6 citations · 12 across the 19 of their papers we have counts for
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Lyapunov, metric and flag spectra
Mauro Patrão
We introduce the \emph{metric spectrum}, which measures the exponential rate of approximation to an isolated invariant set of points starting in its stable set, and relate it to th…
Fully geometric definitions of orientation and determinants
Mauro Patrão
We present fully geometric definitions of orientation and determinants and show they coincide with the algebraic definitions. This allows us to provide an approach to determinants…
The shortest way to the geodesics of spheres
Mauro Patrão
In this paper, we prove, using only elementary geometric arguments and only assuming that the curves are continuous, that the geodesics on a sphere are the minor arcs of the great…
A note on periodic differential equations
Mauro Patrão
Let be a Banach space and be the set of all its bounded linear operators. In this note, we are interested in the asymptotic behavior (recurrence and chain recurrence) of…