Criterion for Exact Power Asymptotics in von Neumann’s Ergodic Theorem Full article
| Journal |
Mathematical Notes
ISSN: 0001-4346 , E-ISSN: 1573-8876 |
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| Output data | Year: 2026, Volume: 119, Number: 5-6, Pages: 911-918 Pages count : 8 DOI: 10.1134/s0001434626602741 | ||||
| Tags | convergence rate in ergodic theorem, spectral measure, distribution. | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0022 |
Abstract:
Aspectral criterion for the exact power-law asymptotics of the norms of deviations from the limit of ergodic means in the von Neumann theorem is obtained for all possible exponents. This result strengthens and generalizes Ibragimov–Linnik’s theorem on asymptotics of these norms in the case of the existence of a spectral measure density continuous at the origin.
Cite:
Elovatskii S.S.
, Podvigin I.V.
Criterion for Exact Power Asymptotics in von Neumann’s Ergodic Theorem
Mathematical Notes. 2026. V.119. N5-6. P.911-918. DOI: 10.1134/s0001434626602741 WOS Scopus РИНЦ OpenAlex
Criterion for Exact Power Asymptotics in von Neumann’s Ergodic Theorem
Mathematical Notes. 2026. V.119. N5-6. P.911-918. DOI: 10.1134/s0001434626602741 WOS Scopus РИНЦ OpenAlex
Original:
Еловацкий C.C.
, Подвигин И.В.
Критерий точной степенной асимптотики в эргодической теореме фон Неймана
Математические заметки. 2026. Т.119. №5. С.699-708. DOI: 10.4213/mzm14854 OpenAlex
Критерий точной степенной асимптотики в эргодической теореме фон Неймана
Математические заметки. 2026. Т.119. №5. С.699-708. DOI: 10.4213/mzm14854 OpenAlex
Dates:
| Submitted: | Sep 17, 2025 |
| Accepted: | Dec 15, 2025 |
| Published print: | Jul 26, 2026 |
| Published online: | Jul 26, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001831114400003 |
| ≡ Scopus: | 2-s2.0-105045638170 |
| ≡ Elibrary: | 91841343 |
| ≡ OpenAlex: | W7171331933 |