Add to ORKGWe define kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold, and prove that it provides an interpolation between the hydrodynamic flow of a fluid and a Brownian-like flow
In this report we study Markov processes on compact and connected Riemannian manifolds. We define a ...
AbstractAn explicit modulus of Hölder continuity is given for the flow associated to the canonic Bro...
The purpose of this paper is to construct a Brownian motion X_t taking values in a Riemannian manif...
45 pagesWe define kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifol...
The kinetic Brownian motion is a family of stochastic processes indexed by a noise parameter, which ...
Euler equations can be studied as an evolution of volume preserving diffeomorphisms. Brownian motion...
Via the well known chaos decomposition with respect to the multidimensional Brownian motion, we give...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
AbstractA geometric Brownian motion performs a continuous time infinitesimal perturbation of the sta...
In the frame of Nelson stochastic quantization for dynamical systems on a manifold, we consider diff...
AbstractFor infinitesimal data given on the group of diffeomorphism of the circle with respect to th...
International audienceWe consider in this work a one parameter family of hypoelliptic diffusion proc...
According to the principle of least action, the spatially periodic motions of one-dimensional mechan...
We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. Th...
Summary. We study a class of diffusions, conjugate Brownian motion, related to Brownian motion in Ri...
In this report we study Markov processes on compact and connected Riemannian manifolds. We define a ...
AbstractAn explicit modulus of Hölder continuity is given for the flow associated to the canonic Bro...
The purpose of this paper is to construct a Brownian motion X_t taking values in a Riemannian manif...
45 pagesWe define kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifol...
The kinetic Brownian motion is a family of stochastic processes indexed by a noise parameter, which ...
Euler equations can be studied as an evolution of volume preserving diffeomorphisms. Brownian motion...
Via the well known chaos decomposition with respect to the multidimensional Brownian motion, we give...
summary:The study of diffeomorphism group actions requires methods of infinite dimensional analysis....
AbstractA geometric Brownian motion performs a continuous time infinitesimal perturbation of the sta...
In the frame of Nelson stochastic quantization for dynamical systems on a manifold, we consider diff...
AbstractFor infinitesimal data given on the group of diffeomorphism of the circle with respect to th...
International audienceWe consider in this work a one parameter family of hypoelliptic diffusion proc...
According to the principle of least action, the spatially periodic motions of one-dimensional mechan...
We construct a model of Brownian motion in Minkowski space. There are two aspects of the problem. Th...
Summary. We study a class of diffusions, conjugate Brownian motion, related to Brownian motion in Ri...
In this report we study Markov processes on compact and connected Riemannian manifolds. We define a ...
AbstractAn explicit modulus of Hölder continuity is given for the flow associated to the canonic Bro...
The purpose of this paper is to construct a Brownian motion X_t taking values in a Riemannian manif...