2007/03/06 by Carlos Cabrera, Cabrera, Carlos
Mathematics · #37B45 #37F10 #37F20 #37F45 #37F50 #46M40 #Advanced Differential Equations and Dynamical Systems #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.math/0703159
openalex publication_date 2007/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Given any rational map f, there is a lamination by Riemann surfaces associated to f. Such laminations were constructed in general by Lyubich and Minsky. In this paper, we classify laminations associated to quadratic polynomials with periodic critical point. In particular, we prove that the topology of such laminations determines the combinatorics of the parameter. We also describe the topology of laminations associated to other types of quadratic polynomials.