Isospectral measures
نویسندگان
چکیده
منابع مشابه
Isospectral Graphs and Isospectral Surfaces
In memory of Hubert Pesce In this paper, we investigate the following question: to what extent is there a converse to the Theorem of Sunada Su] in the context of graphs? Our experience in dealing with the question, \Can one hear the shape of a drum?" is that the many facets of this question turn out to be surprisingly delicate. The present instance is no exception. We will rst present a partial...
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It is common knowledge that a key dynamical characteristic of a network is its spectrum (the collection of all eigenvalues of the network's weighted adjacency matrix). We demonstrated that it is possible to reduce a network, considered as a graph, to a smaller network with fewer vertices and edges while preserving the spectrum (or spectral information) of the original network [L. A. Bunimovich ...
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© Séminaire de Théorie spectrale et géométrie (Grenoble), 1991, tous droits réservés. L’accès aux archives de la revue « Séminaire de Théorie spectrale et géométrie » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fi...
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We study the relationship between the arithmetic and the spectrum of the Laplacian for manifolds arising from congruent arithmetic subgroups of SL(1, D), where D is an indefinite quaternion division algebra defined over a number field F . We give new examples of isospectral but non-isometric compact, arithmetically defined varieties, generalizing the class of examples constructed by Vigneras. T...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2013
ISSN: 0035-7596
DOI: 10.1216/rmj-2013-43-5-1497