Geodesic
Topology of the regular part for infinitely renormalizable quadratic polynomials
Carlos Cabrera 1   ; Tomoki Kawahira 2
1 Instituto de Matemáticas Unidad Cuernavaca, UNAM Av. Universidad s//n, Col. Lomas de Chamilpa C. P. 62210, Cuernavaca, Morelos, Mexico
2 Graduate School of Mathematics Nagoya University Nagoya 464-8602, Japan
Fundamenta Mathematicae, Tome 208 (2010) no. 1, pp. 35-56 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm208-1-3
Keywords: describe studied process renormalization quadratic polynomials point view their natural extensions particular describe topology inverse limit infinitely renormalizable quadratic polynomials prove satisfy priori bounds topology rigid modulo combinatorial equivalence

Carlos Cabrera  1   ; Tomoki Kawahira  2

1 Instituto de Matemáticas Unidad Cuernavaca, UNAM Av. Universidad s//n, Col. Lomas de Chamilpa C. P. 62210, Cuernavaca, Morelos, Mexico
2 Graduate School of Mathematics Nagoya University Nagoya 464-8602, Japan 
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Carlos Cabrera; Tomoki Kawahira. Topology of the regular part for
infinitely renormalizable quadratic polynomials. Fundamenta Mathematicae, Tome 208 (2010) no. 1, pp. 35-56. doi: 10.4064/fm208-1-3

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