| Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente Prochaine révisionLes deux révisions suivantes |
| mega:seminaire [2018/12/04 17:28] – Laure DUMAZ | mega:seminaire [2019/01/07 14:20] – titre et résum Holcomb male |
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| {{ :mega:20141121_153039.jpg?400 |}} | {{ :mega:20141121_153039.jpg?400 |}} |
| ===== Prochaine séance ===== | ===== Prochaine séance ===== |
| * Vendredi **7 Décembre, salle 201** | * Vendredi **11 Janvier, salle 01** |
| * 10h30-12h00: mini cours par **[[http://www.lpsm.paris/pageperso/lin/|Shen Lin]]** //Mesures harmoniques sur les frontières d'arbres aléatoires//\\ We will discuss some fractal properties of the harmonic measure on the infinite boundary of a supercritical Galton-Watson tree, which is defined as the law of loop-erased trajectory of a transient random walk on the tree. When the underlying tree becomes a critical Galton-Watson tree conditioned to have large height, we will also consider the exit distribution of a finite ball by simple random walk on the tree.\\ | * 10h30-12h00: mini cours par **[[https://math.nyu.edu/~bourgade/|Paul Bourgade]]** //Équations de boucles et champs log-corrélés.// Les équations de boucles permettent de comprendre l'émergence de champs gaussiens en matrices aléatoires. Dans deux exemples concrets, je prouverai: le théorème de Szegö fort pour les matrices unitaires ; les moments du polynôme caractéristique de matrices de Ginibre.\\ |
| * 14h00-15h00: **[[https://www.math.toronto.edu/~marcin/|Marcin Kotowski]]** //Tracy-Widom fluctuations in 2D random Schrödinger operators//\\ Résumé : We construct a random Schrödinger operator on a subset of the hexagonal lattice and study its smallest positive eigenvalues. Using an asymptotic mapping, we relate them to the partition function of the directed polymer model on the square lattice. For a specific choice of the edge weight distribution, we obtain a model known as the log-Gamma polymer, which is integrable. Recent results about the fluctuations of free energy for the log-Gamma polymer allow us to prove Tracy-Widom type fluctuations for the smallest eigenvalue of the random Schrödinger operator. Joint with Balint Virag.\\ | * 14h00-15h00: **[[http://google.com/search?q=Slim+Kammoun+math|Slim Kammoun]]** //Universality for random permutations.// It is known from the work of Baik, Deift and Johansson (1999) that we have the Tracy-Widom fluctuations for the longest increasing subsequence of uniform permutations. We prove that this result holds also in the case of the Ewens distribution and more generally for a class of random permutations with distribution invariant under conjugation. Moreover, we obtain the convergence of the first components of the associated Young tableaux to the Airy Ensemble as well as the global convergence to the Vershik-Kerov-Logan-Shepp shape. The talk will be boxed on the paper //Monotonous subsequences and the descent process of invariant random permutations//.\\ |
| * 15h30-16h30: **[[http://igor-kortchemski.perso.math.cnrs.fr/|Igor Kortchemski]]** //The geometry of random minimal factorizations of a long cycle//\\ Résumé : We will be interested in the structure of random typical minimal factorizations of the n-cycle into transpositions, which are factorizations of (1,...,n) as a product of n-1 transpositions. This is joint work with Valentin Féray.\\ | * 15h30-16h30: **[[https://people.kth.se/~holcomb/|Diane Holcomb]]** //On the centered maximum of the Sine beta process.// There has been a great deal or recent work on the asymptotics of the maximum of characteristic polynomials or random matrices. Other recent work studies the analogous result for log-correlated Gaussian fields. Here we will discuss a maximum result for the centered counting function of the Sine beta process. The Sine beta process arises as the local limit in the bulk of a beta-ensemble, and was originally described as the limit of a generalization of the Gaussian Unitary Ensemble by Valko and Virag with an equivalent process identified as a limit of the circular beta ensembles by Killip and Stoiciu. A brief introduction to the Sine process as well as some ideas from the proof of the maximum will be covered. This talk is on joint work with Elliot Paquette.\\ |
| ////\\ | |
| ===== Calendrier 2018-2019 ===== | ===== Calendrier 2018-2019 ===== |
| * Vendredi **12 Octobre**, salle 201 | * Vendredi **12 Octobre**, salle 201 |
| * Vendredi **11 Janvier**, salle 01 | * Vendredi **11 Janvier**, salle 01 |
| * 10h30-12h00: mini cours par **[[https://math.nyu.edu/~bourgade/|Paul Bourgade]]** ////\\ | * 10h30-12h00: mini cours par **[[https://math.nyu.edu/~bourgade/|Paul Bourgade]]** ////\\ |
| * 14h00-15h00: **[[http://google.com/search?q=Slim+Kammoun+math|Slim Kammoun]]** ////\\ | * 14h00-15h00: **[[http://google.com/search?q=Slim+Kammoun+math|Slim Kammoun]]** //Universality for random permutations//\\ |
| * 15h30-16h30: **[[https://people.kth.se/~holcomb/|Diane Holcomb]]** // //\\ | * 15h30-16h30: **[[https://people.kth.se/~holcomb/|Diane Holcomb]]** // //\\ |
| * Vendredi **8 Février**, salle 201 | * Vendredi **8 Février**, salle 201 |