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.
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 2018 Apr 1|
ASJC Scopus subject areas
- Applied Mathematics