Please use this identifier to cite or link to this item:
|Title:||Statistics of real eigenvalues in Ginibre's Ensemble of random real matrices|
|Keywords:||Mathematical physics;Disordered systems and neural networks;Exactly solvable and integrable systems|
|Publisher:||The American Physical Society|
|Citation:||Physical Review Letters 95, Article no: 230201, Nov 2005|
|Abstract:||The integrable structure of Ginibre's orthogonal ensemble of random matrices is looked at through the prism of the probability pn,k to find exactly k real eigenvalues in the spectrum of an n×n real asymmetric Gaussian random matrix. The exact solution for the probability function pn,k is presented, and its remarkable connection to the theory of symmetric functions is revealed. An extension of the Dyson integration theorem is a key ingredient of the theory presented.|
|Appears in Collections:||Dept of Mathematics Research Papers|
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.