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math.DS2012
Positive expansive flows
Alfonso Artigue
We show that every positive expansive flow on a compact metric space consists of a finite number of periodic orbits and fixed points.
math.DS2011
Expansive flows of surfaces
Alfonso Artigue
We prove that a flow on a compact surface is expansive if and only if the singularities are of saddle type and the union of their separatrices is dense. Moreover we show that such…
math.DS2008
Local product structure for expansive homeomorphisms
Alfonso Artigue, Joaquin Brum, Rafael Potrie
Let be an expansive homeomorphism with dense topologically hyperbolic periodic points, a compact manifold. Then there is a local product structure in an open a…