Frontiers in Number Theory, Physics, and Geometry I (eBook, PDF)

On Random Matrices, Zeta Functions, and Dynamical Systems
Redaktion: Cartier, Pierre E.; Vanhove, Pierre; Moussa, Pierre; Julia, Bernard

• Format: PDF

Produktbeschreibung

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.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 624
• Erscheinungstermin: 23. Februar 2006
• Englisch
• ISBN-13: 9783540313472
• Artikelnr.: 29331770

Autorenporträt

Pierre Emile Cartier, IHES, Bures-sur-Yvette, France / Bernard Julia, ENS-CRNS/LTP, Paris, France / Pierre Moussa, CEA/Saclay, Gif-sur -Yvette, France / Pierre Vanhove, CEA/Saclay, Gif-sur-Yvette, France

Inhaltsangabe

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.