0000000000024533

AUTHOR

Nicolas Gourmelon

showing 2 related works from this author

Tame dynamics and robust transitivity chain-recurrence classes versus homoclinic classes

2014

Transitive relationPure mathematicsChain (algebraic topology)Applied MathematicsGeneral MathematicsDynamics (mechanics)Homoclinic orbitAlgorithmMathematicsTransactions of the American Mathematical Society
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Adapted Metrics for Dominated splittings.

2007

International audience; A Riemannian metric is adapted to an hyperbolic set of a diffeomorphism if, for this metric, the expansion/contraction of the unstable/stable directions can be seen after only one iteration. A dominated splitting is a notion of weak hyperbolicity where the tangent bundle of the manifold splits in invariant subbundles such that the vector expansion on one bundle is uniformly smaller than on the next bundle. The existence of an adapted metric for a dominated splitting has been asked by Hirsch Pugh and Shub who answer positively to the question in the special case of a dominated splitting in two bundles, one being of dimension 1. This paper gives a complete answer to th…

Mathematics::Dynamical Systems37D30Dominated splittingBanach bundlepartially hyperbolic[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS][MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS]adapted metriclinear cocycleMathematics::Symplectic Geometry
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