Abstract
This chapter gives some techniques for proving superconcentration and chaos in discrete problems that fall outside the Gaussian setting. The method is based mainly on the so-called “independent flips” semigroup and associated hypercontractive inequalities, such as the Bonami-Beckner inequality, and the equivalence of superconcentration and chaos in the discrete setting.
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Chatterjee, S. (2014). Independent Flips. In: Superconcentration and Related Topics. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-03886-5_7
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DOI: https://doi.org/10.1007/978-3-319-03886-5_7
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-03885-8
Online ISBN: 978-3-319-03886-5
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