Noise Sensitivity of Boolean Functions and Percolation: 5 (Institute of Mathematical Statistics Textbooks, Series Number 5) - Tapa dura

Libro 3 de 15: Institute of Mathematical Statistics Textbooks

Garban, Christophe; Steif, Jeffrey E.

 
9781107076433: Noise Sensitivity of Boolean Functions and Percolation: 5 (Institute of Mathematical Statistics Textbooks, Series Number 5)
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ISBN 10: 1107076439 ISBN 13: 9781107076433
Editorial: Cambridge University Press, 2014

Sinopsis

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.

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Acerca de los autores

Christophe Garban is a professor of mathematics at Université Lyon I, France.

Jeffrey Steif is a Professor of Mathematical Sciences at Chalmers University of Technology, Gothenburg, Sweden.

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Editorial
Cambridge University Press
Año de publicación
2014
Idioma
Inglés
ISBN 10 
1107076439
ISBN 13 
9781107076433
Encuadernación
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Número de edición
1
Número de páginas
222
Contacto del fabricante
Cambridge University Press
https://www.cambridge.org/

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Otras ediciones populares con el mismo título

9781107432550: Noise Sensitivity of Boolean Functions and Percolation: 5 (Institute of Mathematical Statistics Textbooks, Series Number 5)

Edición Destacada

ISBN 10:  1107432553 ISBN 13:  9781107432550
Editorial: Cambridge University Press, 2014
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