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math.DS2024
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…
math.DS2024
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{…