Lee-Yang Problems and The Geometry of Multivariate Polynomials

Autor:	Borcea, Julius, Brändén, Petter
Rok vydání:	2008
Předmět:	Mathematics - Complex Variables Condensed Matter - Statistical Mechanics Mathematical Physics Mathematics - Combinatorics 47B38 (Primary) 05A15 05C70 30C15 32A60 46E22 82B20 82B26 (Secondary)
Zdroj:	Lett. Math. Phys. 86 (2008), 53-61
Druh dokumentu:	Working Paper
DOI:	10.1007/s11005-008-0271-6
Popis:	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 P\'olya-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. Comment: To appear in Letters in Mathematical Physics; 8 pages, no figures, LaTeX2e
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0810.1007 Zobrazit plný text záznamu View this record from Arxiv