Further Implications of the Bessis-Moussa-Villani Conjecture

Elliott H. Lieb; Robert Seiringer

doi:10.1007/s10955-012-0585-8

Further Implications of the Bessis-Moussa-Villani Conjecture

Elliott H. Lieb
, Robert Seiringer

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].

Original language	English (US)
Pages (from-to)	86-91
Number of pages	6
Journal	Journal of Statistical Physics
Volume	149
Issue number	1
DOIs	https://doi.org/10.1007/s10955-012-0585-8
State	Published - Oct 2012

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Keywords

BMV conjecture

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10.1007/s10955-012-0585-8

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title = "Further Implications of the Bessis-Moussa-Villani Conjecture",

abstract = "We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ \{mapping\} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].",

keywords = "BMV conjecture",

author = "Lieb, \{Elliott H.\} and Robert Seiringer",

note = "Funding Information: Acknowledgements We are grateful to P. Landweber for valuable discussion on this topic, especially about elementary symmetric functions. Partial financial support by U.S. NSF grant PHY-0965859 (E.H.L.) and the NSERC (R.S.) is gratefully acknowledged.",

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AU - Seiringer, Robert

N1 - Funding Information: Acknowledgements We are grateful to P. Landweber for valuable discussion on this topic, especially about elementary symmetric functions. Partial financial support by U.S. NSF grant PHY-0965859 (E.H.L.) and the NSERC (R.S.) is gratefully acknowledged.

PY - 2012/10

Y1 - 2012/10

N2 - We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].

AB - We find further implications of the BMV conjecture, which states that for hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace transform of a positive measure supported on [0,∞].

KW - BMV conjecture

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UR - https://www.scopus.com/pages/publications/84867140317#tab=citedBy

U2 - 10.1007/s10955-012-0585-8

DO - 10.1007/s10955-012-0585-8

M3 - Article

AN - SCOPUS:84867140317

SN - 0022-4715

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SP - 86

EP - 91

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

IS - 1

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Further Implications of the Bessis-Moussa-Villani Conjecture

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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