On the notions of mating

DOI10.5802/afst.1355zbMath1360.37117arXiv1307.7934OpenAlexW2964239357MaRDI QIDQ1950977

Carsten Lunde Petersen, Daniel Meyer

Publication date: 28 May 2013

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7934

zbMATH Keywords

equivalence relationsholomorphic dynamicsmatings of polynomials

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (12)

Matings of cubic polynomials with a fixed critical point. Part II: α-symmetry of limbs ⋮ Combination Theorems in Groups, Geometry and Dynamics ⋮ On geometrically finite degenerations II: convergence and divergence ⋮ Combining rational maps and Kleinian groups via orbit equivalence ⋮ On a theorem of Rees-Shishikura ⋮ Quadrature domains and the real quadratic family ⋮ Hyperbolic-parabolic deformations of rational maps ⋮ Thurston's algorithm and rational maps from quadratic polynomial matings ⋮ A continuity result on quadratic matings with respect to parameters of odd denominator rationals ⋮ Bers slices in families of univalent maps ⋮ On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections ⋮ Circle packings, kissing reflection groups and critically fixed anti-rational maps

Cites Work

• Invariant Peano curves of expanding Thurston maps
• The iteration of cubic polynomials. I: The global topology of parameter space
• A partial description of parameter space of rational maps of degree two. I
• Complex dynamics
• Real laminations and the topological dynamics of complex polynomials
• Unmating of rational maps, sufficient criteria and examples
• Matings of quadratic polynomials
• Geometry and Dynamics of Quadratic Rational Maps
• Mating Siegel quadratic polynomials
• Expanding Thurston Maps
• Pasting Together Julia Sets: A Worked Out Example of Mating
• Dynamics in One Complex Variable. (AM-160)
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