Open problems in local discrete holomorphic dynamics

2011/07/25 by Marco Abate, Abate, Marco
Mathematics · Physics and Astronomy · #32H50 #37F99 #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1107.4876

openalex publication_date 2011/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper contains a selection, dictated by personal taste and by no means complete, of open problems in local discrete holomorphic dynamics.

Citations

• Discrete local holomorphic dynamics
• Rigidification of holomorphic germs with non-invertible differential
• Dynamics of multi-resonant biholomorphisms

Related

• Discrete holomorphic local dynamical systems
• Discrete local holomorphic dynamics
• Fixed points and dynamics of holomorphic maps
• A brief survey on local holomorphic dynamics in higher dimensions
• Some open problems in low dimensional dynamical systems