Ergodic Theory

Christopher Hoffman (University of Washington) , Anthony Quas (University of Victoria)

Mar 29, 2021 — Jun 4, 2021

About the course

Ergodic theory is the study of dynamical systems from a measurable or statistical point of view. Starting with Poincaré’s recurrence theorem and the ergodic theorems of Birkoff and von Neumann ergodic theory in the early twentieth century. The field has applications to many other areas of mathematics including probability, number theory and harmonic analysis. Among the topics covered will be

  • examples of ergodic systems
  • the mean and pointwise ergodic theorems
  • mixing conditions
  • recurrence
  • entropy and
  • the Ornstein’s Isomorphism Theorem.


This course is available for registration under the Western Dean's Agreement. To register, you must obtain the approval of the course instructor and you must complete the Western Dean's agreement form , using the details below. The completed form should be signed by your home institution department and school of graduate studies, then returned to the host institution of the course.

Enrollment Details

Course Name
Ergodic Theory
Mar 29, 2021 — Jun 4, 2021
Course Number
MATH580 (UVic)
Section Number
Section Code
Topics in Pure Mathematics


For help with completing the Western Dean’s agreement form, please contact the graduate student program coordinator at your institution. For more information about the agreement, please see the Western Dean's Agreement website

Other Course Details


This course will run between March 29th and June 6th of 2021, and is now open for registration. Please note that this course is shared between the University of Washington and the University of Victoria. The course will taught primarily by by Prof. Hoffman (UWashington) Canadian students wishing to register for credit under the WDA should use the details above for the course at the University of Victoria and should direct any registration enquiries to Prof. Quas (UVic). Please note that for some sites students must register at least 6 weeks before the course start date, for this course that deadline is February 15th, 2021.

Reference texts

  • Ergodic Theory by Karl Petersen