Analysis of Boolean Functions

by Ryan O'Donnell

23 video lectures from a Fall 2012 course at Carnegie Mellon
Order the book from Cambridge University Press
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Contents

Book (98)
- All chapter sections (59)
- Chapter 01: Boolean functions and the Fourier expansion (8)
- Chapter 02: Basic concepts and social choice (9)
- Chapter 03: Spectral structure and learning (8)
- Chapter 04: DNF formulas and small-depth circuits (8)
- Chapter 05: Majority and threshold functions (9)
- Chapter 06: Pseudorandomness and ${\mathbb F}_2$-polynomials (8)
- Chapter 07: Property testing, PCPPs, and CSPs (7)
- Chapter 08: Generalized domains (10)
- Chapter 09: Basics of hypercontractivity (9)
- Chapter 10: Advanced hypercontractivity (8)
- Chapter 11: Gaussian space and Invariance Principles (11)
- Chapter notes (11)
- Chapter overview (11)
- Deleted scenes (1)
- Exercises (15)
- Some tips (1)
CMU Online Course (23)
Simons Symposium (16)
Uncategorized (13)

Notation

Here is a pdf link to the notation used in the book.

Other Courses

Dinur & Friedgut @ Hebrew U
Hatami @ McGill
Kindler @ Weizmann
Mossel @ Berkeley
O'Donnell @ CMU
Regev @ ENS
Sanders @ Cambridge
van Melkebeek @ Wisconsin

Recent comments

Chin Ho Lee: "(The error will be proportional to \sum_i (||X_i||^3 + ||Y_...
Chin Ho Lee: In Example 42, the first Sel(x_1, x_2, x_2) should be Sel(x_...
jake wellens: In Ex. 31 (b), I think we should replace $1/M$ by something ...
Grigory Yaroslavtsev: Nice, hope you enjoyed your visit :)
Yongzhi: I think that the domain of the function g in Fact 21 should ...
El Manolo: I can't figure out ex.12 b) and c) in the proposed way. Tha...
R.: Is $\rho\neq 0$ required in 1(f)?

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