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Noise Sensitivity of Boolean Functions and Percolation
Af: Jeffrey E. Steif, Christophe Garban
Engelsk
Bogcover for Noise Sensitivity of Boolean Functions and Percolation af Jeffrey E. Steif, Christophe Garban, 9781107076433
Specifikationer
Sprog:
Engelsk
Sider:
222
ISBN-13:
9781107076433
Indbinding:
Hardback
ISBN-10:
1107076439
Kategori:
Udg. Dato:
22 dec 2014
Størrelse i cm:
15,9 x 23,5 x 1,7
Forlag:
Serie:
Oplagsdato:
22 dec 2014
Forfatter(e):
Genre:

Noise Sensitivity of Boolean Functions and Percolation

Af: Jeffrey E. Steif, Christophe Garban
Engelsk
Hardback 2014
Format:
Hardback
Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
222
ISBN-13:
9781107076433
Indbinding:
Hardback
ISBN-10:
1107076439
Kategori:
Udg. Dato:
22 dec 2014
Størrelse i cm:
15,9 x 23,5 x 1,7
Forlag:
Serie:
Oplagsdato:
22 dec 2014
Forfatter(e):
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