Selberg Zeta Functions and Transfer Operators

An Experimental Approach to Singular Perturbations

Nonfiction, Science & Nature, Mathematics, Counting & Numeration, Number Theory
Cover of the book Selberg Zeta Functions and Transfer Operators by Markus Szymon Fraczek, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Markus Szymon Fraczek ISBN: 9783319512969
Publisher: Springer International Publishing Publication: May 11, 2017
Imprint: Springer Language: English
Author: Markus Szymon Fraczek
ISBN: 9783319512969
Publisher: Springer International Publishing
Publication: May 11, 2017
Imprint: Springer
Language: English

This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book presents a method for evaluating Selberg zeta functions via transfer operators for the full modular group and its congruence subgroups with characters. Studying zeros of Selberg zeta functions for character deformations allows us to access the discrete spectra and resonances of hyperbolic Laplacians under both singular and non-singular perturbations. Areas in which the theory has not yet been sufficiently developed, such as the spectral theory of transfer operators or the singular perturbation theory of hyperbolic Laplacians, will profit from the numerical experiments discussed in this book. Detailed descriptions of numerical approaches to the spectra and eigenfunctions of transfer operators and to computations of Selberg zeta functions will be of value to researchers active in analysis, while those researchers focusing more on numerical aspects will benefit from discussions of the analytic theory, in particular those concerning the transfer operator method and the spectral theory of hyperbolic spaces.

More books from Springer International Publishing

Cover of the book Chinese Water Systems by Markus Szymon Fraczek
Cover of the book Sociologies of New Zealand by Markus Szymon Fraczek
Cover of the book Multiple Classifier Systems by Markus Szymon Fraczek
Cover of the book Money - The New Rules of the Game by Markus Szymon Fraczek
Cover of the book Resisting Neoliberalism in Higher Education Volume I by Markus Szymon Fraczek
Cover of the book The Myth of the Medieval Jewish Moneylender by Markus Szymon Fraczek
Cover of the book War and Family Life by Markus Szymon Fraczek
Cover of the book Multibody Dynamics by Markus Szymon Fraczek
Cover of the book Nutrition Physiology and Metabolism in Spaceflight and Analog Studies by Markus Szymon Fraczek
Cover of the book Magical Manuscripts in Early Modern Europe by Markus Szymon Fraczek
Cover of the book Postcolonial Portuguese Migration to Angola by Markus Szymon Fraczek
Cover of the book Design and Development of Optical Dispersion Characterization Systems by Markus Szymon Fraczek
Cover of the book Advances in Production, Logistics and Traffic by Markus Szymon Fraczek
Cover of the book Fuzzy Logic Type 1 and Type 2 Based on LabVIEW™ FPGA by Markus Szymon Fraczek
Cover of the book Context-Aware Systems and Applications, and Nature of Computation and Communication by Markus Szymon Fraczek
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy