Seminar on Special Functions
| 主講者: | 陳麗貞教授(東吳大學) | ||
| 講題: | Asymptotics of Determinants of Certain Hankel Matrices and Toeplitz Matrices | ||
| 時間: | 2010-06-04 (Fri.) 14:30 - 15:30 | ||
| 地點: | 數學所 617 研討室 (台大院區) | ||
| Abstract: | The purpose of this talk is to present the asymptotics of the following
expectation value over the Gaussian Unitary Ensemble(GUE):$
E_{N}(z,t):=\int_{\mathbb{R}^{N}}\left(\prod_{j=1}^{N}\exp\left(-\frac{z^{2}}{2x_{j}^{2}}+\frac{t}{x_{j}}\right)\right)P_{GUE}(x_{1},\dots,x_{N})d^{N}x,$
where$
P_{GUE}(x_{1},\dots,x_{N}):=\frac{1}{Z_{N}N!}\exp\left(-\frac{1}{2}\sum_{j=1}^{N}x_{j}^{2}\right)\prod_{1\le j| | || Close window ||
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