Topology of the regular part for infinitely renormalizable quadratic polynomials

• Autorzy: Carlos Cabrera , Tomoki Kawahira
• Języki publikacji: EN

Abstrakty

EN

We describe the well studied process of renormalization of quadratic polynomials from the point of view of their natural extensions. In particular, we describe the topology of the inverse limit of infinitely renormalizable quadratic polynomials and prove that when they satisfy a priori bounds, the topology is rigid modulo combinatorial equivalence.

Kategorie tematyczne

• 37F45: Holomorphic families of dynamical systems; the Mandelbrot set; bifurcations
• 37F25: Renormalization
• 37F10: Polynomials; rational maps; entire and meromorphic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 208
• Numer: 1
• Strony: 35-56

Daty

wydano

2010

Twórcy

autor

Carlos Cabrera

• Instituto de Matemáticas, Unidad Cuernavaca, UNAM, Av. Universidad s/n, Col. Lomas de Chamilpa, C. P. 62210, Cuernavaca, Morelos, Mexico

autor

Tomoki Kawahira

• Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan

Identyfikatory

DOI

10.4064/fm208-1-3