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La distance de réarrangement, duale de la fonctionnelle de Bowen
Published online by Cambridge University Press: 05 April 2011
Abstract
On the space of signed invariant measures of Aℕ, one constructs a norm (and hence a distance) that seems to have a particular significance in dynamics. I shall present some of its properties, in particular a duality theorem à la Kantorovich–Rubinshtein, which gives an expression of this distance using couplings.
Résumé
Sur l’espace des mesures invariantes signées de Aℕ, on construit une norme (et donc une distance) qui semble avoir une importance particulière du point de vue dynamique. Je présenterai quelques-unes de ses propriétés, et tout particulièrement un théorème de dualité à la Kantorovitch–Rubinshtein, qui permet d’exprimer cette distance en termes de couplages.
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