3 papers
math.DS2026
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, \mathb…
math.DS2025
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…
math.DS2024
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…