论文标题
关于伪anosov的不稳定曲线的等分，紧凑型表面
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces
论文作者
论文摘要
Weprovethattheasymptoticsofergodicintegralsalonganinvariant foliation of a toral Anosov diffeomorphism, or of a pseudo-Anosov diffeomorphism on a compact orientable surface of higher genus, are determined (up to a logarithmic error) by the action of the diffeomorphism on the cohomology of the surface.由于我们的论点和朱利叶蒂（Giulietti）和利弗拉尼（Liverani）[gl]的结果对h醛平均值，托拉尔·阿诺索夫（Toral anosov）的差异性在开放间隔$（1，e^{h_ {h_ {top}}}）中没有ruelle共振。
Weprovethattheasymptoticsofergodicintegralsalonganinvariant foliation of a toral Anosov diffeomorphism, or of a pseudo-Anosov diffeomorphism on a compact orientable surface of higher genus, are determined (up to a logarithmic error) by the action of the diffeomorphism on the cohomology of the surface. As a consequence of our argument and of the results of Giulietti and Liverani [GL] on horospherical averages, toral Anosov diffeomorphisms have no Ruelle resonances in the open interval $(1,e^{h_{top}} )$.
