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 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.
Inhaltsverzeichnis zu „Frontiers in Number Theory, Physics, and Geometry I “
Random Matrices: from Physics to Number Theory.- 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.- Zeta Functions.- From Physics to Number Theory Via Noncommutative Geometry.- More Zeta Functions for the Riemann Zeros.- Hilbert Spaces of Entire Functions and Dirichlet L-Functions.- Dynamical Zeta Functions and Closed Orbits for Geodesic and Hyperbolic Flows.- Dynamical Systems: Interval Exchange, Flat Surfaces, and Small Divisors.- Continued Fraction Algorithms for Interval Exchange Maps: an Introduction.- Flat Surfaces.- Brjuno Numbers and Dynamical Systems.- Some Properties of Real and Complex Brjuno Functions.
Bibliographische Angaben
- 2010, XII, 624 Seiten, Masse: 15,6 x 23,8 cm, Kartoniert (TB), Englisch
- Herausgegeben: Pierre E. Cartier, Bernard Julia, Pierre Moussa, Pierre Vanhove
- Verlag: Springer, Berlin
- ISBN-10: 3642062199
- ISBN-13: 9783642062193
Sprache:
Englisch
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