Equivalence of Gradients on Connguration Spaces
نویسنده
چکیده
The gradient on a Riemannian manifold X is lifted to the connguration space X on X via a pointwise identity. This entails a norm equivalence that either holds under any probability measure or characterizes the Poisson measures, depending on the tangent space chosen on X. More generally, this approach links carr e du champ operators on X to their counterparts on X , and also includes structures that do not admit a gradient.
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