On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces
نویسندگان
چکیده
Abstract We prove that the asymptotics of ergodic integrals along an invariant foliation a toral Anosov diffeomorphism, or pseudo-Anosov diffeomorphism on compact orientable surface higher genus, is determined (up to logarithmic error) by action cohomology surface. As consequence our argument and results Giulietti Liverani [Parabolic dynamics anisotropic Banach spaces. J. Eur. Math. Soc. (JEMS) 21 (9) (2019), 2793–2858] horospherical averages, diffeomorphisms have no Ruelle resonances in open interval $(1, e^{h_{\mathrm {top}}})$ .
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2021
ISSN: ['0143-3857', '1469-4417']
DOI: https://doi.org/10.1017/etds.2021.119