Sign up or sign in

Classification complexity of chaotic systems

Benjamin Vejnar ⟨benvej@gmail.com⟩

Abstract:

The aim of this talk is first to briefly describe a natural way of measuring simplicity/complexity of classification problems by using Invariant Descriptive Set Theory and then to discuss recent applications in the context of topological dynamics. We mainly deal with the classification of transitive systems on the interval, on the Cantor set and on the Hilbert cube with respect to the topological conjugacy relation. At the end, we provide some attempts to identify the complexity of classification of minimal systems.

Scheduled for: 2025-03-07 11:05 AM: Benjamin Vejnar (virtual) in Forbes 2070D

Status: Accepted

Collection: Dynamical Systems

Back to collection