Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
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
(Zhejiang University, China).
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification