Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations

Author:   Markus Szymon Fraczek
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   2139
ISBN:  

9783319512945


Pages:   354
Publication Date:   14 May 2017
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations


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Author:   Markus Szymon Fraczek
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2017
Volume:   2139
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   5.621kg
ISBN:  

9783319512945


ISBN 10:   3319512943
Pages:   354
Publication Date:   14 May 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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. 

Reviews

What makes this book a unique is that it systematically covers effective computation of the spectral terms of the selberg trace formula, namely the eigenvectors, eigenfunctions and resonances. ... The computation of this book gives us a hint as to what actually occurs with the extremely complicated limit ... The book is self-contained, covering both the theoretical background and the numerical aspects. (Joshua S. Friedman, Mathematical Reviews, May, 2018)


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