| Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente Prochaine révisionLes deux révisions suivantes |
| mega:start [2017/01/20 14:41] – [Année 2016-2017] male | mega:start [2017/04/20 11:57] – [Exposés à venir] male |
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| ====== Matrices et graphes aléatoires (MEGA) ====== | ====== GdT Matrices et graphes aléatoires (MEGA) ====== |
| === Groupe de travail à l'Institut Henri Poincaré === | === Groupe de travail à l'Institut Henri Poincaré === |
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| * L'après-midi, deux exposés de recherche de 55min + 10min de questions. | * L'après-midi, deux exposés de recherche de 55min + 10min de questions. |
| * **Lieu.** Institut Henri Poincaré, Paris. Salle variable. | * **Lieu.** Institut Henri Poincaré, Paris. Salle variable. |
| * **Cadre.** [[mega:gdr|GDR MEGA]] | * **Cadre.** Le GdT est désormais le séminaire officiel associé au [[mega:gdr|GDR MEGA]]. Vous pouvez contacter [[http://www-syscom.univ-mlv.fr/~najim/|Jamal Najim]] pour demander un financement pour vos déplacement au GdT. |
| * **Calendrier.** https://calendar.google.com/calendar/ical/qn5qq7dlmp38sc624s4png8umc%40group.calendar.google.com/public/basic.ics | * **Calendrier.** https://calendar.google.com/calendar/ical/qn5qq7dlmp38sc624s4png8umc%40group.calendar.google.com/public/basic.ics |
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| {{ :mega:20141121_153039.jpg?400 |}} | {{ :mega:20141121_153039.jpg?400 |}} |
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| ===== Exposés à venir ===== | ===== Exposés à venir ===== |
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| * **Organisateurs.** | * **Organisateurs.** |
| * Matinée des thésards : [[http://google.com/search?q=RSéaphaël+Butez+ ceremade|Raphaël Butez]] [[butez@ceremade.dauphine.fr]] | * Matinée des thésards : [[http://google.com/search?q=RSéaphaël+Butez+ ceremade|Raphaël Butez]] [[butez@ceremade.dauphine.fr]] |
| * Exposés de l'après-midi : [[http://www.normalesup.org/~dumaz/|Laure Dumaz]] [[dumaz@ceremade.dauphine.fr]] et [[http://camillemale.com|Camille Male]] [[camille.male@parisdescartes.fr]] | * Exposés de l'après-midi : [[http://www.normalesup.org/~dumaz/|Laure Dumaz]] [[dumaz@ceremade.dauphine.fr]] et [[http://camillemale.com|Camille Male]] [[camille.male@math.u-bordeaux.fr]] |
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| * Vendredi **03 Février 2017**, salle 421 (10h30-12h30) et salle 201 (14h30-17h15) | * Vendredi **5 Mai 2017**, Amphi Hermite le matin, salle 314 l'après midi |
| * 14h30-15h45: **[[http://www.unige.ch/~knowles/|Antti Knowles]]** \\ // Isotropic self-consistent equations for mean-field random matrices// | * 14h30-15h45: **[[https://ion.nechita.net/about/|Ion Nechita]]** \\ // Block-modified random matrices and applications to entanglement theory: // Motivated by the problem of entanglement detection in quantum information theory, we study the spectrum of random matrices which have been modified by a linear map acting on their blocks. More precisely, for a unitarily invariant random matrix acting on a tensor product space, we consider the matrix obtained by acting with a fixed, hermiticity preserving map, on one factor of the tensor product. We discuss the limiting spectral distribution of the modified matrix, in terms of the initial distribution of the random matrix, and of the linear map acting on the blocks. The key ingredient in the proof is a freeness result, with amalgamation over a commutative and finite dimensional algebra related to the linear map. The talk is based on http://arxiv.org/abs/1508.05732 and on some work in progress. |
| * 15h45-17h00: **[[http://www.statslab.cam.ac.uk/~ad814/|Antoine Dahlqvist]]** \\ // Boucle Brownienne unitaire libre// | * 15h45-17h00: **[[https://sites.google.com/site/torbenkruegermath/|Torben Krüger]]** \\ // Local inhomogeneous circular law: // We consider large random matrices X with centered, independent entries which have comparable but not necessarily identical variances. Girko's circular law asserts that the spectrum is supported in a disk and in case of identical variances, the limiting density is uniform. In this special case, the local circular law by Bourgade et. al. shows that the empirical density converges even locally on scales slightly above the typical eigenvalue spacing. In the general case, the limiting density is typically inhomogeneous and it is obtained via solving a system of deterministic equations. Our main result is the local inhomogeneous circular law in the bulk spectrum on the optimal scale for a general variance profile of the entries of X. It is a joint work with Johannes Alt and Laszlo Erdos, IST Austria. |
