Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2008, Volume 4, Number 1, Pages 7–23 (Mi jmag82)  
This article is cited in 5 scientific papers (total in 5 papers)

Distance matrices and isometric embeddings

E. Bohomolny, O. Bohigas, C. Schmit

Université Patis-Sud, CNRS, UMR 8626, Laboratoire de Physique Théorique et Modèles Statistiques, 91405 Orsay Cedex, France
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Abstract: We review the relations between distance matrices and isometric embeddings and give simple proofs that distance matrices defined on euclidean and spherical spaces have all eigenvalues except one nonpositive. Several generalizations are discussed.
Key words and phrases: Anderson model, localization, Wegner estimate.
Received: 10.10.2007
Bibliographic databases:
Document Type: Article
MSC: 15A52, 82B41
Language: English
Citation: E. Bohomolny, O. Bohigas, C. Schmit, “Distance matrices and isometric embeddings”, Zh. Mat. Fiz. Anal. Geom., 4:1 (2008), 7–23
Citation in format AMSBIB
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\by E.~Bohomolny, O.~Bohigas, C.~Schmit
\paper Distance matrices and isometric embeddings
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2008
\vol 4
\issue 1
\pages 7--23
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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