Having derived strong results about the Fourier spectrum of small DNFs and CNFs, we will now extend to the case of constant-depth circuits. We begin by describing how Håstad applied his Switching Lemma to constant-depth circuits. We then describe some Fourier-theoretic consequences coming from a very early (1989) work in analysis of boolean functions [...]

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Chin Ho Lee: "(The error will be proportional to \sum_i (||X_i||^3 + ||Y_...Avishay Yanay: In the equation of theorem 9, the sum limits are $S\subseteq...Avishay Yanay: #16 What is z^T?F. Mann: The Noise Stability of constant functions have NS=0, as it i...Chin Ho Lee: In Example 42, the first Sel(x_1, x_2, x_2) should be Sel(x_...jake wellens: In Ex. 31 (b), I think we should replace $1/M$ by something ...Grigory Yaroslavtsev: Nice, hope you enjoyed your visit :)