On random matrices, zeta functions, and dynamical systems
On random matrices, zeta functions, and dynamical systems
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发表时间：
2006
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通讯作者：
P. Cartier
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作者：
P. Cartier
随机矩阵：从物理学到数论量子和算术混沌关于L-函数和随机矩阵理论的注记能级统计、格点问题和几乎模函数。马斯波形的算术量子混沌。正规和复矩阵系综的大N展开自由概率论中的对称性图与度量空间的普适性与随机性Zeta函数从物理学到数论通过非交换几何。更多关于Riemann零点的Zeta函数。Hilbert整函数空间和Dirichlet L-函数空间测地流和双曲流的动力学Zeta函数和闭合轨道动力系统：区间交换、平面和小因子。-区间交换映射的连分式算法：介绍。平面。Brjuno数与动力系统真实的和复Brjuno函数的一些性质。
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.