6 citations · 12 across the 4 of their papers we have counts for
4 papers
A note on the Jordan decomposition
Mauro Patrão, Laércio Santos, Lucas Seco
In this article we prove that the elliptic, hyperbolic and nilpotent (or unipotent) additive (or multiplicative) Jordan components of an endomorphism (or an isomorphism ) of…
Jordan decomposition and dynamics on flag manifolds
Mauro Patrão, Lucas Seco, Thiago Ferraiol
Let $\g$ be a semisimple Lie algebra and $G = \Int(\g)$. In this article, we relate the Jordan decomposition of $X \in \g$ (or ) with the dynamics induced on generalized f…
Entropy and its variational principle for noncompact metric spaces
Mauro Patrão
In the present paper, we introduce a natural extension of AKM-topological entropy for noncompact spaces and prove a variational principle which states that the topological entropy,…
Conley index and stable sets for flows on flag bundles
Mauro Patrão, Luiz San Martin, Lucas Seco
Consider a continuous flow of automorphisms of a G-principal bundle which is chain transitive on its compact Hausdorff base. Here G is a connected noncompact semi-simple Lie group…