1.1k citations
- Centre National de la Recherche ScientifiqueFR105 papers
- Universidade Federal FluminenseBR42 papers
- Université de Rouen NormandieFR37 papers
- Instituto de Pesquisas Jardim Botânico do Rio de JaneiroBR31 papers
- Laboratoire de Mathématiques Raphaël SalemFR29 papers
- National Research University Higher School of EconomicsRU28 papers
- Universidade Federal do Rio de JaneiroBR26 papers
- Sapienza University of RomeIT20 papers
- Universidade de São PauloBR20 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR18 papers
- Pontifícia Universidade Católica do Rio de JaneiroBR18 papers
- Universidade Federal de Santa CatarinaBR16 papers
Showing 2001 · math.DSShow all
3 papers · 2 filters
math.DS2001★ 18 cited
On the Poincare Problem for Foliations of General Type
Jorge Vitorio Pereira
Let F be a holomorphic foliation of general type on CP(2) which admits a rational first integral. We provide bounds for the degree of the first integral of F just in function of th…
math.DS2001★ 49 cited
A formula with some applications to the theory of Lyapunov exponents
Artur Avila, Jairo Bochi
We prove an elementary formula about the average expansion of certain products of 2 by 2 matrices. This permits us to quickly re-obtain an inequality by M. Herman and a theorem by…
math.DS2001★ 22 cited
Renormalization theory for multimodal maps
Daniel Smania
We study the dynamics of the renormalization operator for multimodal maps. In particular, we prove the exponential convergence of this operator for infinitely renormalizable maps w…