Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards

Balint P; Toth IP

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Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards

机译：多维分散台球中相关性的指数衰减

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摘要

We prove exponential decay of correlations for a "reasonable" class of multi-dimensional dispersing billiards. The scatterers are required to be C-3 smooth, the horizon is finite, there are no corner points. In addition, we assume subexponential complexity of the singularity set.

机译：我们证明了多维分散台球“合理”类别的相关性的指数衰减。散射体必须是C-3光滑的，水平是有限的，没有拐角点。另外，我们假设奇异集的次指数复杂度。

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《Annales Henri Poincare》 |2008年第7期|共61页
作者
Balint P; Toth IP;
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正文语种 eng
中图分类高等数学;
关键词
STATISTICAL PROPERTIES; FUNDAMENTAL THEOREM; SYSTEMS;

机译：统计性质;基本定理;系统;

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专利

1. Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards [J] . Balint P, Toth IP Annales Henri Poincare . 2008,第7期

机译：多维分散台球中相关性的指数衰减
2. Decay of Correlations and Invariance Principles for Dispersing Billiards with Cusps, and Related Planar Billiard Flows [J] . Péter Bálint, Ian Melbourne Journal of Statistical Physics . 2008,第3期

机译：用尖顶散布台球以及相关平面台球流量的相关性和不变性原理的衰减
3. Decay of Correlations and Invariance Principles for Dispersing Billiards with Cusps, and Related Planar Billiard Flows [J] . Balint P, Melbourne I Journal of Statistical Physics . 2008,第3期

机译：用尖峰散布台球以及相关平面台球流量的相关性和不变性原理的衰减
4. Stretched exponential decay and correlations from two-state single molecule trajectories [C] . Ophir Flomenbom, Joseph Klafter Noise in Complex Systems and Stochastic Dynamics III . 2005

机译：二态单分子轨迹的拉伸指数衰减和相关性
5. Singularity manifolds and Fundamental Theorem for multi-dimensional dispersing billiards. [D] . Batchourine, Pavel. 2006

机译：多维分散台球的奇异流形和基本定理。
6. Stretched exponential decay and correlations in the catalytic activity of fluctuating single lipase molecules [O] . Ophir Flomenbom, Kelly Velonia, Davey Loos, 2005

机译：扩展的指数衰减和波动的单个脂肪酶分子的催化活性的相关性
7. Exponential Decay of Correlations in Multi-dimensional Dispersing Billiards [O] . 2008

机译：多维分散台球相关系数的指数衰减

Exponential Decay of Correlations in Multi-Dimensional Dispersing Billiards

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