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- Peter J. Forrester, Taro Nagao, G. Honner
- 1998

Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges Abstract For the orthogonal-unitary and symplectic-unitary transitions in random matrix theory ,â€¦ (More)

- Taro Nagao
- 2003

A one-dimensional system of nonintersecting Brownian particles is constructed as the diffusion scaling limit of Fisherâ€™s vicious random walk model. N Brownian particles start from the origin at timeâ€¦ (More)

- Peter J. Forrester, Taro Nagao
- Physical review letters
- 2007

The real Ginibre ensemble consists of random N x N matrices formed from independent and identically distributed standard Gaussian entries. By using the method of skew orthogonal polynomials, theâ€¦ (More)

- Mark A Adler, Peter J. Forrester, Taro Nagao, P. van Moerbeke
- 1999

Skew orthogonal polynomials arise in the calculation of the n-point distribution function for the eigenvalues of ensembles of random matrices with orthogonal or symplectic symmetry. In particular,â€¦ (More)

The partly symmetric real Ginibre ensemble consists of matrices formed as linear combinations of real symmetric and real anti-symmetric Gaussian random matrices. Such matrices typically have bothâ€¦ (More)

The vicious random walker problem on a one dimensional lattice is considered. Many walkers take simultaneous steps on the lattice and the configurations in which two of them arrive at the same siteâ€¦ (More)

Our interest is in the scaled joint distribution associated with k-increasing subsequences for random involutions with a prescribed number of fixed points. We proceed by specifying in terms ofâ€¦ (More)

- Keiji Saito, Taro Nagao
- 2005

Using semiclassical periodic orbit theory for a chaotic system in a weak magnetic field, we obtain the form factor predicted by Pandey and Mehtaâ€™s two matrix model up to the third order. The thirdâ€¦ (More)

- Makoto Katori, Hideki Tanemura, Taro Nagao, Naoaki Komatsuda
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2003

Spatially and temporally inhomogeneous evolution of one-dimensional vicious walkers with wall restriction is studied. We show that its continuum version is equivalent with a noncolliding system ofâ€¦ (More)

In order to clarify the statistical features of complex networks, the spectral density of adjacency matrices has often been investigated. Adopting a static model introduced by Goh, Kahng and Kim, weâ€¦ (More)