On the Proof of Universality for Orthogonal and Symplectic Ensembles in Random Matrix Theory
On the Proof of Universality for Orthogonal and Symplectic Ensembles in Random Matrix Theory
复制标题
关于随机矩阵理论中正交系综和辛系综的普遍性证明
DOI：
10.1007/s10955-007-9277-1
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发表时间：
2006
影响因子：
1.6
通讯作者：
Dimitri Gioev
中科院分区：
文献类型：
--
作者：
O. Costin;P. Deift;Dimitri Gioev
本文给出了P. Deift和D. Gioev，Universality in Random Matrix Theory for Orthogonal and Symplectic Ensembles。IMRP Int. Math. Res. Pap. (in Press），这对于证明体元中的普适性是至关重要的。Gioev，Universality in Random Matrix Theory for Orthogonal and Symplectic Ensembles。IMRP Int. Math. Res. Pap. (in Press）以及在边缘处P. Deift和D. Gioev，{Universality at the edge of the spectrum for unitary，orthogonal and smplectic ensembles of random matrices. Comm. Pure Appl. Math.（in press）for orthogonal and辛ensembles of random matrices.作为副产品，这个结果给出了对数气体的β= 1，2，4配分函数的一定比率的渐近信息。
We give a streamlined proof of a quantitative version of a result from P. Deift and D. Gioev, Universality in Random Matrix Theory for Orthogonal and Symplectic Ensembles. IMRP Int. Math. Res. Pap. (in press) which is crucial for the proof of universality in the bulk P. Deift and D. Gioev, Universality in Random Matrix Theory for Orthogonal and Symplectic Ensembles. IMRP Int. Math. Res. Pap. (in press) and also at the edge P. Deift and D. Gioev, {Universality at the edge of the spectrum for unitary, orthogonal and symplectic ensembles of random matrices. Comm. Pure Appl. Math. (in press) for orthogonal and symplectic ensembles of random matrices. As a byproduct, this result gives asymptotic information on a certain ratio of the β=1,2,4 partition functions for log gases.
影响因子：
1.6
作者：
P. Deift;D. Gioev;T. Kriecherbauer;M. Vanlessen
通讯作者：
M. Vanlessen