On the regular representation of measures
Jürgen Jost, Rostislav Matveev, Jacobus Willem Portegies, and Christian S. Rodrigues
Contact the author: Please use for correspondence this email.
Submission date: 11. Oct. 2016
MSC-Numbers: 37C40, 49K45, 49N60
Keywords and phrases: Representation of measures, Markov chain, random maps
Download full preprint: PDF (409 kB)
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 Ck. The conditions allow for the probability densities to approach zero towards the boundary of the manifold. We also formulate two obstructions to regular representability.