Lecture 1 (8/27/2007) (Introduction.)

Lecture 2 (8/29/2007) (Distances between probability measures, Integration by parts for the Gaussian measure.)

Lecture 3 (8/31/2007) (First step in Stein's method, basic examples.)

Lecture 4 (9/5/2007) (Proof of Stein's bounds.)

Lecture 5 (9/7/2007) (Proof of Stein's bounds contd.; Introduction to dependency graphs.)

Lecture 6 (9/10/2007) (Dependency graphs contd.; examples.)

Lecture 7 (9/12/2007) (Method of exchangeable pairs; examples.)

Lecture 8 (9/14/2007) (Hoeffding's combinatorial CLT using exchangeable pairs.)

Lecture 9 (9/17/2007) (Hoeffding CLT contd.; other examples.)

Lecture 10 (9/19/2007) (Concentration inequalities; first example: Efron-Stein bound.)

Lecture 11 (9/21/2007) (Concentration in first passage percolation.)

Lecture 12 (9/24/2007) (Stein's method for concentration inequalities.)

Lecture 13 (9/26/2007) (Stein's method for concentration inequalities: Two examples.)

Lecture 14 (9/28/2007) (Introduction to strong embeddings via Stein's method.)

Lecture 15 (10/1/2007) (Introduction to strong embeddings contd.)

Lecture 16 (10/3/2007) (Stein's method for strong embeddings: General plan of attack.)

Lecture 17 (10/5/2007) (Strong embeddings: The main lemma.)

Lecture 18 (10/8/2007) (Tusnády's lemma.)

Lecture 19 (10/10/2007) (Proof of KMT contd.)

Lecture 20 (10/12/2007) (Proof of KMT finished.)

Lecture 21 (10/15/2007) (Introduction to spin glasses: The Sherrington-Kirkpatrick model.)

Lecture 22 (10/17/2007) (Concentration of the partition function.)

Lecture 23 (10/19/2007) (Guerra's replica-symmetric upper bound.)

Lecture 24 (10/22/2007) (Concentration of the overlap at high temperature.)

Lecture 25 (10/24/2007) (Annealed CLTs in the S-K model via Stein's method.)

Lecture 26 (10/26/2007) (Annealed CLTs contd.)

Lecture 27 (10/29/2007) (Quenched CLTs.)

Lecture 28 (10/31/2007) (TAP equations via Stein's method.)

Lecture 29 (11/2/2007) (SK model at the critical temperature.)

Lecture 30 (11/5/2007) (A generalization of the Gaussian Poincaré inequality.)

Lecture 31 (11/7/2007) (Second order Poincaré inequalities.)

Lecture 32 (11/9/2007) (CLT for linear statistics of eigenvalues.)

Lecture 33 (11/14/2007) (Zero bias couplings.)

Lecture 34 (11/16/2007) (Size bias couplings. Introduction to interaction graphs.)

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