Q的正则增厚与连分数的动力学
A canonical thickening of Q and the dynamics of continued fractions
摘要：
我们构造了一个包含在（0，1]中的可数的开区间族，其端点是二次标，且它们的并是一个满测度集.然后，我们表明，这些区间正是单调区间的α-连分数的熵，从而证明了一个猜想的Nakada和Natsui。
英文摘要：
We construct a countable family of open intervals contained in (0,1] whose endpoints are quadratic surds and such that their union is a full measure set. We then show that these intervals are precisely the monotonicity intervals of the entropy of alpha-continued fractions, thus proving a conjecture of Nakada and Natsui.
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。
