Technion, IEM faculty - Seminar in Probability and Stochastic Processes Speaker: Leonid Bogachev (Leeds, UK) Title: Gaussian fluctuations for Plancherel partitions Date: 12/04/2011 Time: 11:30 Place: Hashmal-861 Abstract: <http://ie.technion.ac.il/seminar_files/1301237501_B.pdf> Or just see it here: The limit shape of Young diagrams under the Plancherel measure was found by Vershik & Kerov (1977) and Logan & Shepp (1977). We obtain a central limit theorem for fluctuations of Young diagrams in the bulk of the partition “spectrum”. More specifically, under a suitable (logarithmic) normalization, the corresponding random process converges (in the FDD sense) to a Gaussian process with independent values. We also discuss a link with an earlier result by Kerov (1993) on the convergence to a generalized Gaussian process. The proof is based on poissonization of the Plancherel measure and an application of a general central limit theorem for determinantal point processes. (Joint work with Zhonggen Su.) --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: <rami@.technion.ac.il>