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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Dynamics of dissipative interval gap maps

Márcio Gouveia
IBILCE - Universidade Estadual Paulista, Brazil
https://www.researchgate.net/profile/Marcio-Gouveia

Date(s) : 28/01/2020   iCal
11h00 - 12h00

We consider the class of dissipative interval gap maps, which are interval maps with a discontinuity point and derivative positive and smaller than one in every point of its domain. In this set we prove the existence of a lamination formed by the infinitely renormalizable maps, as well as the regularity of its leaves in the analytic case.
Moreover, in the case where each branch is Cʳ, for r≥4, we also prove the regularity of the conjugacies and of the holonomy map of the lamination.

The talk is based on a joint work with Trevor Clark.

 

Emplacement
I2M Luminy - TPR2, Salle de Séminaire 304-306 (3ème étage)

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