一般返回时间诱导下相关函数的上下界
Upper and lower bounds for the correlation function via inducing with general return times
摘要：
对于具有一般返回时间的非一致扩张Gibbs Markov映射，在无限测度下给出了相关函数高阶渐近的充分条件.一路上，我们表明，这些条件是足够的恢复以前的结果在有限的措施设置非马尔可夫映射的尖锐的混合率，但更大的一类可观的。最后给出了具有中立不动点的（有限和无限测度保持）非Markov区间映射的结果.
英文摘要：
For non-uniformly expanding maps inducing with a general return time to Gibbs Markov maps, we provide sufficient conditions for obtaining higher order asymptotics for the correlation function in the infinite measure setting. Along the way, we show that these conditions are sufficient to recover previous results on sharp mixing rates in the finite measure setting for non-Markov maps, but for a larger class of observables. The results are illustrated by (finite and infinite measure preserving) non-Markov intervals maps with an indifferent fixed point.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
