ar X iv : m at h / 02 05 09 4 v 1 [ m at h . C A ] 9 M ay 2 00 2 DIFFERENTIAL PROPERTIES OF MATRIX ORTHOGONAL POLYNOMIALS

ar X iv : m at h / 02 05 20 7 v 1 [ m at h . R T ] 1 9 M ay 2 00 2 Can p - adic integrals be computed ?

This article gives an introduction to arithmetic motivic integration in the context of p-adic integrals that arise in representation theory. A special case of the fundamental lemma is interpreted as an identity of Chow motives.

ar X iv : m at h / 05 05 22 4 v 1 [ m at h . ST ] 1 1 M ay 2 00 5 The Bezoutian and Fisher ’ s information matrix of an ARMA process

In this paper we derive some properties of the Bezout matrix and relate the Fisher information matrix for a stationary ARMA process to the Bezoutian. Some properties are explained via realizations in state space form of the derivatives of the white noise process with respect to the parameters. A factorization of the Fisher information matrix as a product in factors which involve the Bezout matr...

ar X iv : m at h / 05 02 57 3 v 6 [ m at h . A G ] 1 4 M ay 2 00 6 ON DEFORMATIONS OF FLAG

Any (global) deformation of a flag manifold F with b2 = 1 is biholomorphic to F .

ar X iv : m at h / 02 05 33 5 v 1 [ m at h . Q A ] 3 1 M ay 2 00 2 Yang - Baxter maps and integrable dynamics

The hierarchy of commuting maps related to a set-theoretical solution of the quantum Yang-Baxter equation (Yang-Baxter map) is introduced. They can be considered as dynamical analogues of the monodromy and transfer-matrices. The general scheme of producing Yang-Baxter maps based on matrix factorisation is described. Some examples of birational Yang-Baxter maps appeared in the KdV theory are dis...

ar X iv : h ep - p h / 04 05 11 9 v 1 1 3 M ay 2 00 4 The Lorentz and CPT violating effects on the charged