Some Arguments in Equidistribution - Lecture 6

Explore a one-hour mathematics lecture focusing on equidistribution arguments, part of the Simons Semester on Dynamics series delivered by Jon Chaika from the University of Utah. Delve into the baby case of Codene's argument concerning ergodicity of flow in a particular direction on the 2-torus. Build upon previous lectures that covered measure preservation, ergodicity definitions, Birkhoff ergodic theorem, irrational circle rotations, and Ratner/Masur's arguments. Connect to subsequent content examining ergodicity and mixing of hyperbolic total automorphisms through the Hopf argument, along with Dani's approach to directional flow ergodicity on the 2-torus.