Tapia Garcia, S. (2023, September 20). Recurrence and vectors escaping to infinity for Lipschitz operators [Conference Presentation]. ÆSY TO DEFINE, HARD TO ANALYSE : FIRST CONFERENCE ON LIPSCHITZ FREE SPACES 2023, Besancon, France.
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
Date (published):
20-Sep-2023
-
Event name:
ÆSY TO DEFINE, HARD TO ANALYSE : FIRST CONFERENCE ON LIPSCHITZ FREE SPACES 2023
en
Event date:
19-Sep-2023 - 22-Sep-2023
-
Event place:
Besancon, France
-
Keywords:
Lipschitz; Metric Space; Recurrent vectors
en
Abstract:
In this talk we discuss about dynamical properties of linear operators that are obtained as the linearization of Lipschitz self-maps defined on a pointed metric space. These operators are known as Lipschitz operators. Precisely, for a Lipschitz operator F, we study the set of recurrent vectors and the set of vectors that escape to infinity. As a consequence, we show that there is no wild Lipschitz operator. We highlight the cases when the underlying metric space is a connected subset of R or a subset of Zd