Robust Exponential Decay of Correlations for Singular-Flows

被引：0
|
作者：
Vítor Araújo
Paulo Varandas
机构：
[1] Universidade Federal da Bahia,Instituto de Matemática
[2] Universidade Federal da Bahia,Departamento de Matemática
来源：
Communications in Mathematical Physics | 2012年 / 311卷
关键词：
Exponential Decay; Exponential Tail; Lorenz Attractor; Markov Partition; Roof Function;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct open sets of Ck (k ≥ 2) vector fields with singularities that have robust exponential decay of correlations with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure.
引用
收藏
页码：215 / 246
页数：31
相关论文
共 50 条
  • [31] An area law for entanglement from exponential decay of correlations
    Fernando G. S. L. Brandão
    Michał Horodecki
    Nature Physics, 2013, 9 : 721 - 726
  • [32] An area law for entanglement from exponential decay of correlations
    1600, Nature Publishing Group (09):
  • [33] Exponential Decay of Correlations for Random Lasota–Yorke Maps
    Jérôme Buzzi
    Communications in Mathematical Physics, 1999, 208 : 25 - 54
  • [34] An area law for entanglement from exponential decay of correlations
    Brandao, Fernando G. S. L.
    Horodecki, Michal
    NATURE PHYSICS, 2013, 9 (11) : 721 - 726
  • [35] An Exponential Decay Model for the Deterministic Correlations in Axial Compressors
    Liu, Yangwei
    Tang, Yumeng
    Liu, Baojie
    Lu, Lipeng
    JOURNAL OF TURBOMACHINERY-TRANSACTIONS OF THE ASME, 2019, 141 (02):
  • [36] A Stretched Exponential Bound on Time Correlations for Billiard Flows
    N. Chernov
    Journal of Statistical Physics, 2007, 127 : 21 - 50
  • [37] A stretched exponential bound on time correlations for billiard flows
    Chernov, N.
    JOURNAL OF STATISTICAL PHYSICS, 2007, 127 (01) : 21 - 50
  • [38] Decay of correlations for certain isometric extensions of Anosov flows
    Siddiqi, Salman
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2023, 43 (04) : 1382 - 1432
  • [39] Ruelle operators and decay of correlations for contact Anosov flows
    Stoyanov, Luchezar
    COMPTES RENDUS MATHEMATIQUE, 2013, 351 (17-18) : 669 - 672
  • [40] Double-exponential decay of orientational correlations in semiflexible polyelectrolytes
    Bacova, P.
    Kosovan, P.
    Uhlik, F.
    Kuldova, J.
    Limpouchova, Z.
    Prochazka, K.
    EUROPEAN PHYSICAL JOURNAL E, 2012, 35 (06):
12345