1 citations · 1 across the 6 of their papers we have counts for
6 papers
Exponential mixing of frame flows for three dimensional manifolds of quarter-pinched negative curvature
Daofei Zhang
For a compact three-dimensional smooth Riemannian manifold of strictly 1/4-pinched negative sectional curvature, we establish exponential mixing of the frame flow with respect to t…
Stretched-exponential mixing for surface semiflows and Anosov flows
Daofei Zhang
For a surface semiflow that is a suspension of a \( C^{1+α} \) expanding Markov interval map, we prove that, under the assumptions that the roof function is Lipschitz continuous an…
Rapid mixing for compact group extensions of hyperbolic flows
Mark Pollicott, Daofei Zhang
In this article, we give explicit conditions for compact group extensions of hyperbolic flows (including geodesic flows on negatively curved manifolds) to exhibit quantifiable rate…
A remark on rapid mixing for hyperbolic flows
Daofei Zhang
We establish an improved criterion for rapid mixing of hyperbolic flows by weakening the requirement on the temporal distance function from positive box dimension to the existence…
Rapid mixing and superpolynomial equidistribution for torus extensions of hyperbolic flows
Daofei Zhang
In this paper, we study mixing rates for -extensions of hyperbolic flows. Given three closed orbits with their holonomies, we can relate them to a point in $\mathbb…
On the volume of sectional-hyperbolic sets
Daofei Zhang, Yuntao Zang
For a transitive sectional-hypebolic set with positive volume on a -dimensional manifold (), we show that and is a uniformly hyperbolic set without singu…