Frontiers in Number Theory, Physics, and Geometry I
On Random Matrices, Zeta Functions, and Dynamical Systems
Published on 12. February 2010
Book
Paperback/Softback
XII, 624 pages
978-3-642-06219-3 (ISBN)
Description
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.
More details
Edition
Softcover reprint of hardcover 1st ed. 2006
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XII, 624 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 35 mm
Weight
972 gr
ISBN-13
978-3-642-06219-3 (9783642062193)
DOI
10.1007/978-3-540-31347-2
Schweitzer Classification
Other editions
Additional editions
Pierre E. Cartier | Bernard Julia | Pierre Moussa
Frontiers in Number Theory, Physics, and Geometry I
On Random Matrices, Zeta Functions, and Dynamical Systems
Book
12/2005
Springer
€171.19
Shipment within 10-15 days
Content
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.