English
Docile transcendental entire functions
Multi angle
Auteurs : Waterman, James (Auteur de la Conférence)
CIRM (Editeur )
30D05 - Functional equations in the complex domain, iteration and composition of analytic functions
30F20 - Classification theory of Riemann surfaces
30F45 - Conformal metrics (hyperbolic, Poincaré, distance functions)
37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
CIRM (Editeur )
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Résumé :
Several important problems in complex dynamics are centered around the local connectivity of Julia sets of polynomials and of the Mandelbrot set. Importantly, when the Julia set of a polynomial is locally connected, the topological dynamics ofthe map can be completely described as a quotient of a power map on the circle.Local connectivity of the Julia set is less significant for transcendental entire functions. Nevertheless, by restricting to a class of transcendental entire functions, known as docile functions, we obtain a similar concept by describing the topological dynamics as a quotient of a simpler disjoint-type map. We will discuss the notion ofdocile functions, as well as some of their properties. This is joint work with Lasse Rempe.
Keywords : holomorphic dynamics, transcendental entire function, docile
Codes MSC : Keywords : holomorphic dynamics, transcendental entire function, docile
30D05 - Functional equations in the complex domain, iteration and composition of analytic functions
30F20 - Classification theory of Riemann surfaces
30F45 - Conformal metrics (hyperbolic, Poincaré, distance functions)
37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 02/11/2021 Date de captation : 20/09/2021 Sous collection : Research talks arXiv category : Dynamical Systems Domaine : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Durée : 00:29:23 Audience : Researchers Download : https://videos.cirm-math.fr/2021-09-20_Waterman.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexeOrganisateurs de la rencontre : Benini, Anna Miriam ; Drach, Kostiantyn ; Dudko, Dzmitry ; Hlushchanka, Mikhail ; Schleicher, Dierk Dates : 20/09/2021 - 24/09/2021 Année de la rencontre : 2021 URL Congrès : https://conferences.cirm-math.fr/2546.html
Données de citation
DOI : 10.24350/CIRM.V.19815903Citer cette vidéo: Waterman, James (2021). Docile transcendental entire functions. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19815903 URI : http://dx.doi.org/10.24350/CIRM.V.19815903 |
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Bibliographie
