Différences

Ci-dessous, les différences entre deux révisions de la page.

--- mega:seminaire [2020/05/29 16:05] – [Calendrier 2019-2020] Guillaume BARRAQUAND
+++ mega:seminaire [2020/06/02 15:53] – [Prochaine séance] Guillaume BARRAQUAND
@@ Ligne 14: / Ligne 14: @@
 ===== Prochaine séance =====
 Vendredi **5 juin**, en vidéoconférence via BigBlueButton, accessible par ce [[https://webconf.math.cnrs.fr/b/gui-cw9-efz|lien]],
-       * 14h00-15h00:  **[[http://google.com/search?q=Joseph+Najnudel|Joseph Najnudel]]** ////\\
+       * 14h00-15h00:  **[[http://google.com/search?q=Joseph+Najnudel|Joseph Najnudel]]** //  The bead process for beta ensembles.//\\
-Abstract:
+Abstract: The bead process introduced by Boutillier is a countable interlacing of the determinantal sine-kernel point processes. We construct the bead process for general sine beta processes as an infinite dimensional Markov chain whose transition mechanism is explicitly described. We show that this process is the microscopic scaling limit in the bulk of the Hermite beta corner process introduced by Gorin and Shkolnikov, generalizing the process of the minors of the Gaussian unitary and orthogonal ensembles.
        * 15h30-16h30:  **[[https://sites.google.com/view/theoassiotis/publications|Theodoros Assiotis]]** // Joint moments of the characteristic polynomial of a random unitary matrix.//\\
 Abstract: I will speak about the joint moments of the characteristic polynomial of a random unitary matrix and its derivative. In joint work with Jon Keating and Jon Warren, by developing a connection with the Hua-Pickrell measures and using a probabilistic approach, we establish these asymptotics for general real values of the exponents which proves a conjecture from the thesis of Hughes from 2001.