My books

An Immersion into the Heart of AI (french version below!)

Artificial intelligence has entered our lives at an incredible speed. In just a few years, it has moved from research labs to everyday objects, transforming the way we work, consume, travel, learn, communicate.

Beyond its technical achievements, another reality emerges: a technology that deeply challenges our relationship with the world and with our own humanity.

This book offers an accessible journey into the heart of AI. Without jargon, it explains its core principles, traces its history, and highlights both its strengths and its limitations. Illustrated with concrete examples and real-world applications, it also sheds light on its darker sides, such as biases, dependencies, invisible workers, and the risks it poses to democracy and the environment.

Une immersion au coeur de l'IA : entre promesses et inquiètudes (in french)

L’intelligence artificielle s’est immiscée dans nos vies à une vitesse fulgurante. En quelques années, elle est passée des laboratoires de recherche aux objets du quotidien, transformant nos manières de travailler, de consommer, de nous déplacer, d’apprendre, de communiquer.

Au-delà des prouesses techniques, une autre réalité s’impose : celle d’une technologie qui interroge en profondeur notre rapport au monde et à notre humanité.

Ce livre propose une immersion accessible au cœur de l’IA. Sans jargon, il en explique les principes, retrace l’histoire, met en lumière ses forces comme ses limites. Illustré d’exemples concrets et d’applications actuelles, il explore aussi les zones d’ombre : biais, dépendances, travailleurs invisibles, risques pour la démocratie ou l’environnement.

Normal Approximations with Malliavin calculus: from Stein's method to universality

With Giovanni Peccati, we wrote in 2012 a book entitled "Normal Approximations with Malliavin Calculus: from Stein's Method to Universality" which provides an introduction to both Stein's method and Malliavin calculus, from the point of view of normal approximations on a Gaussian space. It is published by Cambridge University Press in the series ``Cambridge Tracts in Mathematics''.
This book won the 2015 FNR Award for outstanding scientific publication.

Selected Aspects of Fractional Brownian Motion

Fractional Brownian motion is a stochastic process that deviates significantly from Brownian motion and semimartingales, and others classically used in probability theory. In 2012, I wrote a book on selected aspects of fractional Brownian motion. You can download the table of contents here. Note that, with a few exceptions, every stated result is proven.