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Noise Sensitivity Boolean Functions Percolation Christophe Gar… 9781107432550 VG

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Item specifics

Condition
Very Good
A book that has been read and does not look new, but is in excellent condition. No obvious damage to the book cover, with the dust jacket (if applicable) included for hard covers. No missing or damaged pages, no creases or tears, no underlining or highlighting of text, and no writing in the margins. Some identifying marks on the inside cover, but this is minimal. Very little wear and tear. See the seller’s listing for full details and description of any imperfections. See all condition definitionsopens in a new window or tab
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“Unused and unread, cosmetic imperfections such as scuffs, creases or knocks. Stamped 'damaged' by ...
Title
Noise Sensitivity of Boolean Functions and Percolation (Institute
ISBN
1107432553
Pages
222
Publication Name
Noise Sensitivity of Boolean Functions and Percolation
Publisher
Cambridge University Press
Subject
Mathematics
Publication Year
2014
Series
Institute of Mathematical Statistics Textbooks
Type
Textbook
Format
Paperback
Language
English
Item Height
230 mm
Author
Christophe Garban, Jeffrey E. Steif
Item Weight
330 g
Item Width
151 mm
Number of Pages
222 Pages

About this product

Product Information

This is a graduate-level introduction to the theory of Boolean functions, an exciting area lying on the border of probability theory, discrete mathematics, analysis, and theoretical computer science. Certain functions are highly sensitive to noise; this can be seen via Fourier analysis on the hypercube. The key model analyzed in depth is critical percolation on the hexagonal lattice. For this model, the critical exponents, previously determined using the now-famous Schramm-Loewner evolution, appear here in the study of sensitivity behavior. Even for this relatively simple model, beyond the Fourier-analytic set-up, there are three crucially important but distinct approaches: hypercontractivity of operators, connections to randomized algorithms, and viewing the spectrum as a random Cantor set. This book assumes a basic background in probability theory and integration theory. Each chapter ends with exercises, some straightforward, some challenging.

Product Identifiers

Publisher
Cambridge University Press
ISBN-13
9781107432550
eBay Product ID (ePID)
209461745

Product Key Features

Number of Pages
222 Pages
Language
English
Publication Name
Noise Sensitivity of Boolean Functions and Percolation
Publication Year
2014
Subject
Mathematics
Type
Textbook
Author
Christophe Garban, Jeffrey E. Steif
Series
Institute of Mathematical Statistics Textbooks
Format
Paperback

Dimensions

Item Height
230 mm
Item Weight
330 g
Item Width
151 mm

Additional Product Features

Country/Region of Manufacture
United Kingdom
Title_Author
Christophe Garban, Jeffrey E. Steif

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