Frontiers in Number Theory, Physics and Geometry: Vol.1 Frontiers in Number Theory, Physics, and Geometry I
On Random Matrices, Zeta Functions, and Dynamical Systems
(Sprache: Englisch)
The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than 10 years after a first meeting between number theorists and...
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Klappentext zu „Frontiers in Number Theory, Physics and Geometry: Vol.1 Frontiers in Number Theory, Physics, and Geometry I “
The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent. More than 10 years after a first meeting between number theorists and physicists at the Centre de Physique des Houches, a second two-week event focused on the broader interface of number theory, geometry, and physics. This book collects the material presented at this meeting.
The relation between mathematics and physics has a long history, in which the role of number theory and of other more abstract parts of mathematics has recently become more prominent.
More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics.
This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists.
The present volume has three parts: Random matrices, Zeta functions, Dynamical systems.
The companion volume is subtitled: On Conformal Field Theories, Discrete Groups and Renormalization and will be published in 2006 (Springer, 3-540-30307-3).
More than ten years after a first meeting in 1989 between number theorists and physicists at the Centre de Physique des Houches, a second 2-week event focused on the broader interface of number theory, geometry, and physics.
This book is the result of that exciting meeting, and collects, in 2 volumes, extended versions of the lecture courses, followed by shorter texts on special topics, of eminent mathematicians and physicists.
The present volume has three parts: Random matrices, Zeta functions, Dynamical systems.
The companion volume is subtitled: On Conformal Field Theories, Discrete Groups and Renormalization and will be published in 2006 (Springer, 3-540-30307-3).
Inhaltsverzeichnis zu „Frontiers in Number Theory, Physics and Geometry: Vol.1 Frontiers in Number Theory, Physics, and Geometry I “
Part I: Quantum and Arithmetical Chaos- Notes on L-functions and Random Matrix Theory
- Energy Level Statistics, Lattice Point Problems, and Almost Modular Functions
- Arithmetic Quantum Chaos of Maass Waveforms
- Large N Expansion for Normal and Complex Matrix Ensembles
- Symmetries Arising from Free Probability Theory
- Universality and Randomness for the Graphs and Metric Spaces.
Part II: From Physics to Number Theory Via Noncommutative Geometry
- More Zeta Functions for the Riemann Zeros
- Hilbert Spaces of Entire Functions and L-Functions
- Dynamical Zeta functions and Closed Orbits for Geodesic and Hyperbolic Flows.
Part III: Continued Fraction Algorithms for Interval Exchange Maps: an Introduction
- Brjuno Numbers and Dynamical Systems
- Some Properties of Real and Complex Brjuno Functions. Part IV: Appendices.
Bibliographische Angaben
- Autor: Michael Tehranchi
- 2006, 624 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Herausgegeben:Cartier, Pierre E.; Julia, Bernard; Moussa, Pierre; Vanhove, Pierre
- Herausgegeben: Pierre E. Cartier, Pierre Vanhove, Pierre Moussa, Bernard Julia
- Verlag: Springer
- ISBN-10: 3540231897
- ISBN-13: 9783540231899
- Erscheinungsdatum: 18.08.2006
Sprache:
Englisch
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