Format:
24 cm
Content:
This book presents pedagogical contributions on selected topics relating Number Theory, Theoretical Physics and Geometry. The parts are composed of long self-contained pedagogical lectures followed by shorter contributions on specific subjects organized by theme. Most courses and short contributions go up to the recent developments in the fields; some of them follow their author's original viewpoints. There are contributions on Random Matrix Theory, Quantum Chaos, Non-commutative Geometry, Zeta functions, and Dynamical Systems. The chapters of this book are extended versions of lectures given at a meeting entitled Number Theory, Physics and Geometry, held at Les Houches in March 2003, which gathered mathematicians and physicists. TOC: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, From Physics to Number theory via Noncommutative Geometry, More Zeta Functions for the Riemann Zeros, Hilbert Spaces of Entire Functions and L-Functions, Dynamical Zeta functions and closed orbits for geodesic and hyperbolic flows, Continued Fraction Algorithms for Interval Exchange Maps: an Introduction, Brjuno numbers and dynamical systems, Some Properties of Real and Complex Brjuno Functions
Note:
Literaturangaben
Language:
Undetermined
Keywords:
Zahlentheorie
;
Theoretische Physik
;
Nichtkommutative Geometrie
;
Kongress
;
Les Houches 〈2003〉
;
Konferenzschrift
;
Kongress
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