This article is cited 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

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.

MSC: 15A52, 82B41

Received: 10.10.2007

Language: English

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