Zobrazeno 1 - 10
of 1 353
pro vyhledávání: '"zonal polynomials"'
Autor:
Wang, Haoming
The derivation of zonal polynomials involves evaluating the integral \[ \exp\left( - \frac{1}{2} \operatorname{tr} D_{\beta} Q D_{l} Q \right) \] with respect to orthogonal matrices \(Q\), where \(D_{\beta}\) and \(D_{l}\) are diagonal matrices. The
Externí odkaz:
http://arxiv.org/abs/2410.13558
Autor:
Jiu, Lin, Koutschan, Christoph
Publikováno v:
Mathematics in Computer Science 14:623-640, 2020
We investigate the zonal polynomials, a family of symmetric polynomials that appear in many mathematical contexts, such as multivariate statistics, differential geometry, representation theory, and combinatorics. We present two computer algebra packa
Externí odkaz:
http://arxiv.org/abs/2001.11599
Autor:
Gross, Kenneth I.
Publikováno v:
Transactions of the American Mathematical Society, 1987 Jun 01. 301(2), 781-811.
Externí odkaz:
https://www.jstor.org/stable/2000670
Autor:
McLaren, Mara L.
Publikováno v:
Journal of the Royal Statistical Society. Series C (Applied Statistics), 1976 Jan 01. 25(1), 82-87.
Externí odkaz:
https://www.jstor.org/stable/2346535
Autor:
Zidek, Jim
Publikováno v:
The Annals of Statistics, 1978 Jul 01. 6(4), 769-782.
Externí odkaz:
https://www.jstor.org/stable/2958854
Autor:
Feray, Valentin, Śniady, Piotr
Publikováno v:
Journal of Algebra, Volume 334, Issue 1, 2011, Pages 338-373
We study zonal characters which are defined as suitably normalized coefficients in the expansion of zonal polynomials in terms of power-sum symmetric functions. We show that the zonal characters, just like the characters of the symmetric groups, admi
Externí odkaz:
http://arxiv.org/abs/1005.0316
Autor:
Li, Fei, Xue, Yifeng
We define zonal polynomials of quaternion matrix argument and deduce some important formulae of zonal polynomials and hypergeometric functions of quaternion matrix argument. As an application, we give the distributions of the largest and smallest eig
Externí odkaz:
http://arxiv.org/abs/0901.3379
In this paper, we study some properties of multivariate gamma function and zonal polynomials.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/0902.1329