Lee-Yang Problems and The Geometry of Multivariate Polynomials

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dc.creatorBorcea, Julius
dc.creatorBrändén, Petter
dc.date2008-10-06
dc.date.accessioned2026-07-07T10:18:19Z
dc.date.available2026-07-07T10:18:19Z
dc.descriptionWe 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.
dc.descriptionTo appear in Letters in Mathematical Physics; 8 pages, no figures, LaTeX2e
dc.identifierhttps://arxiv.org/abs/0810.1007
dc.identifierhttp://arxiv.org/abs/0810.1007
dc.identifierLett. Math. Phys. 86 (2008), 53-61
dc.identifierdoi:10.1007/s11005-008-0271-6
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174150
dc.subjectComplex Variables
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.subject47B38 (Primary);05A15, 05C70, 30C15, 32A60, 46E22, 82B20, 82B26 (Secondary)
dc.titleLee-Yang Problems and The Geometry of Multivariate Polynomials
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