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Frontiers in number theory, physics, and geometry I, On random matrices, zeta functions, and dynamical systems

Author: Pierre Cartier; Bernard Julia; Pierre Moussa; et al
Publisher: Berlin ; New York (N.Y.) : Springer, cop. 2006.
Edition/Format:   Print book : Conference publication : English : Corrected second printingView all editions and formats
Summary:

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.

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Material Type: Conference publication
Document Type: Book
All Authors / Contributors: Pierre Cartier; Bernard Julia; Pierre Moussa; et al
ISBN: 3540231897 9783540231899
OCLC Number: 493655744
Notes: Contributions du séminaire "Frontiers in number theory, physics, and geometry" au Centre de physique des Houches, 9-21 mars 2003.
Description: 1 vol. (XII-640 p.) : ill. en noir et en coul., couv. en coul. ; 24 cm
Contents: 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.
Responsibility: Pierre Cartier, Bernard Julia, Pierre Moussa ... [et al.], editors.

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