On the dependence of the limit functions on the random parameters in random ergodic theorems

DOI10.1155/2013/503689zbMath1384.60066OpenAlexW2013546282WikidataQ58916933 ScholiaQ58916933MaRDI QIDQ369995

Takeshi Yoshimoto

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/503689

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (1)

Almost everywhere convergence of multiple operator averages for affine semigroups

Cites Work

• Hopf's ergodic theorem for nonlinear operators
• Nonlinear random ergodic theorems for affine operators
• Ergodic theorems. With a supplement by Antoine Brunel
• Order preserving nonexpansive operators in \(L_ 1\)
• On the a.s. Cesàro-\(\alpha\) convergence for stationary or orthogonal random variables
• Ecole d'ete de probabilités: Processus stochastiques
• Operator-theoretical treatment of Markoff's process and mean ergodic theorem
• On the ergodic theorems (III) (The random ergodic theorem)
• Über den stochastischen Ergodensatz
• Random ergodic theorem with weighted averages
• On the random ergodic theorem
• Random ergodic theorems for sub-Markovian operators
• Linear Modulus of a Linear Operator
• Martingale Convergence and the Radon-Nikodym Theorem in Banach Spaces.
• Remarks on Ergodic Theorems
• A general ergodic theorem
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