Pointwise ergodic theorem and strong law of large numbers for random points in a metric space with negative curvature

DOI10.1214/aop/1024404417zbMath0880.60026OpenAlexW2026151561MaRDI QIDQ1356365

Paul Raynaud de Fitte

Publication date: 8 July 1997

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1024404417

zbMATH Keywords

strong law of large numbersergodic theoremrandom setsHausdorff distancemetric spaces with negative curvature

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Geometric probability and stochastic geometry (60D05) Strong limit theorems (60F15) General theory of distance geometry (51K05)

Related Items (5)

The law of large numbers in a metric space with a convex combination operation ⋮ Limit theorems for sequences of random trees ⋮ Approach for a metric space with a convex combination operation and applications ⋮ Summary: On the strong laws of large numbers for double arrays of random variables in convex combination spaces ⋮ On the equivalence of Aumann and Herer expectations of random sets

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