2012/02/19 by Arnaud Chéritat, Chéritat, Arnaud
Mathematics · #37Fxx #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1202.4188
openalex publication_date 2012/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
After giving an introduction to the procedure dubbed slow polynomial mating\nand stating a conjecture relating this to other notions of polynomial mating,\nwe show conformally correct pictures of the slow mating of two degree 3 post\ncritically finite polynomials introduced by Shishikura and Tan Lei as an\nexample of a non matable pair of polynomials without a Levy cycle. The pictures\nshow a limit for the Julia sets, which seems to be related to the Julia set of\na degree 6 rational map. We give a conjectural interpretation of this in terms\nof pinched spheres and show further conformal representations.\n