ar X iv : m at h - ph / 0 20 50 07 v 1 5 M ay 2 00 2 Increasing subsequences and the hard - to - soft edge transition in matrix ensembles

ar X iv : m at h - ph / 0 30 50 16 v 1 8 M ay 2 00 3 The von Neumann entropy and information rate for integrable quantum Gibbs ensembles , 2

This paper considers the problem of data compression for dependent quantum systems. It is the second in a series under the same title which began with [6] and continues with [12]. As in [6], we are interested in Lempel–Ziv encoding for quantum Gibbs ensembles. Here, we consider the canonical ideal lattice Boseand Fermi-ensembles. We prove that as in the case of the grand canonical ensemble, the...

ar X iv : m at h - ph / 0 21 20 63 v 3 1 5 M ay 2 00 3 Janossy Densities

We derive an elementary formula for Janossy densities for determinantal point processes with a finite rank projection-type kernel. In particular, for β = 2 polynomial ensembles of random matrices we show that the Janossy densities on an interval I ⊂ R can be expressed in terms of the Christoffel-Darboux kernel for the orthogonal polynomials on the complement of I.

ar X iv : m at h - ph / 0 31 20 01 v 1 2 9 N ov 2 00 3 On the edge universality of the local eigenvalue statistics of matrix models

Basing on our recent results on the 1/n-expansion in unitary invariant random matrix ensembles , known as matrix models, we prove that the local eigenvalue statistic, arising in a certain neighborhood of the edges of the support of the Density of States, is independent of the form of the potential, determining the matrix model. Our proof is applicable to the case of real analytic potentials and...

ar X iv : 0 70 5 . 31 41 v 1 [ as tr o - ph ] 2 2 M ay 2 00 7 The SARG Planet Search

ar X iv : m at h - ph / 0 20 50 16 v 1 1 2 M ay 2 00 2 Generalized Euler Angle Parameterization for SU ( N )

In a previous paper [1] an Euler angle parameterization for SU(4) was given. Here we present the derivation of a generalized Euler angle parameterization for SU(N). The formula for the calculation of the Haar measure for SU(N) as well as its relation to Marinov’s volume formula for SU(N) [2,3] will also be derived. As an example of this parameterization’s usefulness, the density matrix paramete...