Multicorns are not Path Connected
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Publication:2948682
zbMath1355.37070arXiv1209.1753MaRDI QIDQ2948682
Dierk Schleicher, John H. Hubbard
Publication date: 6 October 2015
Full work available at URL: https://arxiv.org/abs/1209.1753
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 (16)
Non-landing parameter rays of the multicorns ⋮ Analytic classification of germs of parabolic antiholomorphic diffeomorphisms of codimension k ⋮ Combination Theorems in Groups, Geometry and Dynamics ⋮ Antiholomorphic perturbations of Weierstrass Zeta functions and Green’s function on tori ⋮ Cross-sections of the multicorns ⋮ Spectral norm of a symmetric tensor and its computation ⋮ Distribution of postcritically finite polynomials III: Combinatorial continuity ⋮ Unnamed Item ⋮ On multicorns and unicorns II: bifurcations in spaces of antiholomorphic polynomials ⋮ Zalcman functions and similarity between the Mandelbrot set, Julia sets, and the tricorn ⋮ Parabolic arcs of the multicorns: real-analyticity of Hausdorff dimension, and singularities of \(\mathrm{Per}_n(1)\) curves ⋮ Invisible tricorns in real slices of rational maps ⋮ Schwarz reflections and anti-holomorphic correspondences ⋮ Self-Similarity for the Tricorn ⋮ Orbit portraits of unicritical antiholomorphic polynomials ⋮ Discontinuity of Straightening in Anti-holomorphic Dynamics: I
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