5 citations · 6 across the 3 of their papers we have counts for
6 papers
Decay of Correlations for Unbounded Observables
Fang Wang, Hong-Kun Zhang, Pengfei Zhang
In this article, we study the decay rates of the correlation functions for a hyperbolic system with singularities that preserves a unique mixing SRB measure . We pr…
Hyperbolicity of asymmetric lemon billiards
Xin Jin, Pengfei Zhang
Asymmetric lemon billiards was introduced in [CMZZ], where the billiard table is the intersection of two round disks with radii , respectively, and measures…
Twist interval for twist maps
Pengfei Zhang
The twist interval of a twist map on the annulus has nonempty interior if preserves the area, but could be degenerate for general twist maps. In this…
Homoclinic intersections for geodesic flows on convex spheres
Zhihong Xia, Pengfei Zhang
In this paper we study some generic properties of the geodesic flows on a convex sphere. We prove that, generically (), every hyperbolic closed geodesic admi…
Homoclinic points of symplectic partially hyperbolic systems with 2D centre
Pengfei Zhang
We consider a generic symplectic partially hyperbolic diffeomorphism close to direct/skew products of symplectic Anosov diffeomorphisms with area-preserving diffeomorphisms and pro…
Convex billiards on convex spheres
Pengfei Zhang
In this paper we study the dynamical billiards on a convex 2D sphere. We investigate some generic properties of the convex billiards on a general convex sphere. We prove that $C^\i…