导语
内容提要
Ya.G.西奈著的《动力系统与统计力学(英文)》包含了有关动力系统和统计力学理论的相关论文,如混沌动力系统中的空间离散化、Julia集的相对性、几何问题中的泊松分布等内容。书中同时介绍了动力系统和统计力学在其他学科中的应用。本书适合大学师生及数学爱好者参考使用。
目录
Introduction
Phase Space Discretization in Chaotic Dynamical Systems
G-Consistent Estimates of Eigenvalues and Eigenvectors of Matrices
Circle Homeomorphisms with Weak Discontinuities
Multidimensional KAM Theory from the Renormalization Group Viewpoint
Symmetries on a Julia Set
Renormalization Group and Renormalization Theory in p-Adic and Adelic Scalar Models
Space-Time Chaos in Chains of Weakly Interacting Hyperbolic Mappings
Poisson Distribution in a Geometric Problem
Singular Spectral Properties of a One-Dimensional Schr6dinger Operator with Almost Periodic Potential
编辑手记