Analysis of Boolean Functions

by Ryan O'Donnell

Fall 2012 course at Carnegie Mellon
Pre-order the book from Cambridge University Press
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Acknowledgments

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 (8)

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

Ryan O'Donnell: Merci!
Patrick: I ordered the book off of Amazon and I must say I'm disappoi...
Clément Canonne: Hi, In 11.49 (a): it looks like there is an extra "at" in t...
Ryan O'Donnell: Thanks!
Ryan O'Donnell: Yeah, Chapter 13 doesn't exist. :( On the bright side, the ...
Kirill Elagin: “In Chapter 13 we will show” =(
Kirill Elagin: Typo (examples 22, bullet 2): “task is to fund”.

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