Hyperbolicité des polynômes fibrés

DOI10.24033/bsmf.2354zbMath0937.37025OpenAlexW1026572476MaRDI QIDQ4700608

Olivier Sester

Publication date: 4 November 1999

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1999__127_3_393_0

zbMATH Keywords

Julia setsexpandingJulia setGreen functionholomorphic dynamicsquasi-circlesfibered polynomialfibered complex polynomialsfibred polynomials

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) General theory of random and stochastic dynamical systems (37H05)

Related Items (21)

A non-laminar dynamical Green current ⋮ Generalized adding machines and Julia sets ⋮ A degenerate Newton's map in two complex variables: linking with currents ⋮ Robust non-hyperbolic fibred quadratic polynomial dynamics ⋮ Fibred quadratic polynomials can admit two attracting invariant curves ⋮ A dichotomy for Fatou components of polynomial skew products ⋮ Spectra of generalized stochastic adding machines ⋮ Towards a semi-local study of parabolic invariant curves for fibered holomorphic maps ⋮ Preservation of external rays in non-autonomous iteration ⋮ Sur la persistance des courbes invariantes pour les dynamiques holomorphes fibrées lisses ⋮ Combinatorics and topology of straightening maps. I: Compactness and bijectivity ⋮ Stochastic adding machines based on Bratteli diagrams ⋮ Hereditarily non uniformly perfect non-autonomous Julia sets ⋮ Böttcher coordinates for polynomial skew products ⋮ Ergodic properties of fibered rational maps ⋮ Orbit portraits in non-autonomous iteration ⋮ On the persistence of invariant curves for fibered holomorphic transformations ⋮ Topological entropy on saddle sets in \(\mathbb{P}^2\) ⋮ SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS ⋮ Postcritical sets and saddle basic sets for Axiom A polynomial skew products on ⋮ Fibrewise expansive systems

Cites Work

• Generalized support points of the set of univalent functions
• The iteration of cubic polynomials. I: The global topology of parameter space
• Complex dynamics
• Configurations combinatoires des polynômes fibrés de degré 2
• Complex Dynamics and Renormalization (AM-135)
• Socioemotional Development and Health from Adolescence to Adulthood, L.Pulkkinen, J.Kaprio, R.J.Rose (Eds.). Cambridge University Press, New York (2006). 439pp., $34.99, hardcover, ISBN: 0‐521‐84631‐5
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