Selberg Zeta Functions and Transfer Operators
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Selberg Zeta Functions and Transfer Operators
An Experimental Approach to Singular Perturbations
Fraczek, Markus Szymon
Springer International Publishing AG
05/2017
354
Mole
Inglês
9783319512945
15 a 20 dias
5621
Descrição não disponível.
Introduction.-Preliminaries.-The Gamma function and the incomplete Gamma functions.-The Hurwitz Zeta Function and the Lerch Zeta Function.-Computation of the spectra and eigenvectors of large complex matrices.-The hyperbolic Laplace-Beltrami operator.-Transfer operators for the geodesic flow on hyperbolic surfaces.-Numerical results for spectra and traces of the transfer operator for character deformations.-Investigations of Selberg zeta functions under character deformations.-Concluding remarks.-Appendices.-References.-Index of Notations.
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Character deformation;Eigenvalues and resonances of hyperbolic Laplacian;Selberg zeta function;Singular perturbations of hyperbolic Laplacian;Transfer operator method
Introduction.-Preliminaries.-The Gamma function and the incomplete Gamma functions.-The Hurwitz Zeta Function and the Lerch Zeta Function.-Computation of the spectra and eigenvectors of large complex matrices.-The hyperbolic Laplace-Beltrami operator.-Transfer operators for the geodesic flow on hyperbolic surfaces.-Numerical results for spectra and traces of the transfer operator for character deformations.-Investigations of Selberg zeta functions under character deformations.-Concluding remarks.-Appendices.-References.-Index of Notations.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.