Colóquio de Matemática
Some Examples of Universality in Dynamics
Prof. Udayan Babubhai Darji (University of Louisville – USA)
In this talk we discuss two types of dynamical systems. Once concerns the dynamics of linear map on separable Banach spaces and the other concerns dynamical systems on the Cantor set. It is well-known that dynamics of compact metric metric space can be captured by the dynamics of the Cantor space. More precisely, if (X,f) is a dynamical systems with X a compact metric space and f continuous, then (X,f) is a factor of some (C,g) where C is the Cantor space and g is continuous self-map of C. Hence, in some sense Cantor set is universal for dynamics of compact metric spaces. The type of questions we discuss concerns given a large class of dynamical systems, can we find one “super” or “universal” dynamical systems such that every system in the given class is a factor of this “universal” dynamical system?
This is joint work with Etienne Matheron. The results of this talk will appear in Proc of the AMS
Dia – Hora: 10/06/2016 – 14:00h
Local: Auditório do Departamento de Matemática (Sala 007) – UFSC