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Displaying 841 –
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We study the rate of concentration of a Brownian bridge in time one around the
corresponding geodesical segment on a Cartan-Hadamard manifold with pinched negative
sectional curvature, when the distance between the two extremities tends to infinity.
This improves on previous results by A. Eberle, and one of us . Along the way, we derive
a new asymptotic estimate for the logarithmic derivative of the heat kernel on such
manifolds, in bounded time and with one space parameter...
By considering an abelian Chern-Simons model, we are led to study the existence of solutions of the Liouville equation with singularities on a flat torus. A non-existence and degree counting for solutions are obtained. The former result has an application in the Chern-Simons model.
Je présenterai les résultats d’une étude microlocale détaillée du spectre joint de deux opérateurs h-pseudo-différentiels qui commutent sur une variété de dimension deux en présence d’une singularité dite «focus-focus». L’étude couvre par exemple le cas du pendule sphérique étudié par Duistermaat, ou du fond de la bouteille de champagne, mais les phénomènes observés sont universels. On en observe principalement deux: une accumulation de valeurs propres au voisinage de la singularité en par rapport...
Nous introduisons de nouvelles régularités de Kuo-Verdier et montrons que pour une stratification
It is proved that the normal bundle of a distribution on a riemannian manifold admits a conformal curvature if and only if is a conformal foliation. Then is conformally flat if and only if vanishes. Also, the Pontrjagin classes of can be expressed in terms of .
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