On the constants in the estimates of the rate of convergence in von Neumann’s ergodic theorem Full article
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Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2010, Volume: 87, Number: 5-6, Pages: 720-727 Pages count : 8 DOI: 10.1134/s000143461005010x | ||||
| Tags | Correlation coefficient; Darboux sum; Dynamical system; Ergodic mean; Spectral measure; Von Neumann's ergodic theorem; Wide-sense stationary stochastic process | ||||
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Abstract:
We study the rate of convergence in von Neumann’s ergodic theorem. We obtain constants connecting the power rate of convergence of ergodic means and the power singularity at zero of the spectral measure of the corresponding dynamical system (these concepts are equivalent to each other). All the results of the paper have obvious exact analogs for wide-sense stationary stochastic processes.
Cite:
Kachurovskii A.G.
, Sedalishchev V.V.
On the constants in the estimates of the rate of convergence in von Neumann’s ergodic theorem
Mathematical Notes. 2010. V.87. N5-6. P.720-727. DOI: 10.1134/s000143461005010x WOS Scopus РИНЦ OpenAlex
On the constants in the estimates of the rate of convergence in von Neumann’s ergodic theorem
Mathematical Notes. 2010. V.87. N5-6. P.720-727. DOI: 10.1134/s000143461005010x WOS Scopus РИНЦ OpenAlex
Original:
Качуровский А.Г.
, Седалищев В.В.
О константах оценок скорости сходимости в эргодической теореме фон Неймана
Математические заметки. 2010. Т.87. №5. С.756-763. DOI: 10.4213/mzm8718 РИНЦ MathNet OpenAlex
О константах оценок скорости сходимости в эргодической теореме фон Неймана
Математические заметки. 2010. Т.87. №5. С.756-763. DOI: 10.4213/mzm8718 РИНЦ MathNet OpenAlex
Identifiers:
| Web of science: | WOS:000279600700010 |
| Scopus: | 2-s2.0-77954406935 |
| Elibrary: | 15316090 |
| OpenAlex: | W2077261494 |