منابع مشابه
Eigenvalue statistics and lattice points
One of the more challenging problems in spectral theory and mathematical physics today is to understand the statistical distribution of eigenvalues of the Laplacian on a compact manifold. There are now several challenging conjectures about these, originating in the physics literature. In this survey, a version of a talk delivered as the Colloquio De Giorgi at the Scuola Normale Superiore of Pis...
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We examine the adjacency matrices of three-regular graphs representing one-face maps. Numerical studies reveal that the limiting eigenvalue statistics of these matrices are the same as those of much larger, and more widely studied classes from Random Matrix Theory. We present an algorithm for generating matrices corresponding to maps of genus zero, and find the eigenvalue statistics in the genu...
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The eigenvalue statistics of quantum ideal gases with single particle energies en = n α are studied. A recursion relation for the partition function allows to calculate the mean density of states from the asymptotic expansion for the single particle density. For integer α > 1 one expects and finds number theoretic degeneracies and deviations from the Poissonian spacing distribution. By semiclas...
متن کاملEvaluation of Suburban measurements by eigenvalue statistics
Forschungszentrum Telekommunikation Wien, Donau-City-Straße 1, 1220 Vienna, Austria. Siemens AG, Lise-Meitner-Straße 13, 89081 Ulm, Germany. Institute for Circuit Theory and Signal Processing, Munich University of Technology, Arcisstraße 21, 80290 Munich, Germany. [email protected] Abstract A MIMO channel measurement campaign with a moving mobile has been conducted in Vienna. The measured data ...
متن کاملIdentifying Threshold Concepts in First-Year Statistics
Every discipline has a limited number of fundamental concepts. Discipline experts will identify some of these as threshold concepts. An understanding of threshold concepts is expected to provide an insight into the discipline and enhance learning and understanding. In this paper I will investigate threshold concepts for first-year business statistics, which is a compulsory unit for all business...
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ژورنال
عنوان ژورنال: The Journal of the Acoustical Society of America
سال: 1983
ISSN: 0001-4966
DOI: 10.1121/1.2020797