On the regular representation of measures

Jost, Juergen; Matveev, Rostislav; Portegies, Jacobus W.; Rodrigues, Christian S.

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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

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