Prof. Yair Glasner

Course topics

  • The notion of a Dynamical system, background, motivating examples.
  • Limit Sets and Recurrence, Van der Varden’s theorem as an application.
  • Basic notions in topological dynamics: Topological transitivity, minimality, topological Mixing, Expansiveness, Equicontinuity.
  • Circle rotations, homeomorphisms of the circle, rotation numbers and Denjoy’s theorem.
  • Topological entropy.
  • Automorphisms of the torus, automorphisms of compact groups.
  • Shift spaces and shifts of finite type
  • Brief introduction to ergodic theory: Equidistribution, unique ergodicity.

University course catalogue: 201.1.0611