Brownian motion regularizes ODEs, in the sense that non-well-posed ODEs become well-posed in the strong probabilitic sense by the addition of a non-degenerate noise. A version of such regularization property for single paths of Brownian motion has been given by A. M. Davie. We discuss some fragments of this deep result
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
We consider differential equations driven by rough paths and study the regularity of the laws and th...
Brownian motion regularizes ODEs, in the sense that non-well-posed ODEs become well-posed in the str...
Brownian motion regularizes ODEs, in the sense that non-well-posed ODEs become well-posed in the str...
The purpose of this thesis is to investigate some properties that a path w may have in order to say ...
We consider the rough differential equation with drift driven by a Gaussian geometric rough path. Un...
We give meaning to differential equations with a rough path term and a Brownian noise term and study...
International audienceWe investigate the effects of the propagation of a non-degenerate Brownian noi...
International audienceWe investigate the effects of the propagation of a non-degenerate Brownian noi...
International audienceWe investigate the effects of the propagation of a non-degenerate Brownian noi...
We give meaning to differential equations with a rough path term and a Brownian noise term and study...
We study ordinary differential equations (ODEs) with vector fields given by general Schwartz distrib...
We prove a regularization by noise phenomenon for semilinear SPDEs driven by multiplicative cylindri...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
We consider differential equations driven by rough paths and study the regularity of the laws and th...
Brownian motion regularizes ODEs, in the sense that non-well-posed ODEs become well-posed in the str...
Brownian motion regularizes ODEs, in the sense that non-well-posed ODEs become well-posed in the str...
The purpose of this thesis is to investigate some properties that a path w may have in order to say ...
We consider the rough differential equation with drift driven by a Gaussian geometric rough path. Un...
We give meaning to differential equations with a rough path term and a Brownian noise term and study...
International audienceWe investigate the effects of the propagation of a non-degenerate Brownian noi...
International audienceWe investigate the effects of the propagation of a non-degenerate Brownian noi...
International audienceWe investigate the effects of the propagation of a non-degenerate Brownian noi...
We give meaning to differential equations with a rough path term and a Brownian noise term and study...
We study ordinary differential equations (ODEs) with vector fields given by general Schwartz distrib...
We prove a regularization by noise phenomenon for semilinear SPDEs driven by multiplicative cylindri...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
In the present paper, we are going to show that outside a slim set in the sense of Malliavin (or qua...
We consider differential equations driven by rough paths and study the regularity of the laws and th...