ListarMAT_Articles por tema "Blaschke products"

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    • openAccess   On a family of rational perturbations of the doubling map 

      Canela, Jordi; Fagella, Núria; Garijo, Antonio Taylor and Francis (2015-06-17)
      The goal of this paper is to investigate the parameter plane of a rational family of perturbations of the doubling map given by the Blaschke products Ba(z) = z 3 z−a 1−az¯ . First we study the basic properties of these ...

    • openAccess   Rational maps with Fatou components of arbitrarily large connectivity 

      Canela, Jordi Elsevier (2018-02-02)
      We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping configurations ...

    • openAccess   Singular perturbations of Blaschke products and connectivity of Fatou components 

      Canela, Jordi American Institute of Mathematical Sciences (AIMS) (2017)
      The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...