| Автор | Madan Lal Mehta |
| Дата выпуска | 2002-01-25 |
| dc.description | Ercolani and McLaughlin have recently shown that the zeros of the bi-orthogonal polynomials with the weight w(x, y) exp[−(V<sub>1</sub>(x) + V<sub>2</sub>(y) + 2cxy)/2], relevant to a model of two coupled Hermitian matrices, are real and simple. We show that their argument applies to the more general case of the weight (w<sub>1</sub> * w<sub>2</sub> * ... * w<sub>j</sub>)(x, y), a convolution of several weights of the same form. This general case is relevant to a model of several Hermitian matrices coupled in a chain. Their argument also works for more general weights such as W(x, y) e<sup>−x−y</sup>/(x + y), 0 ≤ x, y < ∞, and for a convolution of several such weights. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Zeros of some bi-orthogonal polynomials |
| Тип | paper |
| DOI | 10.1088/0305-4470/35/3/305 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 35 |
| Первая страница | 517 |
| Последняя страница | 525 |
| Аффилиация | Madan Lal Mehta; CEA/Saclay, Service de Physique Théorique, F-91191 Gif-sur-Yvette Cedex, France |
| Выпуск | 3 |
