MS-E1602 - Large Random Systems D, 01.03.2021-07.04.2021
Kurssiasetusten perusteella kurssi on päättynyt 07.04.2021 Etsi kursseja: MS-E1602
Osion kuvaus
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Lecture 1: Recurrence and transience of random walks
(The recording of the first half of the zoom-lecture was not successful, so course arrangements and overview are unfortunately missing here. These overview slides are an account of more or less what was discussed in the missing half.)
Lecture 2: Percolation
Lecture 3: Law of iterated logarithm for random walks
Lecture 4: Weak convergence on the real line
Lecture 5: Curie-Weiss model
Lecture 6: Weak convergence in metric spaces
Lecture 7: Tightness and Prokhorov's theorem
Lecture 8: Brownian motion and Donsker's theorem
Lecture 9: Ising model - correlation inequalities
Lecture 10: Ising model - infinite volume limits