## The Annals of Probability

- Ann. Probab.
- Volume 39, Number 5 (2011), 1702-1767.

### Oded Schramm’s contributions to noise sensitivity

**Full-text: Open access**

#### 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.

#### Article information

**Source**

Ann. Probab. Volume 39, Number 5 (2011), 1702-1767.

**Dates**

First available in Project Euclid: 18 October 2011

**Permanent link to this document**

http://projecteuclid.org/euclid.aop/1318940780

**Digital Object Identifier**

doi:10.1214/10-AOP582

**Mathematical Reviews number (MathSciNet)**

MR2884872

**Zentralblatt MATH identifier**

1252.82090

**Subjects**

Primary: 82C43: Time-dependent percolation [See also 60K35] 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 42B05: Fourier series and coefficients

**Keywords**

Percolation noise sensitivity discrete Fourier analysis hypercontractivity randomized algorithms SLE processes critical exponents first-passage percolation sub-Gaussian fluctuations

#### Citation

Garban, Christophe. Oded Schramm’s contributions to noise sensitivity. Ann. Probab. 39 (2011), no. 5, 1702--1767. doi:10.1214/10-AOP582. http://projecteuclid.org/euclid.aop/1318940780.

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