| * 10h30-12h00: **[[http://www.lpma-paris.fr/pageperso/salez/|Justin Salez]]** \\ // Spectres des grands graphes aléatoires dilués: beaucoup de questions, quelques réponses// | * 10h30-12h00: **[[http://pub.ist.ac.at/~lerdos/|Laszlo Erdös]]** \\ // The matrix Dyson equation in random matrix theory: // The asymptotic density of states for Wigner matrices is computed by solving a simple quadratic scalar equation for its Stieltjes transform. For random matrices with correlated entries, the corresponding equation becomes a self-consistent matrix equation. We present a comprehensive analysis of this matrix Dyson equation which, in particular, leads to the Wigner-Dyson-Mehta spectral universality for large random matrices with a decaying but otherwise general correlation structure. It is a joint work with Oskari Ajanki and Torben Kruger, IST Austria |
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| * Vendredi **03 Mars 2017**, salle 01 (10h30-12h30) et salle 314 (14h30-17h15) | |
| * 14h30-15h45: **[[https://www.math.uni-sb.de/ag/speicher/speicher.html|Roland Speicher]]** | |
| * 15h45-17h00: **[[https://www.math.uni-sb.de/ag/speicher/cebron.html|Guillaume Cebron]]** | |
| * 10h30-12h00: | |
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| * Vendredi **7 ou 14 Avril 2017**, salle 01 | |
| * 14h30-15h45: | |
| * 15h45-17h00: | |
| * 10h30-12h00: | |
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| * Vendredi **5 Mai 2017**, salle 421 | * Vendredi **2 Juin 2017**, salle 421 le matin, salle 314 l'après midi |
| * 14h30-15h45: **[[https://people.kth.se/~schnelli/|Kevin Schnelli]]** | * 14h30-15h45: **[[https://people.kth.se/~schnelli/|Kevin Schnelli]]** |
| * 15h45-17h00: | |
| * 10h30-12h00: | |
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| * Vendredi **2 Juin 2017**, salle 421 | |
| * 14h30-15h45: | |
| * 15h45-17h00: | * 15h45-17h00: |
| * 10h30-12h00: **[[http://www.normalesup.org/~decastro/|Yohann de Castro]]** | * 10h30-12h00: **[[http://www.normalesup.org/~decastro/|Yohann de Castro]]** |
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| ===== Année 2016-2017 ===== | ===== Année 2016-2017 ===== |
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| * 15h45-17h00: **[[https://www.google.fr/#q=alkeos+michail|Alkeos Michail]]** \\ //Perturbations of a large matrix by random matrices// | * 15h45-17h00: **[[https://www.google.fr/#q=alkeos+michail|Alkeos Michail]]** \\ //Perturbations of a large matrix by random matrices// |
| * 10h30-12h00: **[[http://www.normalesup.org/~dumaz/|Laure Dumaz]]** \\ //Tridiagonalisation et limites locales des valeurs propres// | * 10h30-12h00: **[[http://www.normalesup.org/~dumaz/|Laure Dumaz]]** \\ //Tridiagonalisation et limites locales des valeurs propres// |
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| | * Vendredi **03 Février 2017**, salle 421 (10h30-12h30) et salle 201 (14h30-17h15) |
| | * 14h30-15h45: **[[http://www.unige.ch/~knowles/|Antti Knowles]]** \\ // Isotropic self-consistent equations for mean-field random matrices:// |
| | * 15h45-17h00: **[[http://www.statslab.cam.ac.uk/~ad814/|Antoine Dahlqvist]]** \\ // Boucle Brownienne unitaire libre:// |
| | * 10h30-12h00: **[[http://www.lpma-paris.fr/pageperso/salez/|Justin Salez]]** \\ // Spectres des grands graphes aléatoires dilués: beaucoup de questions, quelques réponses:// |
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| | * Vendredi **03 Mars 2017**, salle 01 (10h30-12h30) et salle 314 (14h30-17h15) |
| | * 14h30-15h45: **[[https://www.math.uni-sb.de/ag/speicher/speicher.html|Roland Speicher]]** \\ //Distributions of random matrices and their limit// |
| | * 15h45-17h00: **[[https://www.math.uni-sb.de/ag/speicher/cebron.html|Guillaume Cebron]]** \\ //Matrices unitaires en grande dimension et symétries non-commutatives// |
| | * 10h30-12h00: **[[http://lptms.u-psud.fr/satya-majumdar/|Satya Majumdar]]** \\ // Index distribution for Gaussian random matrices// |
| ===== Année 2015-2016 ===== | ===== Année 2015-2016 ===== |
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