Lectures on noise sensitivity and percolation

2011/02/28 by Christophe Garban, Garban, Christophe, Jeffrey E. Steif +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #Classical Analysis and ODEs (math.CA) #Computational Complexity (cs.CC) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cs.CC #cs.DM #math-ph #math.CA #math.MP #math.PR

paper · pdf · doi:10.48550/arxiv.1102.5761

151 pages, 29 figures, minor corrections

openalex publication_date 2011/02/28 · arxiv created 2012/05/29 · arxiv updated 2012/05/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present text provides the lecture notes for the course "noise sensitivity and percolation" given at the 2010 Clay Summer School in Buzios, Brazil.

Citations

• The influence of variables in product spaces
• Influences in Product Spaces: KKL and BKKKL Revisited
• Logarithmic Sobolev Inequalities

Cited by

• Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow
• Noise sensitivity of crossings for high temperature Ising model
• Near-existence of bigeodesics in dynamical exponential last passage percolation

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