On barycenters of probability measures

• Autorzy: Berezin Sergey , Miftakhov Azat

Identyfikatory

DOI

10.4064/ba191128-31-3

• Języki publikacji: EN

Abstrakty

EN

A characterization is presented of barycenters of the Radon probability measures supported on a closed convex subset of a given space. A case of particular interest is studied, where the underlying space is itself the space of finite signed Radon measures on a metric compact and where the corresponding support is the convex set of probability measures. For locally compact spaces, a simple characterization is obtained in terms of the relative interior.

Słowa kluczowe

EN

barycenters of measures; characterization of barycenters; space of Radon measures

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2020
• Tom: Vol. 68, no. 1
• Strony: 11--20
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Berezin Sergey

• Aix-Marseille Université Centrale Marseille, CNRS Institut de Mathématiques de Marseille, UMR7373 39, Rue F. Joliot Curie 13453 Marseille, France
• St. Petersburg Department of V. A. Steklov Mathematical Institute of RAS 27, Fontanka 191023 St. Petersburg, Russia

autor

Miftakhov Azat

• Faculty of Mechanics and Mathematics Moscow State University 1, Leninskiye Gory 119991 Moscow, Russia

Bibliografia

• [1] V. I. Bogachev, Measure Theory, Vol. 2, Springer, Berlin, 2007.
• [2] W. Rudin, Functional Analysis, McGraw-Hill, New York, 1991.
• [3] C. Zalinescu, Convex Analysis in General Vector Spaces, World Sci., River Edge, NJ, 2002

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).