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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Selberg Zeta Functions and Transfer Operators: An Experimental Approach to Singular Perturbations

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

Fraczek, Markus Szymon

Paperback

Series: Lecture Notes in Mathematics, Book 2139

General Mathematics

ISBN10: 3319512943
ISBN13: 9783319512945
Publisher: Springer
Published: May 14 2017
Pages: 354
Weight: 1.15
Height: 0.77 Width: 6.14 Depth: 9.21
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.

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