Selberg zeta functions and transfer operators [Documento eletrónico] : an experimental approach to singular perturbations / Markus Szymon Fraczek
Language: eng - inglesa.Country: US - United States of America.Publication: Cham : Springer International Publishing, 2017Description: XV, 354 p. : il.ISBN: 978-3-319-51296-9.Series: Lecture Notes in Mathematics, 2139Subject - Topical Name: Teoria da aproximação | Informática -- Matemática | Teoria dos números | Funções de variáveis complexas | Funções especiais | Teoria ergódica Online Resources:Click here to access online| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA221.SPR. FCT 97788 (Browse shelf) | 1 | Available |
Colocação: Online
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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