Friday January 31st, 2025 | |
| Time: | 2:05 PM - 3:05 PM |
| Title: | Chaotic almost minimal systems |
| Speaker: | Scott Schmieding, Penn State University |
| Abstract: | |
| A classical theorem of Furstenberg states that the only proper closed subsets of the circle which are invariant under multiplication by both two and three are finite. Several generalizations of this result have been proven since then. First I will give some background, and then discuss a class of systems motivated by this, called chaotic almost minimal systems. I'll present some results joint with Kra and Cyr about such systems, including the existence of Z^d-actions which are chaotic almost minimal and possess multiple non-atomic ergodic measures for d>=1. Time permitting, I will list some more recent work, joint with Kra, about some related results. | |