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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the regular representation of measures

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Author(s):
Jost, Juergen [1] ; Matveev, Rostislav [1] ; Portegies, Jacobus W. [2] ; Rodrigues, Christian S. [3]
Total Authors: 4
Affiliation:
[1] Max Planck Inst Math Sci, Inselstr 22, D-04103 Leipzig - Germany
[2] Eindhoven Univ Technol, Eindhoven - Netherlands
[3] Univ Estadual Campinas, Inst Math, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: COMMUNICATIONS IN ANALYSIS AND GEOMETRY; v. 27, n. 8, p. 1799-1823, 2019.
Web of Science Citations: 0
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 represent ability. (AU)

FAPESP's process: 16/00332-1 - Geometry and probability in dynamical systems: fundamentals and applications
Grantee:Christian da Silva Rodrigues
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 15/02230-9 - Random perturbations and Statistical Properties of dynamical systems
Grantee:Christian da Silva Rodrigues
Support Opportunities: Scholarships in Brazil - Post-Doctoral