3 papers
math.DS2025
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…
math.DS2025
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…
math.DS2025
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…