Real and complex dynamics of a family of birational maps of the plane: the golden mean subshift

2003/06/18 by Eric Bedford, Bedford, Eric, Jeffrey Diller +1
Materials Science · Mathematics · Physics and Astronomy · #37D99 #37F99 #Advanced Mathematical Theories and Applications #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Quasicrystal Structures and Properties #math.CV #math.DS #msc:37D99 #msc:37F99

paper · pdf · doi:10.48550/arxiv.math/0306276

45 pages, 12 figures

arxiv created 2003/06/18 · openalex publication_date 2003/06/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a detailed description of the dynamics of a family of birational mappings of the plane. The organizing theme of our analysis is that this family is essentially conjugate to the golden mean subshift.

Citations

• Topological entropy and complexity for discrete dynamical systems

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