3 citations · 6 across the 6 of their papers we have counts for
6 papers
Maximal entropy measures for Viana maps
Alexander Arbieto, Carlos Matheus, Samuel Senti
In this note we construct measures of maximal entropy for a certain class of maps with critical points called Viana maps. The main ingredients of the proof are the non-uniform expa…
A Pasting Lemma I: the case of vector fields
Alexander Arbieto, Carlos Matheus
We prove a perturbation (pasting) lemma for conservative (and symplectic) systems. This allows us to prove that volume preserving vector fields are -dense in $C^{…
A remark on capillary surfaces in a 3-dimensional space of constant curvature
Alexander Arbieto, Carlos Matheus, Marcos Petrucio
We generalize a theorem by J. Choe on capillary surfaces for arbitrary 3-dimensional spaces of constant curvature. The main tools in this paper are an extension of a theorem of H.…
Geometrical versus Topological Properties of Manifolds
Carlos Matheus, Krerley Oliveira
Given a compact -dimensional immersed Riemannian manifold in some Euclidean space we prove that if the Hausdorff dimension of the singular set of the Gauss map is small, t…
Immersions with fractal set of points of zero Gauss-Kronecker curvature
Alexander Arbieto, Carlos Matheus
We construct, for any ``good'' Cantor set of , an immersion of the sphere with set of points of zero Gauss-Kronecker curvature equal to , where $D…
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…