随机膨胀动力系统的退火和淬熄极限定理
Annealed and quenched limit theorems for random expanding dynamical systems
摘要：
本文研究了随机膨胀动力系统的退火和淬火极限定理。利用泛函分析技术和更多的概率参数与鞅，我们证明了退火版本的中心极限定理，大偏差原理，局部极限定理，几乎必然不变原理。我们还讨论了猝灭的中心极限定理、动力学Borel-Cantelli引理、Erdös-Rényi定律和浓度不等式。
英文摘要：
In this paper, we investigate annealed and quenched limit theorems for random expanding dynamical systems. Making use of functional analytic techniques and more probabilistic arguments with martingales, we prove annealed versions of a central limit theorem, a large deviation principle, a local limit theorem, and an almost sure invariance principle. We also discuss the quenched central limit theorem, dynamical Borel-Cantelli lemmas, Erdös-Rényi laws and concentration inequalities.
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