Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe

Collection Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe

Organizer(s) Benini, Anna Miriam ; Drach, Kostiantyn ; Dudko, Dzmitry ; Hlushchanka, Mikhail ; Schleicher, Dierk
Date(s) 20/09/2021 - 24/09/2021
linked URL https://conferences.cirm-math.fr/2546.html
00:00:00 / 00:00:00
21 27

Arithmetic geometric models for the renormalisation of irrationally indifferent attractors

By Davoud Cheraghi

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.

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Citation data

  • DOI 10.24350/CIRM.V.19811403
  • Cite this video Cheraghi, Davoud (23/09/2021). Arithmetic geometric models for the renormalisation of irrationally indifferent attractors. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19811403
  • URL https://dx.doi.org/10.24350/CIRM.V.19811403

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