Hypercontractivity of simple random variables
By Pawel Wolff. 2007
58 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/40322f6ee334d86a862ccf9bbb1bc33f62851396
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Citations in the corpus
- Analysis in Banach Spaces (2023, background): “8 Notes 475 Zwart [2012] in a Hilbert space setting.”
- Gaussian Bounds for Noise Correlation of Functions (2007, background): “Theorem 3.17 [33] (Wolff) Let X be any mean-zero random variable on a finite probability space in which the minimum nonzero probability of any atom is α ≤ 1/2.”
- Decidability of Non-interactive Simulation of Joint Distributions (2016, background): “ Inf i(P) 2.5 Hypercontractivity and moment bounds The following moment bound for low-degree polynomials appears as Theorem 2.7 in [AH11], which in turn follows from hypercontractivity. Theorem 2.13 ([Wol07]). Let (A,µ) be a finite probability space in which the minimum non-zero probability is α(µ) ≤”
- Noise Stability of Functions with Low Influences: Invariance and Optimality II - The Non Reversible Case (2007, background): “The optimal hypercontractivity constants for general finite spaces was recently determined by Wolff [25] (see also [23]): Theorem 3.”