Topic outline

  • Lectures

    Note!

    The Zoom-meetings of the lectures will be recorded.

    I try to make the recordings available within a few days of the lecture.

    If you do not wish to appear on the recordings, that should be possible by keeping your microphone muted in Zoom. If you don't mind, you are most welcome to unmute your self for comments and questions! The best alternative channel for comments and questions is the Zulip Lectures-stream.



    Lecture 1 - Monday, March 1 at 10:15
    • Chapter I of the lecture notes: Overview and Pólya's theorem on the recurrence and transience of random walks.

    Lecture 2 - Wednesday, March 3 at 10:15
    • Chapter II of the lecture notes: Percolation - phase transition by Kolmogorov's 0-1 law and the monotone coupling technique.

    Lecture 3 - Monday, March 8 at 10:15
    • Chapter III of the lecture notes: Law of iterated logarithm for random walks, Borel-Cantelli lemmas.

    Lecture 4 - Wednesday, March 10 at 10:15
    • Chapter IV of the lecture notes: Weak convergence on the real line - equivalent conditions and a few simple example cases.

    Lecture 5 - Monday, March 15 at 10:15
    • Chapter V of the lecture notes: Curie-Weiss model - thermodynamic potentials as large deviation rates

    Lecture 6 - Wednesday, March 17 at 10:15
    • Chapter VI and Appendix H of the lecture notes: Weak convergence on metric spaces

    Lecture 7 - Monday, March 22 at 10:15
    • Chapter VII and Appendix H of the lecture notes: Compactness, tightness and Prokhorov's theorem

    Lecture 8 - Wednesday, March 24 at 10:15
    • Chapter VIII and Appendix H of the lecture notes: Brownian motion as the scaling limit of random walks

    Lecture 9 - Monday, March 29 at 10:15
    • Chapter IX of the lecture notes: Ising model - correlation inequalities

    Lecture 10 - Wednesday, March 31 at 10:15

    Lecture 11 - Tuesday, April 6 at 10:15

    Lecture 12 - Wednesday, April 7 at 10:15




◄ Previous section
Assignments
Next section ►
Lecture recordings