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Abstract Coupling techniques provide a powerful method for analyzing the long-time behavior of Markov processes and associated PDEs. The aim of this talk is to show how it is possible to construct and analyze different couplings between optimal …

Abstract Access to water is essential for satisfying domestic and sanitation needs, for health and access to food, and for guaranteeing the right to life. Against this backdrop, international human rights law is increasingly being called upon to underpin …

Neural vectors have no reason to be static - their direction and amplitude can change over time. In this lecture, we will illustrate the concept of neural trajectory, i.e. the idea that, over time, the neural vector that codes for a representation can …

Three " Bactrian bowls " illustrating the theme of Alexander in various variations : local tradition with the Vereino (Hermitage) bowl depicting Alexander's hunts adapted to Sogdian realities ; Alexander-Dionysus with the Al-Sabah bowl alluding to …

Abstract Challenges are proposed by public services, companies or scientific laboratories, and are based on real-life problems. Participants submit the results of their classification or prediction algorithms, which are then put into competition via the …

Abstract The curse of high dimensionality results from the Combinatorics explosion of the set of possible models when there is a large number of variables. This explosion is avoided by introducing constraints on probabilistic models. Markov chain and …

Abstract Until the 20th   century, it seemed impossible to think about the relationship between art and money, the literati being those who refuse to alienate their pens. For a long time, the arts and letters constituted a world apart, opposed to …

Abstract Paul Valéry's lectures at the Collège de France were published by combining preparatory drafts of the lessons with verbatim transcriptions taken by a stenotypist paid by Gaston Gallimard, who had a very serious plan to publish them. Maurice …

Abstract This is a joint work with Amol Aggarwal and Patrick Lopatto. Lévy matrices are symmetric random matrices whose entry distributions lie in the domain of attraction of an α-stable law. For α<1, predictions from the physics literature suggest that …

The accounts of Commerson, Bougainville and Cook have engraved in the European imagination an idyllic image of the stay in Tahiti, a veritable paradise on earth, and of the hospitality offered by Tahitian men and women. However, a careful reading of the …

Marriage is the moment when a new nuclear family is formed. We'll look at the choice of spouse and the accompanying negotiations, followed by the rites and ceremonies surrounding marriage. Finally, we'll outline life within the couple, sometimes …

To solve the mean-field theory of spin glasses, Giorgio Parisi used the replica method, which still retains its share of mystery. To understand its content, and find an alternative solution that was more physical and better mathematically controllable , …

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Abstract In the years 2000, a theory of boundaries from dense graphs to " continuous " graphs (also called " graphons ") emerged, initiated in particular by Lovasz. This theory has been extended to random dense graphs (under the impetus of Diaconis and …