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math.DS2024
Homotopical Minimal Measures for Geodesic flows on Surfaces of Higher Genus
Fang Wang, Zhihong Xia
We study the homotopical minimal measures for positive definite autonomous Lagrangian systems. Homotopical minimal measures are action-minimizers in their homotopy classes, while t…
math.DS2023★ 1 cited
The Hopf-Tsuji-Sullivan Dichotomy on Visibility Manifolds Without Conjugate Points
Fei Liu, Xiaokai Liu, Fang Wang
In this article, we establish the Hopf-Tsuji-Sullivan dichotomy for geodesic flows on certain manifolds with no conjugate points: either the geodesic flow is conservative and ergod…