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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