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Arithmetic geometric models for the renormalisation of irrationally indifferent attractors

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Authors : Cheraghi, Davoud (Author of the conference)
CIRM (Publisher )

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Abstract : In this talk we present a toy model for the (sector) renormalisation of holomorphic maps with an irrationally indifferent fixed points. The model depends on the arithmetic of the rotation number at the fixed point, and exhibits the geometry of a non-degenerate holomorphic map with an irrationally indifferent fixed point. We present some sufficient conditions on a give (sector) renormalisation which guarantees the underlying map has the same dynamics as the one of the toy model.

Keywords : Renormalisation; irrationally indifferent cycles; Siegel disks; Cremer fixed points

MSC Codes :
11Dxx - Diophantine equations, See also {11Gxx, 14Gxx}
30Cxx - Geometric function theory
37FXX - complex dynamical systems

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 02/11/2021
    Conference Date : 23/09/2021
    Subseries : Research talks
    arXiv category : Dynamical Systems
    Mathematical Area(s) : Dynamical Systems & ODE
    Format : MP4 (.mp4) - HD
    Video Time : 01:02:26
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2021-09-23_Cheraghi.mp4

Information on the Event

Event Title : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe
Event Organizers : Benini, Anna Miriam ; Drach, Kostiantyn ; Dudko, Dzmitry ; Hlushchanka, Mikhail ; Schleicher, Dierk
Dates : 20/09/2021 - 24/09/2021
Event Year : 2021
Event URL : https://conferences.cirm-math.fr/2546.html

Citation Data

DOI : 10.24350/CIRM.V.19811403
Cite this video as: Cheraghi, Davoud (2021). Arithmetic geometric models for the renormalisation of irrationally indifferent attractors. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19811403
URI : http://dx.doi.org/10.24350/CIRM.V.19811403

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