AbstractWe define a metric and a Markovian connection on the path space of a Riemannian manifold which are different from those introduced in [CM] and prove a corresponding Weitzenböck formula. AnL2inequality for the divergence is obtained as a consequence
AbstractWe shall use the Nualart-Pardoux approach to the Skorohod integral on Rd to construct the di...
AbstractWe derive an upper bound on the large-time exponential behavior of the solution to a stochas...
AbstractWe prove Cheng–Yau type inequalities for positive harmonic functions on Riemannian manifolds...
AbstractWe shall consider on a Riemannian path space Pmo(M) the Cruzeiro–Malliavin's Markovian conne...
AbstractWe obtain divergence theorems on the solution space of an elliptic stochastic differential e...
AbstractIn this paper, we shall first give another expression for Cruzeiro-Malliavin structure equat...
AbstractThe gradient and divergence operators of stochastic analysis on Riemannian manifolds are exp...
AbstractThe theory of integration in infinite dimensions is in some sense the backbone of probabilit...
AbstractWe shall establish in the context of adapted differential geometry on the path space Pmo(M) ...
AbstractTorsion free connections and a notion of curvature are introduced on the infinite dimensiona...
We study the Hessian of the solutions of time-independent Schrodinger ¨ equations, aiming to obtain ...
peer reviewedWe prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac sem...
We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a c...
We will discuss several problems related to stochastic analysis on manifolds, especially analysis on...
We consider versions of Malliavin calculus on path spaces of compact manifolds with diffusion measur...
AbstractWe shall use the Nualart-Pardoux approach to the Skorohod integral on Rd to construct the di...
AbstractWe derive an upper bound on the large-time exponential behavior of the solution to a stochas...
AbstractWe prove Cheng–Yau type inequalities for positive harmonic functions on Riemannian manifolds...
AbstractWe shall consider on a Riemannian path space Pmo(M) the Cruzeiro–Malliavin's Markovian conne...
AbstractWe obtain divergence theorems on the solution space of an elliptic stochastic differential e...
AbstractIn this paper, we shall first give another expression for Cruzeiro-Malliavin structure equat...
AbstractThe gradient and divergence operators of stochastic analysis on Riemannian manifolds are exp...
AbstractThe theory of integration in infinite dimensions is in some sense the backbone of probabilit...
AbstractWe shall establish in the context of adapted differential geometry on the path space Pmo(M) ...
AbstractTorsion free connections and a notion of curvature are introduced on the infinite dimensiona...
We study the Hessian of the solutions of time-independent Schrodinger ¨ equations, aiming to obtain ...
peer reviewedWe prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac sem...
We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a c...
We will discuss several problems related to stochastic analysis on manifolds, especially analysis on...
We consider versions of Malliavin calculus on path spaces of compact manifolds with diffusion measur...
AbstractWe shall use the Nualart-Pardoux approach to the Skorohod integral on Rd to construct the di...
AbstractWe derive an upper bound on the large-time exponential behavior of the solution to a stochas...
AbstractWe prove Cheng–Yau type inequalities for positive harmonic functions on Riemannian manifolds...
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