On the regular representation of measures
Differential Geometry
2022-02-10 v1 Analysis of PDEs
Dynamical Systems
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 . The conditions allow for the probability densities to approach zero towards the boundary of the manifold. We also formulate two obstructions to regular representability.
Cite
@article{arxiv.1610.02986,
title = {On the regular representation of measures},
author = {Jürgen Jost and Rostislav Matveev and Jacobus W. Portegies and Christian S. Rodrigues},
journal= {arXiv preprint arXiv:1610.02986},
year = {2022}
}
Comments
19 pages