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.

synapse

⌘+K

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.

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Authors

Takato Uehara

United Nations Development Programme

Journals

Sugaku Expositions

Actions

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Discussion

Cite this study

Takato Uehara (Fri,) studied this question.

synapsesocial.com/papers/6a095ba67880e6d24efe173e — DOI: https://doi.org/10.1090/suga/506

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Coxeter groups, Salem numbers and the Hilbert metric· 2002 · 82 citations
Lectures on K3 Surfaces· 2016 · 402 citations
Introduction to Smooth Ergodic Theory· 2013 · 55 citations
The dirichlet problem for a complex Monge-Amp�re equation· 1976 · 693 citations
On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$· 1960 · 139 citations

Also consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

Coxeter groups, Salem numbers and the Hilbert metric· 2002 · 82 citations
Lectures on K3 Surfaces· 2016 · 402 citations
Introduction to Smooth Ergodic Theory· 2013 · 55 citations
The dirichlet problem for a complex Monge-Amp�re equation· 1976 · 693 citations
On rational surfaces I. Irreducible curves of arithmetic genus $0$ or $1$· 1960 · 139 citations

Entropy of dynamical systems on complex surfaces

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study

Also consider

Also consider