Precise Asymptotics On The Birkhoff Sums For Dynamical Systems
NONLINEARITY(2021)
摘要
We establish two precise asymptotic results on the Birkhoff sums for dynamical systems. These results are parallel to that on the partial sums of independent and identically distributed random variables previously obtained by Hsu and Robbins, Erdos, Heyde. We apply our results to the Gauss map and obtain new precise asymptotics in the theorem of Levy on the regular continued fraction expansion of irrational numbers in (0, 1).
更多查看译文
关键词
precise asymptotics, expanding Markov interval maps, continued fraction, Levy's theorem
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要