Date(s) : 28/01/2020
11 h 00 min - 12 h 00 min
Márcio Ricardo Alves GOUVEIA (IBILCE – Universidade Estadual Paulista, Brazil)
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.