论文标题
通用$（α，β）$转换的周期性度量密度和大偏差原理
Density of periodic measures and large deviation principle for generalized $(α, β)$-transformations
论文作者
论文摘要
我们介绍了广义$（α，β）$ - 转换，其中包括所有$（α，β）$和广义$β$转换，并证明所有及所有传递性的广义$（α，β）$转换都可以满足2级大偏差原理，并具有独特的最大端形度量。我们证明的关键步骤是在一组ergodic措施中建立周期性措施的密度。
We introduce generalized $(α,β)$-transformations, which include all $(α,β)$ and generalized $β$-transformations, and prove that all transitive generalized $(α,β)$-transformations satisfy the level-2 large deviation principle with a unique measure of maximal entropy. A crucial step in our proof is to establish density of periodic measures in the set of ergodic measures.
