Dilations of the circle through the lens of dynamical systems
Speaker: Scott Schmieding
Affiliation: The Pennsylvania State University
Abstract
Multiplication by natural numbers on the circle R/Z gives an elementary and rich source of examples in dynamical systems. I’ll discuss some of the basic properties of these dilation maps in the context of topological dynamics, ergodic theory, and number theory. Along the way I will mention some classical rigidity results of Furstenberg for multiplication by 2 and 3, and at the end will discuss some more recent questions/results concerning dilations of arbitrary compact subsets of the circle. The talk will not assume any background in dynamics.
About Pure mathematics seminars
We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.
Seminars are usually held on Tuesdays from 2 to 3pm.
Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.
Information for speakers
Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.
Contact us
To volunteer to talk or to suggest a speaker, email Ole Warnaar or Yang Zhang.
Venue
Room: N201