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- W4387160147 abstract "Let P be a polynomial of degree d in independent Bernoulli random variables which has zero mean and unit variance. The Bonami hypercontractivity bound implies that the probability that $$|P| > t$$ decays exponentially in $$t^{2/d}$$ . Confirming a conjecture of Keller and Klein, we prove a local version of this bound, providing an upper bound on the difference between the $$e^{-r}$$ and the $$e^{-r-1}$$ quantiles of P." @default.
- W4387160147 created "2023-09-30" @default.
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- W4387160147 date "2023-01-01" @default.
- W4387160147 modified "2023-10-17" @default.
- W4387160147 title "Local Tail Bounds for Polynomials on the Discrete Cube" @default.
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- W4387160147 doi "https://doi.org/10.1007/978-3-031-26300-2_7" @default.
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