Some Arguments in Equidistribution - Lecture 7

Watch a 43-minute mathematics lecture from the Simons Semester on Dynamics series where Professor Jon Chaika from the University of Utah explores equidistribution arguments. Delve into advanced mathematical concepts including measure preservation, ergodicity, and the Birkhoff ergodic theorem, examining their applications to continuous compactly supported functions. Learn about the ergodicity of irrational circle rotations and flows on the 2-torus through various mathematical arguments developed by Ratner/Masur, Codene, and Dani. Explore the relationship between ergodicity and mixing of hyperbolic total automorphisms using the Hopf argument, gaining deep insights into dynamical systems and mathematical theory.