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Invariance Principle on the Slice

Authors Yuval Filmus, Guy Kindler, Elchanan Mossel, Karl Wimmer



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Yuval Filmus
Guy Kindler
Elchanan Mossel
Karl Wimmer

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Yuval Filmus, Guy Kindler, Elchanan Mossel, and Karl Wimmer. Invariance Principle on the Slice. In 31st Conference on Computational Complexity (CCC 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 50, pp. 15:1-15:10, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2016)
https://doi.org/10.4230/LIPIcs.CCC.2016.15

Abstract

We prove a non-linear invariance principle for the slice. As applications, we prove versions of Majority is Stablest, Bourgain's tail theorem, and the Kindler-Safra theorem for the slice. From the latter we deduce a stability version of the t-intersecting Erdos-Ko-Rado theorem.
Keywords
  • analysis of boolean functions
  • invariance principle
  • Johnson association scheme
  • the slice

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