English
Near-degenerate regime in neutral renormalization
Virtualconference
Auteurs : Dudko, Dzmitry (Auteur de la Conférence)
CIRM (Editeur )
37FXX - complex dynamical systems
CIRM (Editeur )
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Résumé :
A fundamental fact about Riemann surfaces is that they degenerate in a specific pattern — along thin annuli or wide rectangles. As it was demonstrated by W. Thurston in his realization theorem, we can often understand the dynamical system by establishing a priori bounds (a non-escaping property) in the near-degenerate regime. Similar ideas were proven to be successful in the Renormalization Theory of the Mandelbrot set. We will start the talk by discussing a dictionary between Thurston and Renormalization theories. Then we will proceed to neutral renormalization associated with the main cardioid of the Mandelbrot set. We will show how the Transcendental Dynamics naturally appear on the renormalization unstable manifolds. In conclusion, we will describe uniform a priori bounds for neutral renormalization — joint work with Misha Lyubich.
Codes MSC : 37FXX - complex dynamical systems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 02/11/2021 Date de captation : 22/09/2021 Sous collection : Research School arXiv category : Dynamical Systems Domaine : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Durée : 01:03:26 Audience : Researchers Download : https://videos.cirm-math.fr/2021-09-22_Dudko.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.19812003Citer cette vidéo: Dudko, Dzmitry (2021). Near-degenerate regime in neutral renormalization. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19812003 URI : http://dx.doi.org/10.24350/CIRM.V.19812003 |
Voir aussi
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Bibliographie
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