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    Noise Sensitivity of Boolean Functions and Percolation. Christophe Garban

    Noise Sensitivity of Boolean Functions and Percolation


      Book Details:

    • Author: Christophe Garban
    • Published Date: 31 Dec 2014
    • Publisher: CAMBRIDGE UNIVERSITY PRESS
    • Original Languages: English
    • Book Format: Paperback::222 pages
    • ISBN10: 1107432553
    • File size: 43 Mb
    • Dimension: 151x 230x 14mm::330g

    • Download Link: Noise Sensitivity of Boolean Functions and Percolation


    Noise Sensitivity of Boolean Functions and Applications to Percolation tight noise sensitivity estimates for boolean halfspaces, monotone functions; hardness with Section 7 where we prove that the percolation crossing events are noise sensitive. We do that Majority Boolean functions has concerning noise sensitivity. Noise Sensitivity of Boolean Functions and Percolation: Christophe Garban, Jeffrey E Steif: Libros. 14th Northwest Probability Seminar - Boolean Functions, Noise Sensitivity, Influences and Percolation Noise sensitivity concerns the phenomenon that certain types of events (Boolean functions) are sensitive to small noise. This topic is related to the notion of influence, which is a way to specify the importance of a particular Request PDF | On Dec 1, 2014, Christophe Garban and others published Noise sensitivity of Boolean functions and Percolation | Find, read and cite all the research you need on ResearchGate We use cookies to make interactions with our website easy and meaningful, to better understand the use of our services, and to tailor advertising. Noise sensitivity of Boolean functions and applications to percolation. Authors On the other hand, weighted majority functions are shown to be noise-stable. Noise Sensitivity of Boolean Functions and Percolation ISBN 9781107432550 Garban, Christophe/ Steif, Jeffrey E. In 1998, Benjamini, Kalai, and Schramm introduced the fruitful concept of noise sensitivity of Boolean functions. Their main motivation was to study the behavior Amazon Noise Sensitivity of Boolean Functions and Percolation (Institute of Mathematical Statistics Textbooks) Amazon Some topics in the Analysis of Boolean functions, Ryan O'Donnell Noise sensitivity of Boolean functions with applications to percolation, Itai Benjamini, The noise sensitivity of a Boolean function was introduced in 1999 in a seminal paper of Benjamini, Kalai and Schramm [5], and has since functions and its applications to percolation have been studied Benjamini in [15]. In the current paper we extend the results of [14] in the context of more relaxed assumptions on the input choices and noise, and determine both upper sensitivity of a Boolean function f: Several necessary and sufficient conditions for noise sensitivity and stability are given. Consider, for example, bond percolation on an $n+1$ Percolation is one of the simplest and nicest models in probability The study of noise sensitivity and noise stability for Boolean functions was initiated in [4]. 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 Noise Sensitivity of Boolean Functions and Percolation Date Tuesday, October 14 Time 5 pm Location 507 Math Abstract: Noise sensitivity was defined in a paper Benjamini, Kalai, andSchramm (1999). A closely related notion was considered Tsirelson and Vershik. I will describe the notion of noise sensitivity of Boolean func- Noise Sensitivity of Boolean Functions and Applications to Percolation. Several necessary and sufficient conditions for noise sensitivity and stability are given. Consider, for example, bond percolation on an n+1 n grid. To get Noise Sensitivity of Boolean Functions and Percolation (Paperback) PDF, remember to click the hyperlink beneath and download the document or have





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