#### Filter Results:

- Full text PDF available (11)

#### Publication Year

2003

2013

- This year (0)
- Last 5 years (0)
- Last 10 years (8)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Yuji Kodama, V. U. Pierce
- 2007

The (semi-infinite) Pfaff lattice was introduced by Adler and van Moerbeke [2] to describe the partition functions for the random matrix models of GOE and GSE type. The partition functions of those… (More)

In this paper we derive a hierarchy of differential equations which uniquely determine the coefficients in the asymptotic expansion, for large N , of the logarithm of the partition function of N × N… (More)

- Yuji Kodama, V. U. Pierce, Fei-Ran Tian
- SIAM J. Math. Analysis
- 2008

We study the Whitham equations for the defocusing complex modified KdV (mKdV) equation. These Whitham equations are quasilinear hyperbolic equations and they describe the averaged dynamics of the… (More)

- Yuji Kodama, V. U. Pierce
- 2009

It is well-known that the partition function of the unitary ensembles of random matrices is given by a τ -function of the Toda lattice hierarchy and those of the orthogonal and symplectic ensembles… (More)

- Yuji Kodama, V. U. Pierce
- 2008

Random Hermitian matrices with a source term arise, for instance, in the study of non-intersecting Brownian walkers [1, 20] and sample covariance matrices [4]. We consider the case when the n × n… (More)

This paper is concerned with the asymptotic behavior of the free energy for a class of Hermitean random matrix models, with odd degree polynomial potential, in the large N limit. It continues an… (More)

We show that quaternionic Gaussian random variables satisfy a generalization of the Wick formula for computing the expected value of products in terms of a family of graphical enumeration problems.… (More)

- V. U. Pierce
- 2007

We summarize some combinatoric problems solved by the higher Catalan numbers. These problems are generalizations of the combinatoric problems solved by the Catalan numbers. The generating function of… (More)