Hyperbolic geometry and applications in quantum chaos and cosmology
 Language
 English.
 Imprint
 Cambridge ; New York : Cambridge University Press, 2012.
 Physical description
 xi, 272 p. : ill. ; 23 cm.
 Series
 London Mathematical Society lecture note series ; 397.
Access
Available online

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QA685 .H97 2012

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QA685 .H97 2012
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Contributors
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 Preface 1. Hyperbolic geometry A. AigonDupuy, P. Buser and K.D. Semmler 2. Selberg's trace formula: an introduction J. Marklof 3. Semiclassical approach to spectral correlation functions M. Sieber 4. Transfer operators, the Selberg Zeta function and the LewisZagier theory of period functions D. H. Mayer 5. On the calculation of Maass cusp forms D. A. Hejhal 6. Maass waveforms on (GAMMA0(N), x) (computational aspects) Fredrik Stromberg 7. Numerical computation of Maass waveforms and an application to cosmology R. Aurich, F. Steiner and H. Then.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 LaplaceBeltrami 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.
(source: Nielsen Book Data)
Subjects
Bibliographic information
 Publication date
 2012
 Responsibility
 edited by Jens Bolte, Frank Steiner.
 Series
 London Mathematical Society lecture note series ; 397
 Note
 "The London Mathematical Society."
 ISBN
 9781107610491
 1107610494