Oded Schramm's contributions to noise sensitivity

Details Oded Schramm's contributions to noise sensitivity Oded Schramm's contributions to noise sensitivity

2010-07-02

arxiv.org/abs/1007.0422v3

Annals of Probability 2011, Vol. 39, No. 5, 1702-1767

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/10-AOP582 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of

Scientific paper

10.1214/10-AOP582

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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