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

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3 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2018 Apr 1


  • 53C23


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