Work

On the regular representation of measures

Year: 2019

Type: article

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.

Source: Communications in Analysis and Geometry

DOI: 10.4310/cag.2019.v27.n8.a5

Authors: Jürgen Jost, Rostislav Matveev, Jacobus W. Portegies, Christian S. Rodrigues

Institutions: Max Planck Society, Max Planck Institute for Mathematics in the Sciences, Eindhoven University of Technology, Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2530358490

FWCI: 0.331

Cites: 8

Cited by: 1

Related to: 20