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arXiv · 2502.13231

Las funciones booleans y el lema de Bonami

María José González·Paul MacManus·María Cristina Pereyra
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Abstract

In this expository article, we study the relation between the boolean functions and the hypercontractivity theorems of Aline Bonami. We focus on the social choice theory, and present some of the most important results in the area, such as the Friedgut-Kalai-Naor (FKN) and the Kahn-Kalai-Linial (KKL) theorems, and the famous Fourier Entropy/Influence conjecture. -- En este art\'iculo expositivo estudiamos la relaci\'on entre las funciones booleanas y los teoremas de hipercontractividad de Aline Bonami. Nos concentramos en la teor\'ia de la elecci\'on social, y presentamos algunos de los resultados m\'as importantes en el \'area como los teoremas de Friedgut-Kalai-Naor (FKN) y de Kahn-Kalai-Linial (KKL), y la famosa conjetura Entrop\'i{\i}a de Fourier/Influencia.

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María José González, Paul MacManus, María Cristina Pereyra. 2025-02-18. Las funciones booleans y el lema de Bonami. https://arxiv.org/abs/2502.13231

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