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Probability and Dynamical Systems Seminar
Introduction to Ergodic Theory and Rotation Number
Introduction to Ergodic Theory and Rotation Number
Organizers
Speaker
Time
Tuesday, November 25, 2025 3:15 PM - 4:15 PM
Venue
A3-1-101
Abstract
I will present the basic facts about circle homeomorphisms: rotation numbers, unique ergodicity, continued fractions, and conjugacy with rigid rotations.
Speaker Intro
Khanin received his PhD from the Landau Institute of Theoretical Physics in Moscow and continued working there as a Research Associate until 1994. Afterwards, he taught at Princeton University, at the Isaac Newton Institute in Cambridge, and at Heriot-Watt University before joining the faculty at the University of Toronto. Khanin was an invited speaker at the European Congress of Mathematics in Barcelona in 2000. He was a 2013 Simons Foundation Fellow. He held the Jean-Morlet Chair at the Centre International de Rencontres Mathématiques in 2017, and he was an Invited Speaker at the International Congress of Mathematicians in 2018 in Rio de Janeiro. In 2021 he was awarded The Humboldt Prize, also known as the Humboldt Research Award, in recognition of his lifetime's research achievements.