Statut Confirmé Série COURS Domaines cond-mat Date Vendredi 10 Novembre 2017 Heure 10:00 Institut IPHT Salle Salle Claude Itzykson, Bât. 774 Nom de l'orateur Pierfrancesco Urbani Prenom de l'orateur Addresse email de l'orateur Institution de l'orateur IPhT Titre Statistical physics of glassy systems: tools and applications (1/6) Résumé The complex behavior of a large variety of systems can often be ascribed to the competition of many quasi-optimal equilibria. In these cases metastability deeply affects both the structural and dynamical properties. Glasses are the prototype of such systems, with glassy behavior arising not only in condensed matter but also in a wide variety of fields ranging from optimization to computer science. \par In these lectures I will introduce different kinds of glassy systems and I will describe their fundamental similarities, which emerge from their statistical description. Then I will focus on a representative model, the random perceptron, and I will discuss the main techniques that can be used to solve it. \par These techniques provide a versatile theoretical toolbox that can be applied to several problems such as for example the physics of the jamming transition, its interpretation in the context of constraint satisfaction, as well as the design of new efficient algorithms to solve statistical problems. \\ 1.Introduction to glassy systems: structural glasses and constraint satisfaction problems. \\ 2.The random perceptron model. The replica approach. The replica symmetric solution and phase diagram. \\ 3.Replica symmetry breaking and marginal stability. The full RSB solution of the random perceptron. \\ 4.The jamming transition as a satisfiability threshold; critical exponents. \\ 5.Belief propagation approach and the algorithmic version of the Thouless-Anderson-Palmer equations. \\ Supported by ``Investissements d'Avenir'' LabEx PALM (ANR-10-LABX-0039-PALM) Numéro de preprint arXiv Commentaires https://courses.ipht.cnrs.fr/?q=fr/node/194 Fichiers attachés 2017-2018.pdf (4503344 bytes) 2017_Urbani.pdf (5052625 bytes)

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