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math.DS2024
Geodesics and dynamical information projections on the manifold of Hölder equilibrium probabilities
Artur O. Lopes, Rafael O. Ruggiero
We consider here the discrete time dynamics described by a transformation , where is either the action of shift on the symbolic space $M=\{1,2,...,d\}^\mathbb…
math.DS2024
On the set of asymptotic homologies of orbits on invariant Lagrangian graphs
Rafael Oswaldo Ruggiero, Alfonso Sorrentino
Given a smooth Tonelli Hamiltonian on the torus and a Lagrangian graph that is invariant under the Hamiltonian flow and con…
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…