论文标题
线性mod 1转换的大偏差原理
Large deviation principle for linear mod 1 transformations
论文作者
论文摘要
对于$ 0 \leα<1 $和$β> 2 $，我们考虑在单位间隔上进行线性mod 1转换； $ x \mapstoβx+α$（$ {\ rm mod} \ 1 $），并证明它以最大熵的唯一度量来满足2级大偏差原理。为了证明，我们使用周期性措施的密度和霍夫鲍尔的马尔可夫图。
For $0\le α<1$ and $β>2$, we consider a linear mod 1 transformation on a unit interval; $x\mapstoβx+α$ (${\rm mod}\ 1$), and prove that it satisfies the level-2 large deviation principle with the unique measure of maximal entropy. For the proof, we use the density of periodic measures and Hofbauer's Markov Diagram.
