Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation

Araujo V.; Melbourne I.

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Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation

机译：奇异双曲线流量的混合性能和统计极限定理，无光滑稳定叶片

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摘要

Over the last 10 years or so, advanced statistical properties, including exponential decay of correlations, have been established for certain classes of singular hyperbolic flows in three dimensions. The results apply in particular to the classical Lorenz attractor. However, many of the proofs rely heavily on the smoothness of the stable foliation for the flow.

机译：在过去的10年左右，已经为某些统计的三维统一双曲线流动建立了高级统计属性，包括指数衰减。结果特别适用于古典Lorenz吸引子。然而，许多证据严重依赖于流动稳定叶的平滑度。

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来源
《Advances in Mathematics》 |2019年第2019期|共34页
作者
Araujo V.; Melbourne I.;
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作者单位

Univ Fed Bahia Dept Matemat Ave Ademar de Barros S-N BR-40170110 Salvador BA Brazil;

Univ Warwick Math Inst Coventry CV4 7AL W Midlands England;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Singular hyperbolic attractors; Statistical properties; Lorenz-like attractors;

机译：奇异的双曲线吸引子;统计属性;Lorenz样的吸引子;

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专利

1. Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation [J] . Araujo V., Melbourne I. Advances in Mathematics . 2019,第期

机译：奇异双曲线流量的混合性能和统计极限定理，无光滑稳定叶片
2. Existence and smoothness of the stable foliation for sectional hyperbolic attractors [J] . Araujo Vitor, Melbourne Ian Bulletin of the London Mathematical Society . 2017,第Pta2期

机译：突出裂缝裂缝吸引子稳定叶的存在性和平滑度
3. Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a Stable Foliation, Including the Classical Lorenz Attractor [J] . Araujo Vitor, Melbourne Ian Annales Henri Poincare . 2016,第11期

机译：具有稳定叶面的非均匀双曲流的相关性的指数衰减，包括经典的洛伦兹吸引子
4. Foliations for semiflows in banach spaces near a normally hyperbolic invariant manifold [C] . Peter W.Batesl, Kening Lu, Chongchun Zeng US-Chinese Conference on Differential Equations and Applications held in Hangzhou, June 24-29, 1996 . 1996

机译：常双曲不变流形附近banach空间中半流的叶面
5. Density Properties of Certain Group Actions and Joining Rigidity of Some Smooth Singular Flows [D] . Dong, Changguang. 2018

机译：某些群作用的密度性质和某些光滑奇异流的连接刚度
6. Some limit theorems for ratios of order statistics from uniform random variables [O] . Shou-Fang Xu, Yu Miao -1

机译：统一随机变量的阶数统计比率的一些极限定理
7. Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation [O] . V. Araújo, I. Melbourne 2019

机译：奇异双曲线流量的混合性质和统计限位定理，无光滑稳定叶片
8. Mixed Limit Theorem for Stable Random Fields [R] . Kurien, T. V., Sethuraman, J. 1990

机译：稳定随机场的混合极限定理

Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation

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