No elliptic limits for quadratic maps

DOI10.1017/S0143385799120996zbMath0921.30019OpenAlexW1994508304MaRDI QIDQ4238457

Carsten Lunde Petersen

Publication date: 3 October 1999

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385799120996

zbMATH Keywords

Julia setFatou setrational mapsquadratic mapsattracting basin

Mathematics Subject Classification ID

Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05)

Related Items (8)

On the geometry of bifurcation currents for quadratic rational maps ⋮ A model for the parabolic slices \(\mathrm{Per}_1(e^{2\pi ip/q})\) in moduli space of quadratic rational maps ⋮ Boundedness of hyperbolic components of Newton maps ⋮ Questions about polynomial matings ⋮ Bicritical rational maps: Dynamical limits and ideal limit points of periodmcurves ⋮ Rigidity and non-local connectivity of Julia sets of some quadratic polynomials ⋮ Bifurcation measures and quadratic rational maps ⋮ On pinching deformations of rational maps

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