AbstractOn the loop space L(G) over a compact connected Lie group G, we explicitly determine the first order differential operator Ct (dilatation vector field) such that the heat equation holds with respect to the Wiener measure μLt defined on the loop space
AbstractIn this article we study differential geometric properties of the most basic infinite-dimens...
AbstractWe prove the irreducibility of a Dirichlet form on the based loop space on a compact Riemann...
AbstractStochastic calculus proofs of the integration by parts formula for cylinder functions of par...
AbstractOn the loop space L(G) over a compact connected Lie group G, we explicitly determine the fir...
AbstractLet G be a compact semi-simple Lie group and L(G) the loop group over G. On L(G) is defined ...
AbstractIntegration by parts formulas are established both for Wiener measure on the path space of a...
AbstractUsing the Wiener measure on the continuous loop group L(G) of a compact connected group G, w...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...
AbstractOver the space L of based loops in a compact connected Lie group G there is a natural gradie...
AbstractLet X denote a simply connected compact Riemannian symmetric space, U the universal covering...
AbstractFor each Lp-Wasserstein distance (p>1) with the cost function induced by the L2-distance on ...
AbstractWe consider a based loop group Le(G) over a compact Lie groupG, endowed with its pinned Wien...
AbstractLet G be a compact Lie group. Denote by m the Brownian bridge measure on the loop group Y ≡ ...
AbstractIn this paper we will prove the logarithmic Sobolev inequality on free loop groups for vario...
We prove two generalizations of localization formulae for finite-dimensional spaces to the infinite-...
AbstractIn this article we study differential geometric properties of the most basic infinite-dimens...
AbstractWe prove the irreducibility of a Dirichlet form on the based loop space on a compact Riemann...
AbstractStochastic calculus proofs of the integration by parts formula for cylinder functions of par...
AbstractOn the loop space L(G) over a compact connected Lie group G, we explicitly determine the fir...
AbstractLet G be a compact semi-simple Lie group and L(G) the loop group over G. On L(G) is defined ...
AbstractIntegration by parts formulas are established both for Wiener measure on the path space of a...
AbstractUsing the Wiener measure on the continuous loop group L(G) of a compact connected group G, w...
An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fu...
AbstractOver the space L of based loops in a compact connected Lie group G there is a natural gradie...
AbstractLet X denote a simply connected compact Riemannian symmetric space, U the universal covering...
AbstractFor each Lp-Wasserstein distance (p>1) with the cost function induced by the L2-distance on ...
AbstractWe consider a based loop group Le(G) over a compact Lie groupG, endowed with its pinned Wien...
AbstractLet G be a compact Lie group. Denote by m the Brownian bridge measure on the loop group Y ≡ ...
AbstractIn this paper we will prove the logarithmic Sobolev inequality on free loop groups for vario...
We prove two generalizations of localization formulae for finite-dimensional spaces to the infinite-...
AbstractIn this article we study differential geometric properties of the most basic infinite-dimens...
AbstractWe prove the irreducibility of a Dirichlet form on the based loop space on a compact Riemann...
AbstractStochastic calculus proofs of the integration by parts formula for cylinder functions of par...
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