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Volumn 48, Issue 1, 2011, Pages 53-84

Multivariate stable polynomials: Theory and applications

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EID: 78650192683     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-2010-01321-5     Document Type: Article
Times cited : (148)

References (19)
  • 1
    • 45849094080 scopus 로고    scopus 로고
    • Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
    • J. Borcea and P. Brändén, Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products, Duke Math. J. 143 (2008), 205-223.
    • (2008) Duke Math. J. , vol.143 , pp. 205-223
    • Borcea, J.1    Brändén, P.2
  • 2
    • 56549097774 scopus 로고    scopus 로고
    • Lee-Yang problems and the geometry of multivariate polynomials
    • J. Borcea and P. Brändén, Lee-Yang problems and the geometry of multivariate polynomials, Lett. Math. Phys. 86 (2008), 53-61.
    • (2008) Lett. Math. Phys. , vol.86 , pp. 53-61
    • Borcea, J.1    Brändén, P.2
  • 3
    • 71449101577 scopus 로고    scopus 로고
    • Ṕolya-Schur master theorems for circular domains and their boundaries
    • J. Borcea and P. Brändén, Ṕolya-Schur master theorems for circular domains and their boundaries, Ann. of Math. 170 (2009), 465-492.
    • (2009) Ann. of Math. , vol.170 , pp. 465-492
    • Borcea, J.1    Brändén, P.2
  • 4
    • 77956021403 scopus 로고    scopus 로고
    • Multivariate Pólya-Schur classification problems in the Weyl algebra
    • J. Borcea and P. Brändén, Multivariate Pólya-Schur classification problems in the Weyl algebra, Proc. London Math. Soc. 101 (2010), 73-104.
    • (2010) Proc. London Math. Soc. , vol.101 , pp. 73-104
    • Borcea, J.1    Brändén, P.2
  • 5
    • 70350649060 scopus 로고    scopus 로고
    • The Lee-Yang and Pólya-Schur programs I: Linear operators preserving stability
    • J. Borcea and P. Brändén, The Lee-Yang and Pólya-Schur programs I: Linear operators preserving stability, Invent. Math. 177 (2009), 541-569.
    • (2009) Invent. Math. , vol.177 , pp. 541-569
    • Borcea, J.1    Brändén, P.2
  • 6
    • 76749115349 scopus 로고    scopus 로고
    • The Lee-Yang and Pólya-Schur programs II: Theory of stable polynomials and applications Comm
    • J. Borcea and P. Brändén, The Lee-Yang and Pólya-Schur programs II: Theory of stable polynomials and applications Comm. Pure Appl. Math. 62 (2009), 1595-1631.
    • (2009) Pure Appl. Math. , vol.62 , pp. 1595-1631
    • Borcea, J.1    Brändén, P.2
  • 7
    • 70350670994 scopus 로고    scopus 로고
    • Negative dependence and the geometry of polynomials
    • J. Borcea, P. Brändén, and T.M. Liggett, Negative dependence and the geometry of polynomials, J. Amer. Math. Soc. 22 (2009), 521-567.
    • (2009) J. Amer. Math. Soc. , vol.22 , pp. 521-567
    • Borcea, J.1    Brändén, P.2    Liggett, T.M.3
  • 8
    • 34548157530 scopus 로고    scopus 로고
    • Polynomials with the half-plane property and matroid theory
    • P. Brändén, Polynomials with the half-plane property and matroid theory, Adv. Math. 216 (2007), 302-320.
    • (2007) Adv. Math. , vol.216 , pp. 302-320
    • Brändén, P.1
  • 9
    • 70450245515 scopus 로고    scopus 로고
    • A converse to the Grace-Walsh-Szego″ theorem
    • P. Brändén and D.G. Wagner, A converse to the Grace-Walsh-Szego″ theorem, Math. Proc. Camb. Phil. Soc. 147 (2009), 447-453.
    • (2009) Math. Proc. Camb. Phil. Soc. , vol.147 , pp. 447-453
    • Brändén, P.1    Wagner, D.G.2
  • 11
    • 0000078158 scopus 로고
    • An inequality for hyperbolic polynomials
    • L. Gårding, An inequality for hyperbolic polynomials, J. Math. Mech. 8 (1959), 957-965.
    • (1959) J. Math. Mech. , vol.8 , pp. 957-965
    • Gårding, L.1
  • 12
    • 43849083236 scopus 로고    scopus 로고
    • Van der Waerden/Schrijver-Valiant like conjectures and stable (aka hyperbolic) homogeneous polynomials: one theorem for all. With a corrigendum
    • L. Gurvits, Van der Waerden/Schrijver-Valiant like conjectures and stable (aka hyperbolic) homogeneous polynomials: one theorem for all. With a corrigendum, Electron. J. Combin. 15 (2008), R66 (26 pp).
    • (2008) Electron. J. Combin. , vol.15 , Issue.R66 , pp. 26
    • Gurvits, L.1
  • 18
    • 46749128536 scopus 로고    scopus 로고
    • Negatively correlated random variables and Mason's conjecture for independent sets in matroids
    • D.G. Wagner, Negatively correlated random variables and Mason's conjecture for independent sets in matroids, Ann. of Combin. 12 (2008), 211-239.
    • (2008) Ann. of Combin. , vol.12 , pp. 211-239
    • Wagner, D.G.1
  • 19
    • 62149096816 scopus 로고    scopus 로고
    • A criterion for the half-plane property
    • D.G. Wagner and Y. Wei, A criterion for the half-plane property, Discrete Math. 309 (2009), 1385-1390.
    • (2009) Discrete Math , vol.309 , pp. 1385-1390
    • Wagner, D.G.1    Wei, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.