3 citations · 6 across the 5 of their papers we have counts for
5 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.…
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…