Download e-book for kindle: Analysis of Boolean Functions by Ryan O'Donnell

By Ryan O'Donnell

ISBN-10: 1107038324

ISBN-13: 9781107038325

Boolean services are maybe the main easy items of research in theoretical computing device technology. additionally they come up in different parts of arithmetic, together with combinatorics, statistical physics, and mathematical social selection. the sector of research of Boolean capabilities seeks to appreciate them through their Fourier remodel and different analytic equipment. this article offers an intensive assessment of the sector, starting with the main uncomplicated definitions and continuing to complicated themes resembling hypercontractivity and isoperimetry. every one bankruptcy incorporates a 'highlight program' comparable to Arrow's theorem from economics, the Goldreich–Levin set of rules from cryptography/learning thought, Håstad's NP-hardness of approximation effects, and 'sharp threshold' theorems for random graph houses. The booklet comprises approximately 450 routines and will be used because the foundation of a one-semester graduate direction. it's going to attract complicated undergraduates, graduate scholars and researchers in laptop technological know-how thought and comparable mathematical fields.

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Ryan O'Donnell's Analysis of Boolean Functions PDF

Boolean features are probably the main uncomplicated gadgets of analysis in theoretical laptop technology. in addition they come up in different components of arithmetic, together with combinatorics, statistical physics, and mathematical social selection. the sector of study of Boolean services seeks to appreciate them through their Fourier rework and different analytic tools.

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Analysis of Boolean Functions by Ryan O'Donnell

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