Extremal spectral properties of Otsuki tori
نویسندگان
چکیده
منابع مشابه
Tournament Matrices with Extremal Spectral Properties
For a tournament matrix M of order n, we de ne its walk space, WM , to be SpanfM 1 : j = 0; . . . ; n 1g where 1 is the all ones vector. We show that the dimension of WM equals the number of eigenvalues of M whose real parts are greater than 1=2. We then focus on tournament matrices whose walk space has particularly simple structure, and characterize them in terms of their spectra. Speci cally,...
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is much more complicated than the corresponding problem on surfaces of genus ~ 2. On one hand, for certain classes of potentials, one can reconstruct V from the spectrum of (1.1); on the other hand, there are potentials that have (lots of) isospectral deformations. In their analysis of (1.1), an important element is the decomposition of the Fourier series of V into "primitive summands," and we ...
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2012
ISSN: 0025-584X
DOI: 10.1002/mana.201200003