论文标题
关于等级一表面的非阳性曲率一表面的测量流的相变的评论
A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature
论文作者
论文摘要
对于任何等级1非弯曲的表面$ m $，Burns-Climenhaga-fisher-Thompson证明，对于任何$ Q <1 $，都存在一个唯一的平衡状态$μ_q$，for $qφ^u $，其中$φ^u $是几何潜力。我们表明，作为$ q \ to 1- $，$^*$限制为$μ_Q$是对常规套件的限制。
For any rank 1 nonpositively curved surface $M$, it was proved by Burns-Climenhaga-Fisher-Thompson that for any $q<1$, there exists a unique equilibrium state $μ_q$ for $qφ^u$, where $φ^u$ is the geometric potential. We show that as $q\to 1-$, the weak$^*$ limit of $μ_q$ is the restriction of the Liouville measure to the regular set.
