Convergence for moving averages

DOI10.1017/S0143385700005381zbMath0674.60035WikidataQ56565316 ScholiaQ56565316MaRDI QIDQ3828814

Roger L. Jones, Joseph Max Rosenblatt, Alexandra Ionescu Tulcea

Publication date: 1990

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

moving averagesaveraging operatorsergodic measure preserving point transformation

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Strong limit theorems (60F15)

Related Items (18)

On Schneider's continued fraction map on a complete non-Archimedean field ⋮ Multifractal analysis on the level sets described by moving averages ⋮ On moving averages and asymptotic equipartition of information ⋮ Good functions for translations ⋮ Haas-Molnar continued fractions and metric Diophantine approximation ⋮ Boundary distortion rate in synchronized systems: geometrical meaning of entropy ⋮ Optimal continued fractions and the moving average ergodic theorem ⋮ Régularisation spectrale et propriétés métriques des moyennes mobiles (Spectral regularization and metric properties of moving averages) ⋮ Moving averages in the plane ⋮ Full divergence and maximal functions with cancellation ⋮ Multivariable averaging on sparse sets ⋮ Norm convergence of moving averages for \(\tau\)-integrable operators ⋮ On good universality and the Riemann hypothesis ⋮ Good and Bad Functions for Bad Processes ⋮ Subsequence pointwise ergodic theorems for operators in \(L^ p\) ⋮ Moving averages of superadditive processes with respect to \(L_p\)-contractions, \(1<p<\infty\) ⋮ ON THE METRIC THEORY OF CONTINUED FRACTIONS IN POSITIVE CHARACTERISTIC ⋮ Almost everywhere convergence of weighted averages

Cites Work

• On limits of sequences of operators
• On certain maximal functions and approach regions
• Ergodic group actions
• Maximal inequalities of weak type
• On sequences of density zero in ergodic theory
• The Weighted Pointwise Ergodic Theorem and the Individual Ergodic Theorem Along Subsequences
• Shorter Notes: Convergence of Averages of Point Transformations
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
• Unnamed Item

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