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MiS Preprint
69/2016
On the regular representation of measures
Jürgen Jost, Rostislav Matveev, Jacobus Willem Portegies and Christian S. Rodrigues
Abstract
We give sufficient conditions for a parametrised family of probability measures on a Riemannian manifold with boundary to be represented by random maps of class $C^k$. The conditions allow for the probability densities to approach zero towards the boundary of the manifold. We also formulate two obstructions to regular representability.
