Date. January 22, 14h00m (UTC/GMT)

Speaker. Jairo Bochi (PUC Chile)

Title. Topological emergence

Abstract.

I will explain the notion of topological emergence of a dynamical system, introduced by Pierre Berger and myself (2019). Topological emergence is a measurement of diversity of statistical behavior, and it is independent of the traditional notions of dynamical complexity, such as entropy. I will show an universal bound on topological emergence depending on the ambient dimension, and I will discuss the problem of computing topological emergence of some hyperbolic dynamical systems. I will sketch the proofs.

Online Zoom meeting (Session will open some minutes before 14h00)
https://videoconf-colibri.zoom.us/j/87614109312?pwd=eWFzS0VNc0M3NFZ0OWRqUDNrNzBiQT09

Meeting ID: 876 1410 9312

Password: 092712