论文标题
将马尔可夫链与应用到动态系统的应用的统计特性
Statistical properties for mixing Markov chains with applications to dynamical systems
论文作者
论文摘要
我们为马尔可夫系统建立了一种抽象，有效的大偏差类型估计，满足了较弱的混合形式。对于编码随机圆环翻译的偏斜产物，我们采用了此结果来得出此类估计值以及中央限制定理，这是我们称之为混合的随机Quasiperiodic动力学系统的模型。该抽象方案适用于许多其他类型的偏斜产品动力学，包括用于过渡或传输操作员不存在的光谱间隙属性的系统。
We establish an abstract, effective, exponential large deviations type estimate for Markov systems satisfying a weaker form of mixing. We employ this result to derive such estimates, as well as a central limit theorem, for the skew product encoding a random torus translation, a model we call a mixed random-quasiperiodic dynamical system. This abstract scheme is applicable to many other types of skew product dynamics, including systems for which the spectral gap property for the transition or the transfer operator does not hold.
