308 citations
- Instituto de Pesquisas Jardim Botânico do Rio de JaneiroBR6 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR4 papers
- Universidade Federal FluminenseBR4 papers
- Université de Rouen NormandieFR3 papers
- University of Illinois Urbana-ChampaignUS3 papers
- Centrum Wiskunde & InformaticaNL2 papers
- Cornell UniversityUS2 papers
- Département de mathématiques et applicationsFR2 papers
- École Normale Supérieure - PSLFR2 papers
- IIT@MITUS2 papers
- Institut National des Sciences Appliquées Rouen NormandieFR2 papers
4 papers · 1 filter
Decidability of chaos for some families of dynamical systems
Alexander Arbieto, Carlos Matheus
We show that existence of positive Lyapounov exponents and/or SRB measures are undecidable (in the algorithmic sense) properties within some parametrized families of interesting dy…
Bounds on leaves of one-dimensional foliations
E. Esteves, S. Kleiman
Let X be a variety over an algebraically closed field, η:Ω^1_X\to L a one-dimensional singular foliation, and C\subseteq X a projective leaf of η. We prove that 2p_a(C)-2=°(L|C)+λ(…
Stably ergodic diffeomorphisms which are not partially hyperbolic
Ali Tahzibi
We show stable ergodicity of a class of conservative diffeomorphisms which do not have any hyperbolic invariant subbundle. Moreover the uniqueness of SRB measures for non-conservat…
On the Topology of Foliations with a First Integral
Hossein Movasati
The main objective of this article is to study the topology of the fibers of a generic rational function of the type in the projective space of dimension two. We will pro…