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The DOI matches its Crossref record; 176 of the 176 references it cites were found in a registry or an index.

Analysis of Boolean Functions

Open access
O'Donnell, Ryan·2014·Cambridge University Press eBooks

Abstract

Boolean functions are perhaps the most basic objects of study in theoretical computer science. They also arise in other areas of mathematics, including combinatorics, statistical physics, and mathematical social choice. The field of analysis of Boolean functions seeks to understand them via their Fourier transform and other analytic methods. This text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a 'highlight application' such as Arrow's theorem from economics, the Goldreich–Levin algorithm from cryptography/learning theory, Håstad's NP-hardness of approximation results, and 'sharp threshold' theorems for random graph properties. The book includes roughly 450 exercises and can be used as the basis of a one-semester graduate course. It should appeal to advanced undergraduates, graduate students and researchers in computer science theory and related mathematical fields.

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Metadata

Authors
O'Donnell, R.
Venue
Cambridge University Press eBooks
Published
2014-06-05
OpenAlex
W1891181203
Cited by
932
References
176
FWCI
35.08
Type
book
Language
en
Open access
green

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CoChat. (2026). Citation check: Analysis of Boolean Functions. https://app.cochat.ai/papers/10.1017/cbo9781139814782
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O'Donnell, R. (2014). Analysis of Boolean Functions. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9781139814782

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