## EVENT DETAILS AND ABSTRACT

**Dynamical Systems Seminar**
**Title:** Chaotic almost minimal systems

**Speaker:** Van Cyr

**Speaker Info:** Bucknell University

**Brief Description:**

**Special Note**:

**Abstract:**

A celebrated theorem of Furstenberg says that any closed subset of $S^1 = {\mathbb R}/{\mathbb Z}$
that is invariant under the maps $x \mapsto 2x \mod 1$ and $x \mapsto 3x \mod 1$ is either
equal to $S^1$ or finite. There are many interesting things to ask about this system
and a wide variety of questions remain open. In this talk, based on joint work with
B. Kra and S. Schmeiding, I will introduce an abstraction of the $\times 2, \times 3$ system to
what we call a chaotic almost minimal system. After providing definitions, I will
survey some results on the interplay between the acting group and the kinds of
phenomena that are possible.

**Date:** Tuesday, May 21, 2024

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Prof. Bryna Kra

**Contact email:** kra@math.northwestern.edu

**Contact Phone:** 847-491-5567

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