vol6_pp20-30. 198KB Jun 04 2011 12:06:15 AM
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(1) There seems to be a general principle that if an existence result about polynomials or n -tuples of polynomials over an infinite field can be proved by dimension counting, then
in this case, one can also appeal to the Hermite-Biehler theorem: if S and T are nonconstant polynomials with real coefficients, then the polynomials S and T have interlacing zeros
The paper is organized as follows: In section 2 we show how to construct positive stochastic and positive doubly stochastic matrices with a given spectrum and with
A characterization of the joint spectral radius, due to Chen and Zhou, relies on the limit superior of the k -th root of the dominant trace over products of matrices of length k..
Relying on known results for Banach space valued polynomials, we extend and unify integrability for seminorms results to random elements that are not necessarily limits of Banach
The remarkable strength of high order expansions of the matrix model recently found by Guionnet and Maurel-Segala is the key fact that allows us to develop our result and provides
Moreover, we show that the resulting stochastic integral satisfies a change of variable formula with a correction term that is an ordinary Itô integral with respect to a Brownian
There are basically three important families of polynomials associated with the root system of type A, namely, the Jack type polynomials, the Laguerre polynomials, and the MP
