6 citations · 12 across the 4 of their papers we have counts for
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math.DS2008★ 6 cited
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…
math.DS2008★ 5 cited
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,…
math.DS2008★ 1 cited
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…