Fluxos De Anosov
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1. Sub-actions for Anosov flows
Let (M, {Øt }) be a smooth (not necessarily transitive) Anosov flow without fixed points generated by a vector field X(x) = (d/dt)|t=0Øt (x) on a compact manifold M. Let A : M → R be a globally Holder function defined on M. Assume that ∫0T 0 A ◦ Øt (x) dt ≥ 0 for any periodic orbit {Øt (x)}t=T t=0 of period T . Then there exists a H¨older functi
Publicado em: 2011