15 citations · 22 across the 6 of their papers we have counts for
6 papers
Some Dynamical Properties on Manifolds with no Conjugate Points
Fei Liu, Xiaokai Liu, Fang Wang
In this article, we study the dynamics of geodesic flows on Riemannian (not necessarily compact) manifolds with no conjugate points. We prove the Anosov Closing Lemma, the local pr…
On the ergodicity of geodesic flows on surfaces without focal points
Weisheng Wu, Fei Liu, Fang Wang
In this article, we study the ergodicity of the geodesic flows on surfaces with no focal points. Let be a smooth connected and closed surface equipped with a Riemann…
On the Patterson-Sullivan measure for geodesic flows on rank manifolds without focal points
Fei Liu, Fang Wang, Weisheng Wu
In this article, we consider the geodesic flow on a compact rank Riemannian manifold without focal points, whose universal cover is denoted by . On the ideal boundary $X…
On the mixing and Bernoulli properties for geodesic flows on rank 1 manifolds without focal points
Fei Liu, Xiaokai Liu, Fang Wang
If is a smooth compact rank Riemannian manifold without focal points, it is shown that the measure of maximal entropy for the geodesic flow is unique. In thi…
The Decay Rate of Patterson-Sullivan Measures with Potential Functions and Critical Exponents
Ziqiang Feng, Fei Liu, Fang Wang
Basing upon the recent development of the Patterson-Sullivan measures with a Hölder continuous nonzero potential function, we use tools of both dynamics of geodesic flows and geome…
Recursive Sweeping Preconditioner for the 3D Helmholtz Equation
Fei Liu, Lexing Ying
This paper introduces the recursive sweeping preconditioner for the numerical solution of the Helmholtz equation in 3D. This is based on the earlier work of the sweeping preconditi…