Dynamic aspects of the linearization of Lipschitz maps
- Inicio: September 6, 2023
- Hora: 07:30 PM
- Speaker: Prof. H. Villavicencio y Prof. M. Saavedra
- Lugar: Virtual. The link will be sent to registered people Link will appear here.
Speakers: Helmuth Villavicencio (IMCA) & Manuel Saavedra (UFRJ)
Monday & Wedsnesday 7:30 pm - 9:00pm
From september 6th to october 16th, 2023.
Please register to receive the link of course
Understanding the behavior of the iterates of linear operators has a great impact in the last decades within the area of dynamic systems. Recently in [1] the notion of Lipschitz Operator is explored, which connects classical aspects of topological dynamics and operator dynamics. This type of operators is perhaps as important in the microcosm of dynamical systems such as Cantor sets in Mathematics.
In this short course we address dynamic aspects of lipschitz maps between two point metric spaces and their relationships with the associated linearization over the Lipschitz free spaces. Within those connections we will see hypercyclicity, Chaos of Devaney and recurrence.
[1] Abbar, A., Coine, C. & Petitjean, C. On the Dynamics of Lipschitz Operators. integr. Eq. op. Theory 93, 45 (2021).