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EXISTENCE OF SOLUTIONS OF SEMILINEAR SYSTEMS IN
(Universidad Católica del Norte, Departamento de Matemáticas, 2008)
On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface
(Science Journal Publication, 2012-05-01)
We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold. The method is applied to a closed hyperbolic surface ...
Spectral gap of random hyperbolic graphs and related parameters
(Inst. Mathematical Statistics, 2018-04)
Random hyperbolic graphs have been suggested as a promising model of social networks. A few of their fundamental parameters have been studied. However, none of them concerns their spectra. We consider the random hyperbolic ...