• A
  • A
  • A
  • ABC
  • ABC
  • ABC
  • А
  • А
  • А
  • А
  • А
Regular version of the site

Article

A characterization of postcritically minimal Newton maps of complex exponential functions

Ergodic Theory and Dynamical Systems. 2019. Vol. 39. No. 10. P. 2855-2880.

We obtain a unique, canonical one-to-one correspondence between the space of marked postcritically finite Newton maps of polynomials and the space of postcritically minimal Newton maps of entire maps that take the form p(z)exp(q(z)) for p(z), q(z) polynomials and exp(z), the complex exponential function. This bijection preserves the dynamics and embedding of Julia sets and is induced by a surgery tool developed by Haïssinsky.