Odeljenje za matematiku, 17. mart 2023.

Naredni sastanak Seminara biće održan u petak, 17. marta 2023, u sali 301f Matematičkog instituta SANU sa početkom u 14.15. U pitanju je zajednički sastanak sa Seminarom za logiku.

Predavač: Darji Udayan, University of Louisville

Naslov predavanja: LOCAL ENTROPY AND DESCRIPTIVE COMPLEXITY
 
Apstrakt:
We investigate local entropy theory, particularly the properties of having uniform positive entropy and completely positive entropy, from a descriptive set-theoretic point of view. We show natural classes of dynamical systems which form Borel sets as well as coanalytic non-Borel sets. In particular, we show that the class of systems with uniform positive entropy and the class of systems with the shadowing property having completely positive entropy is Borel. Meanwhile, the class of mixing systems on a Cantor space is coanalytic but not Borel, and the class of systems on the interval and other orientable manifolds with CPE is coanalytic complete.

Napomena: Predavanja se mogu pratiti na daljinu preko linka:
https://miteam.mi.sanu.ac.rs/call/T9XDGChhq8aDcNqmz/qw7wIwci2jv2rdg9I9CrXkm7OJhF_LB8DfjXZp4jTFV

Registraciona forma je dostupna na:
https://miteam.mi.sanu.ac.rs/asset/tz97w4Hu4c3unsJ7N



Nažalost nije moguće ostaviti komentar.