42 citations · 81 across the 18 of their papers we have counts for
20 papers
An upper bound for the mean Lorentz force of magnetic flows without conjugate points in terms of the geodesic curvature of horocycles
Anthony J. García, Rafael O. Ruggiero
We study magnetic flows on closed Riemannian surfaces of genus at least two. Let be a surface without focal points and let be a magnetic field. We prove that, above the…
On rigidity of Finsler manifolds without conjugate points and with constant -curvature
Anthony J. García, José Barbosa Gomes, Rafael O. Ruggiero
We study rigidity phenomena in closed Finsler manifolds without conjugate points under assumptions on the -curvature. We prove that a closed Finsler manifold with constant…
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…
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…
Noncommutativity in the analysis of piecewise discrete-time dynamical systems
Benjamin T. Hendel, Rafael Ruggiero
In this paper, we present a new method for the analysis of piecewise dynamical systems that are similar to the Collatz conjecture in regard to certain properties of the commutator…
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{…
Nonequilibrium in Thermodynamic Formalism: the Second Law, gases and Information Geometry
Artur O. Lopes, R. Ruggiero
In Nonequilibrium Thermodynamics and Information Theory, the relative entropy (or, KL divergence) plays a very important role. Consider a Hölder Jacobian and the Ruelle (transf…
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…
Galaxy Evolution in Clusters
Rafael Ruggiero
In this thesis, we aim to further elucidate the phenomenon of galaxy evolution in the environment of galaxy clusters using the methodology of numerical simulations. For that, we ha…
Galaxy cluster mergers as triggers for the formation of jellyfish galaxies: case study of the A901/2 system
Rafael Ruggiero, Rubens E. G. Machado, Fernanda V. Roman-Oliveira +4
The A901/2 system is a rare case of galaxy cluster interaction, in which two galaxy clusters and two smaller groups are seen in route of collision with each other simultaneously. W…
The sectional curvature of the infinite dimensional manifold of Hölder equilibrium prababilities
Artur O. Lopes, Rafael O. Ruggiero
Here we consider the discrete time dynamics described by a transformation , where is the shift and . It is known that the infinite-dimens…
Free-floating molecular clumps and gas mixing: hydrodynamic aftermaths of the intraclusterinterstellar medium interaction
Rafael Ruggiero, Romain Teyssier, Gastão B. Lima Neto +1
The interaction of gas-rich galaxies with the intra-cluster medium (ICM) of galaxy clusters has a remarkable impact on their evolution, mainly due to the gas loss associated with t…
The fate of the gaseous disks of galaxies that fall into clusters
Rafael Ruggiero, Gastão B. Lima Neto
Galaxy clusters are known to induce gas loss in infalling galaxies due to the ram pressure exerted by the intracluster medium over their gas content. In this paper, we investigate…
Geodesic flows modeled by expansive flows
Katrin Gelfert, Rafael O. Ruggiero
Given a smooth compact surface without focal points and of higher genus, it is shown that its geodesic flow is semi-conjugate to a continuous expansive flow with a local product st…
Franks' Lemma for C^2-Mané Perturbations of Riemannian Metrics and Applications to Persistence
Ayadi Lazrag, Ludovic Rifford, Rafael Ruggiero
Given a compact Riemannian manifold, we prove a uniform Franks' lemma at second order for geodesic flows and apply the result in persistence theory.
Large deviations and Aubry-Mather measures supported in nonhyperbolic closed geodesics
Artur O. Lopes, Rafael O. Ruggiero
We obtain a large deviation function for the stationary measures of twisted Brownian motions associated to the Lagrangians , where is…