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Lee-Yang Problems and the Geometry of Multivariate Polynomials
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.), Matematik (Avd.).ORCID-id: 0000-0003-1055-1474
2008 (engelsk)Inngår i: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 86, nr 1, s. 53-61Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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 Polya-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.

sted, utgiver, år, opplag, sider
2008. Vol. 86, nr 1, s. 53-61
Emneord [en]
phase transitions, Lee-Yang theory, linear operators, stable, polynomials, graph polynomials, apolarity, ferromagnets, systems, theorem
Identifikatorer
URN: urn:nbn:se:kth:diva-17982DOI: 10.1007/s11005-008-0271-6ISI: 000260960000003Scopus ID: 2-s2.0-56549097774OAI: oai:DiVA.org:kth-17982DiVA, id: diva2:336027
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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