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Noise sensitivity and exclusion sensitivity applied to discrete and continuum percolation

We will start by explaining some of the basics of noise sensitivity and continue by illustrating these with a few easy examples. We will briefly discuss some fundamental tools and concepts (such as Fourier-Walsh decomposition and influence). We will then introduce the more recent notion of exclusion sensitivity and compare it to noise sensitivity. As an application we will consider percolation models both in discrete and continuum settings.