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- W2140353012 abstract "Abstract Using the works of Mañé [On the topological entropy of the geodesic flows. J. Differential Geom. 45 (1989), 74–93] and Paternain [Topological pressure for geodesic flows. Ann. Sci. Éc. Norm. Supér. (4) 33 (2000), 121–138] we study the distribution of geodesic arcs with respect to equilibrium states of the geodesic flow on a closed manifold, equipped with a $mathcal {C}^{infty }$ Riemannian metric. We prove large-deviation lower and upper bounds and a contraction principle for the geodesic flow in the space of probability measures of the unit tangent bundle. We deduce a way of approximating equilibrium states for continuous potentials." @default.
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- W2140353012 date "2013-01-04" @default.
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- W2140353012 title "Equidistribution results for geodesic flows" @default.
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- W2140353012 doi "https://doi.org/10.1017/etds.2012.153" @default.
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