Moving Averages of Ergodic Processes.
A. del Junco, J.M. Steele (1977)
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Displaying similar documents to “Moving Shift Averages for Ergodic Transformations.”
Moving Averages of Ergodic Processes.
Ergodic theory of Random transformations. Progress in Probability and statistics - Y. Kifer.
F. Ledrappier (1987)
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Asymptotic Optimal Inference for Non-ergodic Models - Basava, I. V.; Scott, D.J.
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Some thoughts about Segal's ergodic theorem
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Over fifty years ago, Irving Segal proved a theorem which leads to a characterization of those orthogonal transformations on a Hilbert space which induce ergodic transformations. Because Segal did not present his result in a way which made it readily accessible to specialists in ergodic theory, it was difficult for them to appreciate what he had done. The purpose of this note is to state and prove Segal's result in a way which, I hope, will win it the recognition which it deserves. ...
Ergodic seminorms for commuting transformations and applications
Bernard Host (2009)
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Recently, T. Tao gave a finitary proof of a convergence theorem for multiple averages with several commuting transformations, and soon thereafter T. Austin gave an ergodic proof of the same result. Although we give here another proof of the same theorem, this is not the main goal of this paper. Our main concern is to provide tools for the case of several commuting transformations, similar to the tools successfully used in the case of a single transformation, with the idea that they may...
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Donald S. Ornstein (1975)
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Convergence of multiple ergodic averages along cubes for several commuting transformations
Qing Chu (2010)
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We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the "magic extension" established recently by B. Host.
Finite generators of ergodic endomorphisms
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A note on a mean ergodic theorem
A. Al-Hussaini (1974)
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Hopf's ratio ergodic theorem by inducing
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We present a very quick and easy proof of the classical Stepanov-Hopf ratio ergodic theorem, deriving it from Birkhoff's ergodic theorem by a simple inducing argument.
On the Pointwise Ergodic Behaviour of Transformations Preserving Infinite Measures
Jon Aaronson (1977)
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The filling scheme and the ergodic theorems of Kesten and Tanny
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A remark on the existence of the ergodic Hilbert transform
J. Woś (1987)
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