Add to ORKGInternational audienceWe 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 tending to infinity, which can be viewed as a counterpart to Bismut's asymptotic formula in small time
By comparing curve length in a manifold and a standard sphere, we prove a local uniform bound for th...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
For a sub-Riemannian manifold provided with a smooth volume, we relate the small time asymptotics of...
Abstract. It is well known that on a Riemannian manifold, there is a deep interplay between geometry...
We introduce and study Brownian bridges to submanifolds. Our method involves proving a general formu...
We introduce and study submanifold bridge processes. Our method involves proving a general formula f...
Abstract. We prove an upper bound for the escape rate of Brown-ian motion on a Cartan-Hadamard manif...
This is a study of the distance between a Brownian motion and a submanifold of a complete Riemannian...
International audienceFor incomplete sub-Riemannian manifolds, and for an associated second-order hy...
AbstractWe prove Poincaré inequalities w.r.t. the distributions of Brownian bridges on sets of loops...
We study the relation between the entropy E(X) (exponential growth rate) of a Cartan-Hadamard manifo...
In this thesis we look deeper in the link between Brownian motion and heat kernel on Riemannian mani...
ABSTRACT. In this paper we provide a lower bound for the long time on-diagonal heat kernel of minima...
Abstract. By comparing curve length in a manifold and a standard sphere, we prove a local uniform bo...
We study the asymptotic Dirichlet problem for A-harmonic equations and for the minimal graph equatio...
By comparing curve length in a manifold and a standard sphere, we prove a local uniform bound for th...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
For a sub-Riemannian manifold provided with a smooth volume, we relate the small time asymptotics of...
Abstract. It is well known that on a Riemannian manifold, there is a deep interplay between geometry...
We introduce and study Brownian bridges to submanifolds. Our method involves proving a general formu...
We introduce and study submanifold bridge processes. Our method involves proving a general formula f...
Abstract. We prove an upper bound for the escape rate of Brown-ian motion on a Cartan-Hadamard manif...
This is a study of the distance between a Brownian motion and a submanifold of a complete Riemannian...
International audienceFor incomplete sub-Riemannian manifolds, and for an associated second-order hy...
AbstractWe prove Poincaré inequalities w.r.t. the distributions of Brownian bridges on sets of loops...
We study the relation between the entropy E(X) (exponential growth rate) of a Cartan-Hadamard manifo...
In this thesis we look deeper in the link between Brownian motion and heat kernel on Riemannian mani...
ABSTRACT. In this paper we provide a lower bound for the long time on-diagonal heat kernel of minima...
Abstract. By comparing curve length in a manifold and a standard sphere, we prove a local uniform bo...
We study the asymptotic Dirichlet problem for A-harmonic equations and for the minimal graph equatio...
By comparing curve length in a manifold and a standard sphere, we prove a local uniform bound for th...
By using logarithmic transformations, an explicit lower bound estimate of heat kernels is obtained f...
For a sub-Riemannian manifold provided with a smooth volume, we relate the small time asymptotics of...