Selberg Zeta Functions and Transfer Operators An Experimental Approach to Singular Perturbations By: Markus Szymon Fraczek Publisher: Springer Print ISBN: 9783319512945, 3319512943 eText ISBN: 9783319512969, 331951296X Copyright year: 2017 Format: EPUB Available from $ 79.99 USD SKU: 9783319512969 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. SKU: 9783319512945 Ebooks here: https://ebookscoffee.sellpass.io/products/Selberg-Zeta-Functions-and-Transfer-Operators
