7 papers
Representation formulas for maximal monotone operators of type (D) in Banach spaces whose dual spaces are strictly convex
Nguyen B. Tran, Tran N. Nguyen, Huynh M. Hien
This work deals with a maximal monotone operator of type (D) in a Banach space whose dual space is strictly convex. We establish some representations for the value at a gi…
Markov partitions for the geodesic flow on compact Riemann surfaces of constant negative curvature
Huynh M. Hien
It is well-known that hyperbolic flows admit Markov partitions of arbitrarily small size. However, the constructions of Markov partitions for general hyperbolic flows are very abst…
Spectral form factor in the Hadamard-Gutzwiller model: orbit pairs contributing in the third order
Huynh M. Hien
In this paper we consider orbit pairs contributing in the third order of the spectral form factor in the Hadamard-Gutzwiller model. We prove that periodic orbits including two 2-en…
Katok-Hasselblatt-kinematic expansive flows
Huynh Minh Hien
In this paper we introduce a new notion of expansive flows, which is the combination of expansivity in the sense of Katok and Hasselblatt and kinematic expansivity, named KH-kinema…
A solution to Flinn's conjecture on weakly expansive flows
Huynh Minh Hien
In L.W. Flinn's PhD thesis published in 1972, the author conjectured that weakly expansive flows are also expansive flows. In this paper we use the horocycle flow on compact Rieman…
Fundamental domains in for Fuchsian groups
Huynh Minh Hien
In this paper, we provide a necessary and sufficient condition for a set in or in to be a fundamental domain for a given Fuchsian grou…
Expansiveness for the geodesic and horocycle flows on compact Riemann surfaces of constant negative curvature
Huynh Minh Hien
We study expansive properties for the geodesic and horocycle flows on compact Riemann surfaces of constant negative curvature. It is well-known that the geodesic flow is expansive…