Analysis of Boolean Functions
Autor Ryan O'Donnellen Limba Engleză Hardback – 4 iun 2014
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Specificații
ISBN-13: 9781107038325
ISBN-10: 1107038324
Pagini: 444
Ilustrații: 13 b/w illus. 450 exercises
Dimensiuni: 152 x 229 x 25 mm
Greutate: 0.76 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
ISBN-10: 1107038324
Pagini: 444
Ilustrații: 13 b/w illus. 450 exercises
Dimensiuni: 152 x 229 x 25 mm
Greutate: 0.76 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
Cuprins
1. Boolean functions and the Fourier expansion; 2. Basic concepts and social choice; 3. Spectral structure and learning; 4. DNF formulas and small-depth circuits; 5. Majority and threshold functions; 6. Pseudorandomness and F2-polynomials; 7. Property testing, PCPPs, and CSPs; 8. Generalized domains; 9. Basics of hypercontractivity; 10. Advanced hypercontractivity; 11. Gaussian space and invariance principles.
Recenzii
'The applications of the ideas in this book are plentiful and diverse, and O'Donnell does an excellent job of leading the reader from one viewpoint to the next. I found it especially enjoyable to see theorems that I'm personally familiar with as a cryptographer, such as the Goldreich–Levin theorem, placed alongside other things I didn't know as well, like Arrow's theorem from social choice - with everything woven into a single, consistent story. I suspect other 'fresh readers' will similarly find parts of this book that they recognize, and others they don't. The relationships exposed between these ideas should be of interest to everyone. Altogether, I highly recommend that you take a glance at Analysis of Boolean Functions.' Daniel Apon, SIGACT News
'This 423-page book is a rich source of material presented in an attractive form. Each chapter highlights one main result which provides a focus and incentive for the reader to go to the end of the chapter.' Martin C. Cooper, MathSciNet
'This 423-page book is a rich source of material presented in an attractive form. Each chapter highlights one main result which provides a focus and incentive for the reader to go to the end of the chapter.' Martin C. Cooper, MathSciNet
Notă biografică
Descriere
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.