论文标题
关于Anosov差异性的Birkhoff的密度
On the density of Birkhoff sums for Anosov diffeomorphisms
论文作者
论文摘要
让F成为Nilmanifold上的Anosov差异性。我们考虑沿周期轨道持续观察的持有人的birkhoff总和。我们表明，如果有两个Birkhoff总和分布在零的两侧，那么所有周期点的Birkhoff总和集中在整个实数中都很稠密。
Let f be an Anosov diffeomorphism on a nilmanifold. We consider Birkhoff sums for a Holder continuous observation along periodic orbits. We show that if there are two Birkhoff sums distributed at both sides of zero, then the set of Birkhoff sums of all periodic points is dense in the whole set of real numbers.
