7.1k citations
- Institute of Astrophysics and Space SciencesPT1.2k papers
- Centre National de la Recherche ScientifiqueFR1.1k papers
- Centro de Astrofísica da Universidade do PortoPT1k papers
- University of GenevaCH636 papers
- Instituto de Astrofísica de CanariasES591 papers
- Universidad de La LagunaES520 papers
- European Southern ObservatoryCL446 papers
- Aix-Marseille UniversitéFR434 papers
- University of LisbonPT430 papers
- Institut d'Astrophysique de ParisFR425 papers
- Leiden UniversityNL398 papers
- University of CambridgeGB398 papers
8 papers · 2 filters
Thermodynamic formalism for contracting Lorenz flows
Maria Jose Pacifico, Mike Todd
We study the expansion properties of the contracting Lorenz flow introduced by Rovella via thermodynamic formalism. Specifically, we prove the existence of an equilibrium state for…
Geometry of expanding absolutely continuous invariant measures and the liftability problem
Jose F. Alves, Carla L. Dias, Stefano Luzzatto
We show that for a large class of maps on manifolds of arbitrary finite dimension, the existence of a Gibbs-Markov-Young structure (with Lebesgue as the reference measure) is a nec…
On the Stability of the Set of Hyperbolic Closed Orbits of a Hamiltonian
Mario Bessa, Celia Ferreira, Jorge Rocha
A Hamiltonian level, say a pair of a Hamiltonian and an energy , is said to be Anosov if there exists a connected component of $H^…
Gibbs-Markov structures and limit laws for partially hyperbolic attractors with mostly expanding central direction
Jose F. Alves, Vilton Pinheiro
We consider a partially hyperbolic set on a Riemannian manifold whose tangent space splits as , for which the centre-unstable direction e…
An asymptotic universal focal decomposition for non-isochronous potentials
C. A. A. de Carvalho, M. M. Peixoto, D. Pinheiro +1
Galileo, in the XVII century, observed that the small oscillations of a pendulum seem to have constant period. In fact, the Taylor expansion of the period map of the pendulum is co…
Natural equilibrium states for multimodal maps
Godofredo Iommi, Mike Todd
This paper is devoted to the study of the thermodynamic formalism for a class of real multimodal maps. This class contains, but it is larger than, Collet-Eckmann. For a map in this…