| Les deux révisions précédentes Révision précédente | Prochaine révisionLes deux révisions suivantes |
| mega:seminaire [2018/12/04 17:28] – Laure DUMAZ | mega:seminaire [2018/12/13 13:57] – [MAJ Prochaine séance] 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]]** ////\\ |
| * 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]]** // //\\ |
| ////\\ | |
| ===== Calendrier 2018-2019 ===== | ===== Calendrier 2018-2019 ===== |
| * Vendredi **12 Octobre**, salle 201 | * Vendredi **12 Octobre**, salle 201 |