Topology of the regular part for infinitely renormalizable quadratic polynomials

Carlos Cabrera, and Tomoki Kawahira. "Topology of the regular part for infinitely renormalizable quadratic polynomials." Fundamenta Mathematicae 208.1 (2010): 35-56. <http://eudml.org/doc/283188>.

@article{CarlosCabrera2010,
abstract = {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.},
author = {Carlos Cabrera, Tomoki Kawahira},
journal = {Fundamenta Mathematicae},
keywords = {renormalization},
language = {eng},
number = {1},
pages = {35-56},
title = {Topology of the regular part for infinitely renormalizable quadratic polynomials},
url = {http://eudml.org/doc/283188},
volume = {208},
year = {2010},
}

TY - JOUR
AU - Carlos Cabrera
AU - Tomoki Kawahira
TI - Topology of the regular part for infinitely renormalizable quadratic polynomials
JO - Fundamenta Mathematicae
PY - 2010
VL - 208
IS - 1
SP - 35
EP - 56
AB - 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.
LA - eng
KW - renormalization
UR - http://eudml.org/doc/283188
ER -