Law of large numbers in CAT(1)-spaces of small radii

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3 Citations (Scopus)

Abstract

We prove the law of large numbers formulated with barycenter of probability measures for random variables with values in small balls in CAT(1)-spaces. This extends the previous results in CAT(0)-spaces and CAT(1)-spaces of small diameters by Sturm and Ohta–Pálfia.

Original languageEnglish
Article number35
JournalCalculus of Variations and Partial Differential Equations
Volume57
Issue number2
DOIs
Publication statusPublished - 2018 Apr 1

Keywords

  • 53C23

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