A Counterexample to the "Majority is Least Stable" Conjecture

Vishesh Jain

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arXiv · 1703.07657

A Counterexample to the "Majority is Least Stable" Conjecture

Vishesh Jain

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Abstract

We exhibit a linear threshold function in 5 variables with strictly smaller noise stability (for small values of the correlation parameter) than the majority function on 5 variables, thereby providing a counterexample to the "Majority is Least Stable" Conjecture of Benjamini, Kalai, and Schramm.

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Vishesh Jain. 2017-03-22. A Counterexample to the "Majority is Least Stable" Conjecture. https://arxiv.org/abs/1703.07657

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