Strong law of large numbers for iterates of some random-valued functions

DOI10.1007/s00025-021-01586-0zbMath1493.37068OpenAlexW4206419334WikidataQ114852548 ScholiaQ114852548MaRDI QIDQ2073930

Rafał Kapica, Karol Baron

Publication date: 3 February 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01586-0

zbMATH Keywords

strong law of large numbersconvergence in lawalmost sure convergencerandom-valued functions

Mathematics Subject Classification ID

Strong limit theorems (60F15) Iteration theory, iterative and composite equations (39B12) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Random iteration (37H12)

Cites Work

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• The geometric rate of convergence of random iteration in the Hutchinson distance
• Weak law of large numbers for iterates of random-valued functions
• Continuous solutions to two iterative functional equations
• Weak limit of iterates of some random-valued functions and its application
• A General Approach to the Strong Law of Large Numbers
• Real Analysis and Probability
• Convergence of sequences of iterates of random-valued vector functions