Logarithmic Bounds for Ergodic Sums of Certain Flows on the Torus: a Short Proof

Author:

Carrand JérômeORCID

Funder

European Research Council

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference19 articles.

1. Athanassopoulos, K.: Denjoy $$C^1$$ diffeomorphisms of the circle and McDuff’s question. Expo. Math. 33(1), 48–66 (2015)

2. Baladi, V.: There are no deviations for the ergodic averages of Giulietti–Liverani horocycle flows on the two-torus. Ergodic Theory and Dynamical Systems, 1–14 (2019)

3. Baladi, V., Tsujii, M.: Dynamical determinants and spectrum for hyperbolic diffeomorphisms. In:Geometric and probabilistic structures in dynamics, volume 469 of Contemp. Math., 29–68. Amer. Math. Soc., Providence, RI, (2008)

4. Bowen, R., Marcus, B.: Unique ergodicity for horocycle foliations. Israel J. Math. 26(1), 43–67 (1977)

5. Carrand, J.: Explicit construction of non-linear pseudo-Anosov maps, with nonminimal invariant foliations. arXiv preprint arXiv:2104.11625, (2021)

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