Spectral Theory of Dynamical Systems

被引：0
|
作者：
Queffelec, Martine [1 ]
机构：
[1] Univ Lille 1, Lab Paul Painleve, F-59655 Villeneuve Dascq CX, France
来源：
SUBSTITUTION DYNAMICAL SYSTEMS: SPECTRAL ANALYSIS, SECOND EDITION | 2010年 / 1294卷
关键词：
D O I：
10.1007/978-3-642-11212-6_3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this chapter, we deal with dynamical systems to which we apply the foregoing results. In particular, we give a spectral characterization of the differentmixing properties (weak, mild, strong). All the results are well-known, and we omit the classical proofs for which we refer to [61,93,111,139,145,151, 193,197,200,241] or others. We close this chapter by an overview on group extensions over an ergodic rotation. © 2010 Springer-Verlag Berlin Heidelberg.
引用
收藏
页码：49 / 86
页数：38
相关论文
共 50 条
  • [31] One-dimensional quasi-periodic Schrodinger operators - Dynamical systems and spectral theory
    Eliasson, LH
    EUROPEAN CONGRESS OF MATHEMATICS, VOL I, 1998, 168 : 178 - 190
  • [32] Synchronization of Boolean Dynamical Systems: A Spectral Characterization
    Parriaux, Jeremy
    Guillot, Philippe
    Millerioux, Gilles
    SEQUENCES AND THEIR APPLICATIONS-SETA 2010, 2010, 6338 : 373 - +
  • [33] Spectral Filtering for General Linear Dynamical Systems
    Hazan, Elad
    Lee, Holden
    Singh, Karan
    Zhang, Cyril
    Zhang, Yi
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 31 (NIPS 2018), 2018, 31
  • [34] Spectral decomposition of expanding probabilistic dynamical systems
    Antoniou, I
    Bosco, F
    Suchanecki, Z
    PHYSICS LETTERS A, 1998, 239 (03) : 153 - 158
  • [35] Spectral triples on irreversible C*-dynamical systems
    Aiello, Valeriano
    Guido, Daniele
    Isola, Tommaso
    INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (01)
  • [36] Spectral decomposition of contracting probabilistic dynamical systems
    Antoniou, I
    Bosco, F
    CHAOS SOLITONS & FRACTALS, 1998, 9 (03) : 401 - 418
  • [37] A Spectral Representation for the Entropy of Topological Dynamical Systems
    Rahimi, M.
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2021, 27 (03) : 573 - 584
  • [38] A spectral representation for the entropy of random dynamical systems
    Rahimi, M.
    Bidabadi, N.
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2025,
  • [39] DERIVATIONS, DYNAMICAL-SYSTEMS, AND SPECTRAL RESTRICTIONS
    KISHIMOTO, A
    ROBINSON, DW
    MATHEMATICA SCANDINAVICA, 1985, 56 (01) : 83 - 95
  • [40] A Spectral Representation for the Entropy of Topological Dynamical Systems
    M. Rahimi
    Journal of Dynamical and Control Systems, 2021, 27 : 573 - 584
12345