caa a22 4500 467989451 CHVBK 20180323112540.0 cr unu---uuuuu 170328e19900901xx s 000 0 eng 10.1007/BF01301674 doi (NATIONALLICENCE)springer-10.1007/BF01301674 Blümlinger Martin Institut für Analysis Technische Mathematik und Versicherungsmathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040, Wien, Austria aut Asymptotic distribution and weak convergence on compact Riemannian manifolds [Elektronische Daten] [Martin Blümlinger] LetM be a compact Riemannian manifold. The discrepancy of two measures onM can be defined by means of geodesic balls onM. It is shown that a sequence of positive measures converges weakly to an absolutely continuous measure (w.r.t. the volume measure ofM) if and only if the discrepancy converges to 0, and the geodesic balls with vanishingv-measure of the boundary constitute a convergence determining class of sets for weak convergence of a sequence of positive measures tov. Estimates for the distance of probability measures with respect to the Kantorovich metric in terms of the discrepancy are obtained. Springer-Verlag, 1990 Monatshefte für Mathematik Springer-Verlag 110/3-4(1990-09-01), 177-188 0026-9255 110:3-4<177 1990 110 605 https://doi.org/10.1007/BF01301674 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01301674 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Blümlinger Martin Institut für Analysis Technische Mathematik und Versicherungsmathematik, Technische Universität Wien, Wiedner Hauptstrasse 8-10, A-1040, Wien, Austria aut NATIONALLICENCE 773 0- Monatshefte für Mathematik Springer-Verlag 110/3-4(1990-09-01), 177-188 0026-9255 110:3-4<177 1990 110 605 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer