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math.DS2026
Maximal measures for flows with nonuniform structure
Qiao Liu, Tianyu Wang, Weisheng Wu
In this paper, we study ergodic optimization of continuous functions for flows by concentrating on the entropy spectrum of their maximizing measures. Precisely, over a wide family…
math.DS2025
Unique equilibrium states for some partially hyperbolic diffeomorphisms with dominated splittings
Qiao Liu, Jianxiang Liao
We prove robustness and uniqueness of equilibrium states for a class of partially hyperbolic diffeomorphisms with dominated splittings and Hölder continuous potentials with not ver…
math.DS2019★ 1 cited
Local rigidity of certain solvable group actions on tori
Qiao Liu
In this paper, we study a local rigidity property of affine action on tori generated by an irreducible toral automorphism and a linear flow along an…