the dynamics of polynomial diffeomorphisms in complex two-dimensional space.
Findings
Summarizes recent advances in complex dynamics.
Identifies open questions in foliations and laminations.
Provides insights into the structure of polynomial diffeomorphisms.
Abstract
This essay summarizes the state of the art on some aspects of the dynamics of polynomial diffeomorphsms in complex dimension two, and it presents a number of open questions.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Mathematical Dynamics and Fractals · Quantum chaos and dynamical systems