Oded Schramm’s contributions to noise sensitivity

Christophe Garban

doi:10.1214/10-AOP582

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Home > Journals > Ann. Probab. > Volume 39 > Issue 5 > Article

September 2011 Oded Schramm’s contributions to noise sensitivity

Christophe Garban

Ann. Probab. 39(5): 1702-1767 (September 2011). DOI: 10.1214/10-AOP582

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Abstract

We survey in this paper the main contributions of Oded Schramm related to noise sensitivity. We will describe in particular his various works which focused on the “spectral analysis” of critical percolation (and more generally of Boolean functions), his work on the shape-fluctuations of first passage percolation and finally his contributions to the model of dynamical percolation.

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Christophe Garban. "Oded Schramm’s contributions to noise sensitivity." Ann. Probab. 39 (5) 1702 - 1767, September 2011. https://doi.org/10.1214/10-AOP582

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Published: September 2011

First available in Project Euclid: 18 October 2011

zbMATH: 1252.82090

MathSciNet: MR2884872

Digital Object Identifier: 10.1214/10-AOP582

Subjects:

Primary: 42B05 , 60K35 , 82C43

Keywords: Critical exponents , discrete Fourier analysis , First-passage percolation , hypercontractivity , Noise sensitivity , percolation , randomized algorithms , SLE processes , sub-Gaussian fluctuations

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