42 citations · 77 across the 8 of their papers we have counts for
11 papers
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…
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…
The stability conjecture for geodesic flows of compact manifolds without conjugate points and quasi-convex universal covering
Rafael Potrie, Rafael O. Ruggiero
Let be a compact, boudaryless connected manifold without conjugate points with quasi-convex universal covering and divergent geodesic rays. We show that the ge…
Geodesic flows modeled by expansive flows: Compact surfaces without conjugate points and continuous Green bundles
Rafael O. Ruggiero, Katrin Gelfert
We study the geodesic flow of a compact surface without conjugate points and genus greater than one and continuous Green bundles. Identifying each strip of bi-asymptotic geodesics…
Big Rip: heating by Hawking radiation and a possible connection to conformal cyclic cosmology
Rafael Ruggiero
In the Big Rip cosmological scenario, a FRW universe containing dark energy with in its equation of state (phantom energy) expands in such way that, in a finite time span,…
The relationship between stopping time and number of odd terms in Collatz sequences
Rafael Ruggiero
The Collatz sequence for a given natural number is generated by repeatedly applying the map if is odd and if is even. O…