论文标题
以无限不变度的量度分配某些高斯偏移的周期点
Distribution of periodic points of certain Gauss shifts with infinite invariant measure
论文作者
论文摘要
本文调查了高斯类型的周期点转移与均匀分数（Schweiger）以及向后持续分数（Rényi）相关的转移。我们表明，它们与我们称为$ e $ $ $降低和$ b $降低的两组二次非理性恰好相吻合。我们证明，相对于（无限）Lebesgue绝对连续不变的量度，这些数字是相应的高斯偏移的（无限）。
This paper investigates the periodic points of the Gauss type shifts associated to the even continued fraction (Schweiger) and to the backward continued fraction (Rényi). We show that they coincide exactly with two sets of quadratic irrationals that we call $E$-reduced, and respectively $B$-reduced. We prove that these numbers are equidistributed with respect to the (infinite) Lebesgue absolutely continuous invariant measures of the corresponding Gauss shift.
