Lee-Yang Problems and The Geometry of Multivariate Polynomials

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We describe all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in open circular domains. This completes the multivariate generalization of the classification program initiated by Pólya-Schur for univariate real polynomials and provides a natural framework for dealing in a uniform way with Lee-Yang type problems in statistical mechanics, combinatorics, and geometric function theory. This is an announcement with some of the main results in arXiv:0809.0401 and arXiv:0809.3087.
To appear in Letters in Mathematical Physics; 8 pages, no figures, LaTeX2e

Keywords

Complex Variables, Statistical Mechanics, Mathematical Physics, Combinatorics, 47B38 (Primary);05A15, 05C70, 30C15, 32A60, 46E22, 82B20, 82B26 (Secondary)

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/174150

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.1007
 http://arxiv.org/abs/0810.1007
 Lett. Math. Phys. 86 (2008), 53-61
 doi:10.1007/s11005-008-0271-6

Collections

arXiv