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

Takumi Yokota

doi:10.1007/s00526-018-1310-5

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

Takumi Yokota

Research output: Contribution to journal › Article › peer-review

2 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 language	English
Article number	35
Journal	Calculus of Variations and Partial Differential Equations
Volume	57
Issue number	2
DOIs	https://doi.org/10.1007/s00526-018-1310-5
Publication status	Published - 2018 Apr 1
Externally published	Yes

Keywords

53C23

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/s00526-018-1310-5

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