Un theoreme de semi-continuite pour l'entropie des applications meromorphes

2013/12/20 by Henry de Thélin, Henry de Thelin, de Thelin, Henry
Mathematics · #32H50 #32U40 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals #Meromorphic and Entire Functions #math.CV #math.DS #msc:32H50 #msc:32U40

paper · pdf · doi:10.48550/arxiv.1312.5942

23 pages, paper in french

arxiv created 2013/12/20 · openalex publication_date 2013/12/20 · arxiv updated 2013/12/23 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We prove a theorem of uppersemicontinuity for the metric entropy of meromorphic maps.

Related

• Sur l'etude de l'entropie des applications meromorphes
• Entropy of meromorphic maps acting on analytic sets
• Upper semi-continuity of metric entropy for C^1,α diffeomorphisms
• Upper semi-continuity of metric entropy for diffeomorphisms with dominated splitting
• Upper bound for topological entropy of a meromorphic correspondence