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Volumn 426, Issue 1, 2007, Pages 130-142

Advances on the Bessis-Moussa-Villani trace conjecture

Author keywords

Bessis Moussa Villani (BMV) conjecture; Euler Lagrange equations; Positive definite matrices; Trace inequality; Words in two matrices

Indexed keywords

APPROXIMATION THEORY; EULER EQUATIONS; INTEGER PROGRAMMING; OPTIMIZATION;

EID: 34547439324     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2007.04.005     Document Type: Article
Times cited : (21)

References (15)
  • 1
    • 0010970833 scopus 로고
    • Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
    • Bessis D., Moussa P., and Villani M. Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics. J. Math. Phys. 16 (1975) 2318-2325
    • (1975) J. Math. Phys. , vol.16 , pp. 2318-2325
    • Bessis, D.1    Moussa, P.2    Villani, M.3
  • 2
    • 0039770699 scopus 로고
    • Representation of the function Tr (exp (A - λ B)) as a Laplace transform with positive weight and some matrix inequalities
    • Le Couteur K.J. Representation of the function Tr (exp (A - λ B)) as a Laplace transform with positive weight and some matrix inequalities. J. Phys. A: Math. Gen. 13 (1980) 3147-3159
    • (1980) J. Phys. A: Math. Gen. , vol.13 , pp. 3147-3159
    • Le Couteur, K.J.1
  • 3
    • 34547472973 scopus 로고    scopus 로고
    • K.J. Le Couteur, Some problems of statistical mechanics and exponential operators, in: F.C. Auluck, L.S. Kothari, V.S. Nanda, (Eds.), Proceedings of the International Conference and Winter School of Frontiers of Theoretical Physics, Indian National Academy, New Delhi, 1977, Published by the Mac Millan Company of India, 1978, pp. 209-235.
  • 5
    • 0038805542 scopus 로고    scopus 로고
    • Perturbation of Wigner matrices and a conjecture
    • Fannes M., and Petz D. Perturbation of Wigner matrices and a conjecture. Proc. Amer. Math. Soc. 131 (2003) 1981-1988
    • (2003) Proc. Amer. Math. Soc. , vol.131 , pp. 1981-1988
    • Fannes, M.1    Petz, D.2
  • 6
    • 34249899929 scopus 로고    scopus 로고
    • D. Hägele, Proof of the cases p ≤ 7 of the Lieb-Seiringer formulation of the Bessis-Moussa-Villani conjecture, J. Stat. Phys., in press, doi:10.1007/s10955-007-9327-8.
  • 7
    • 33646414476 scopus 로고    scopus 로고
    • Trace functions as Laplace transforms
    • Hansen F. Trace functions as Laplace transforms. J. Math. Phys. 47 (2006) 043504
    • (2006) J. Math. Phys. , vol.47 , pp. 043504
    • Hansen, F.1
  • 8
    • 0036400873 scopus 로고    scopus 로고
    • Eigenvalues of words in two positive definite letters
    • Hillar C., and Johnson C.R. Eigenvalues of words in two positive definite letters. SIAM J. Matrix Anal. Appl. 23 (2002) 916-928
    • (2002) SIAM J. Matrix Anal. Appl. , vol.23 , pp. 916-928
    • Hillar, C.1    Johnson, C.R.2
  • 9
    • 27644585610 scopus 로고    scopus 로고
    • On the positivity of the coefficients of a certain polynomial defined by two positive definite matrices
    • Hillar C., and Johnson C.R. On the positivity of the coefficients of a certain polynomial defined by two positive definite matrices. J. Stat. Phys. 118 (2005) 781-789
    • (2005) J. Stat. Phys. , vol.118 , pp. 781-789
    • Hillar, C.1    Johnson, C.R.2
  • 12
    • 34547443307 scopus 로고    scopus 로고
    • I. Klep, M. Schweighofer, private communication, 2007.
  • 13
    • 3543041882 scopus 로고    scopus 로고
    • Equivalent forms of the Bessis-Moussa-Villani conjecture
    • Lieb E.H., and Seiringer R. Equivalent forms of the Bessis-Moussa-Villani conjecture. J. Stat. Phys. 115 (2004) 185-190
    • (2004) J. Stat. Phys. , vol.115 , pp. 185-190
    • Lieb, E.H.1    Seiringer, R.2
  • 14
    • 34547423197 scopus 로고    scopus 로고
    • Nathan Miller, 3 × 3 cases of the Bessis-Moussa-Villani conjecture, Princeton University Senior Thesis, 2004.
  • 15
    • 0038049407 scopus 로고    scopus 로고
    • (eA - λ B) as a Laplace transform
    • (eA - λ B) as a Laplace transform. Rev. Math. Phys. 12 (2000) 621-655
    • (2000) Rev. Math. Phys. , vol.12 , pp. 621-655
    • Moussa, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.