Invariant measures of the geodesic flow and measures at infinity on negatively curved manifolds
Vadim A. Kaimanovich (1990)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Generic measures for geodesic flows on nonpositively curved manifolds”
Invariant measures of the geodesic flow and measures at infinity on negatively curved manifolds
On physical measures for Cherry flows
Liviana Palmisano (2016)
Fundamenta Mathematicae
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Studies of the physical measures for Cherry flows were initiated in Saghin and Vargas (2013). While the non-positive divergence case was resolved, the positive divergence case still lacked a complete description. Some conjectures were put forward. In this paper we make a contribution in this direction. Namely, under mild technical assumptions we solve some conjectures stated in Saghin and Vargas (2013) by providing a description of the physical measures for Cherry flows in the positive...
Mather measures and the Bowen–Series transformation
A. O. Lopes, Ph. Thieullen (2006)
Annales de l'I.H.P. Analyse non linéaire
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On the discrete Godbillon-Vey invariant and Dehn surgery on geodesic flows
Marco Brunella (1994)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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On the geodesic flow of a foliation of a compact manifold of negative constant curvature
Walczak, Paweł G.
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Large deviations, Gibbs measures and closed orbits for hyperbolic flows.
Mark Pollicott (1995)
Mathematische Zeitschrift
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Generic Properties of Invariant Measures for Continous Piecewise Monotonic Transformations.
Franz Hofbauer (1988)
Monatshefte für Mathematik
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Gradient Flows in Metric Spaces and in the Spaces of Probability Measures, and Applications to Fokker-Planck Equations with Respect to Log-Concave Measures
Luigi Ambrosio (2008)
Bollettino dell'Unione Matematica Italiana
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A survey on the main results of the theory of gradient flows in metric spaces and in the Wasserstein space of probability measures obtained in [3] and [4], is presented.
Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation
Nikolay Tzvetkov, Nicola Visciglia (2013)
Annales scientifiques de l'École Normale Supérieure
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Inspired by the work of Zhidkov on the KdV equation, we perform a construction of weighted Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation. The resulting measures are supported by Sobolev spaces of increasing regularity. We also prove a property on the support of these measures leading to the conjecture that they are indeed invariant by the flow of the Benjamin-Ono equation.