Subadditive ergodic theorems for random sets in infinite dimensions
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Publication:1593731
DOI10.1016/S0167-7152(00)00156-5zbMath0970.60034WikidataQ127944415 ScholiaQ127944415MaRDI QIDQ1593731
Publication date: 16 October 2001
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Stationary stochastic processes (60G10) Strong limit theorems (60F15) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Related Items (3)
Strong law of large numbers for t-normed arithmetics ⋮ Convergence to convex compact sets in infinite dimensions. ⋮ Large time average of reachable sets and applications to homogenization of interfaces moving with oscillatory spatio-temporal velocity
Cites Work
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- Convexification in limit laws of random sets in Banach spaces
- An improved subadditive ergodic theorem
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- Almost subadditive extensions of Kingman's ergodic theorem
- A strong law of large numbers for random compact sets
- Strong law of large numbers for Banach space valued random sets
- An elementary proof of the strong law of large numbers
- Ergodic theorems for subadditive superstationary families of convex compact random sets
- Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
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