4 citations · 5 across the 5 of their papers we have counts for
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Equilibrium measures of manifolds without conjugate points having visibility covering
Edhin Mamani
In this paper we study the equilibrium measures of geodesic flows of closed manifolds without conjugate points which have a visibility universal covering. Specifically, the uniquen…
Density of expansivity for geodesic flows of compact higher genus surfaces without conjugate points
Edhin F. Mamani, Rafael Ruggiero
Let be a compact connected surface without conjugate points of genus greater than one. We show that set of geodesics without strips forms a dense set of orbits…
Discontinuity of Lyapunov exponents for SL valued cocycles
Edhin Mamani, Raquel Saraiva
We exhibit an example of discontinuity point for the Lyapunov exponents as a function of the cocycle in the -Hölder topology. The linear cocycle taking values in $SL(2, \mathbb{…
Expansive factors for geodesic flows of compact manifolds without conjugate points and with visibility universal covering
Edhin F. Mamani, Rafael Ruggiero
Let be a compact manifold without conjugate points and with visibility universal covering. We show that its geodesic flow has a time-preserving expansive factor which is to…
Geodesic flows of compact higher genus surfaces without conjugate points have expansive factors
Edhin Franklin Mamani
In this paper we show that a geodesic flow of a compact surface without conjugate points of genus greater than one is time-preserving semi-conjugate to a continuous expansive flow…