What question did this study set out to answer?

This research aims to explore the entropy of dynamical systems defined on complex surfaces, specifically focusing on biholomorphic automorphisms.

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May 17, 2026

Entropy of dynamical systems on complex surfaces

Key Points

This research aims to explore the entropy of dynamical systems defined on complex surfaces, specifically focusing on biholomorphic automorphisms.
Overview of dynamical systems and their properties on complex surfaces.
Analysis of topological and measure-theoretic entropy.
Discussion on the relationship between positive entropy and Salem numbers.
Identified the connection between positive entropy and Salem numbers.
Characterized the unique maximal entropy measure associated with the systems examined.

Abstract

This article provides an overview of dynamical systems on complex surfaces, especially focusing on the topological and measure-theoretic entropy of biholomorphic automorphisms. Moreover, we discuss the connection between positive entropy and Salem numbers, as well as the properties of the unique maximal entropy measure.

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Entropy of dynamical systems on complex surfaces

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