Umfang:
1 Online-Ressource (xi, 272 pages)
,
digital, PDF file(s).
ISBN:
9781139108782
Serie:
London Mathematical Society lecture note series 397
Inhalt:
Hyperbolic geometry is a classical subject in pure mathematics which has exciting applications in theoretical physics. In this book leading experts introduce hyperbolic geometry and Maass waveforms and discuss applications in quantum chaos and cosmology. The book begins with an introductory chapter detailing the geometry of hyperbolic surfaces and includes numerous worked examples and exercises to give the reader a solid foundation for the rest of the book. In later chapters the classical version of Selberg's trace formula is derived in detail and transfer operators are developed as tools in the spectral theory of Laplace–Beltrami operators on modular surfaces. The computation of Maass waveforms and associated eigenvalues of the hyperbolic Laplacian on hyperbolic manifolds are also presented in a comprehensive way. This book will be valuable to graduate students and young researchers, as well as for those experienced scientists who want a detailed exposition of the subject.
Inhalt:
Hyperbolic geometry / Aline Aigon-Dupuy, Peter Buser, Klaus-Dieter Semmler -- Selberg's trace formula : an introduction / Jens Marklof -- Semiclassical apporach to spectral correlation functions / Martin Sieber -- Transfer operators, the Selberg Zeta function and the Lewis-Zagier theory of period functions / Dieter H. Mayer -- On the calculation of Maass cusp forms / Dennis A. Hejhal -- Maass waveforms on [formula] (computational aspects) / Fredrick Strömberg -- Numerical computation of Maass waveforms and an application to cosmology / Ralf Aurich, Frank Steiner, Holger Then
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Weitere Ausg.:
ISBN 9781107610491
Weitere Ausg.:
ISBN 9781107610491
Weitere Ausg.:
ISBN 9781107610491
Weitere Ausg.:
Erscheint auch als Hyperbolic geometry and applications in quantum chaos and cosmology Cambridge [u.a.] : Cambridge Univ. Press, 2012 ISBN 9781107610491
Weitere Ausg.:
Print version ISBN 9781107610491
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Hyperbolic geometry and applications in quantum chaos and cosmology Cambridge [u.a.] : Cambridge Univ. Press, 2012 ISBN 9781107610491
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Hyperbolische Geometrie
;
Quantenchaos
;
Kosmologie
;
Konferenzschrift
DOI:
10.1017/CBO9781139108782
