Frontiers in Number Theory, Physics, and Geometry I

Part I. Random Matrices: from Physics to Number Theory

1. Quantum and Arithmetical Chaos
Eugene Bogomolny

2. Notes on L-functions and Random Matrix Theory
J. Brian Conrey

3. Energy Level Statistics, Lattice Point Problems, and Almost Modular Functions
Jens Marklof

4. Arithmetic Quantum Chaos of Maass Waveforms
H. Then

5. Large N Expansion for Normal and Complex Matrix Ensembles
P. Wiegmann, A. Zabrodin

6. Symmetries Arising from Free Probability Theory
Dan Voiculescu

7. Universality and Randomness for the Graphs and Metric Spaces
A. M. Vershik

Part II. Zeta Functions

8. From Physics to Number Theory Via Noncommutative Geometry
Alain Connes, Matilde Marcolli

9. More Zeta Functions for the Riemann Zeros
André Voros

10. Hilbert Spaces of Entire Functions and Dirichlet L-Functions
Jeffrey C. Lagarias

11. Dynamical Zeta Functions and Closed Orbits for Geodesic and Hyperbolic Flows
Mark Pollicott

Part III. Dynamical Systems: Interval Exchange, Flat Surfaces, and Small Divisors

12. Continued Fraction Algorithms for Interval Exchange Maps: an Introduction
Jean-Christophe Yoccoz

13. Flat Surfaces
Anton Zorich

14. Brjuno Numbers and Dynamical Systems
Guido Gentile

15. Some Properties of Real and Complex Brjuno Functions
Stefano Marmi, Pierre Moussa, Jean-Christophe Yoccoz

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Nyckelord: MATHEMATICS / General MAT000000