Convergence of averages in the ergodic theorem for groups Z^d Full article
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Journal of Mathematical Sciences (United States)
ISSN: 1072-3374 , E-ISSN: 1573-8795 |
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| Output data | Year: 2001, Volume: 107, Number: 5, Pages: 4231-4236 Pages count : 6 DOI: 10.1023/a:1012425724804 | ||
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Abstract:
Some estimates of the rates of convergence in the ergodic theorem for actions of groups Z^d are given. Moreover, a martingale-ergodic theorem for Zd is proved. This theorem may be considered as an ergodic theorem in which the exact initial coordinates of points in the phase space are gradually forgotten.
Cite:
Kachurovskii A.G.
Convergence of averages in the ergodic theorem for groups Z^d
Journal of Mathematical Sciences (United States). 2001. V.107. N5. P.4231-4236. DOI: 10.1023/a:1012425724804 Scopus РИНЦ OpenAlex
Convergence of averages in the ergodic theorem for groups Z^d
Journal of Mathematical Sciences (United States). 2001. V.107. N5. P.4231-4236. DOI: 10.1023/a:1012425724804 Scopus РИНЦ OpenAlex
Original:
Качуровский А.Г.
О сходимости средних в эргодической теореме для групп Z^d
Записки научных семинаров ПОМИ. 1999. Т.256. С.121–128. MathNet
О сходимости средних в эргодической теореме для групп Z^d
Записки научных семинаров ПОМИ. 1999. Т.256. С.121–128. MathNet
Identifiers:
| Scopus: | 2-s2.0-52549109057 |
| Elibrary: | 26757015 |
| OpenAlex: | W32084183 |