1
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Kachurovskii A.G.
, Podvigin I.V.
, Khakimbaev A.J.
Maximum rate of norm convergence in the ergodic theorem for groups Z^d and R^d
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2025.
V.22. N1. P.67-83. DOI: 10.33048/semi.2025.22.006
WOS
Scopus
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2
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Kachurovskii A.G.
, Podvigin I.V.
, Todikov V.E.
, Khakimbaev A.Z.
A spectral criterion for power-law convergence rate in the ergodic theorem for Zd and Rd actions
Siberian Mathematical Journal. 2024.
V.65. N1. P.76–95. DOI: 10.1134/S0037446624010099
WOS
Scopus
РИНЦ
РИНЦ
OpenAlex
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3
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Kachurovskii A.G.
, Podvigin I.V.
, Todikov V.E.
Uniform convergence on subspaces in von Neumann's ergodic theorem with continuous time
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2023.
V.20. N1. P.183-206. DOI: 10.33048/semi.2023.20.016
WOS
Scopus
РИНЦ
MathNet
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4
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Kachurovskii A.G.
, Podvigin I.V.
, Khakimbaev A.Z.
Uniform Convergence on Subspaces in the von Neumann Ergodic Theorem with Discrete Time
Mathematical Notes. 2023.
V.113. N5. P.680–693. DOI: 10.1134/S0001434623050073
WOS
Scopus
РИНЦ
OpenAlex
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5
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Kachurovskii A.G.
, Podvigin I.V.
, Svishchev A.A.
A Zero-One Law for the Rates of Convergence in the Birkhoff Ergodic Theorem with Continuous Time
Siberian Advances in Mathematics. 2022.
V.32. N3. P.186-196. DOI: 10.1134/s1055134422030026
Scopus
РИНЦ
OpenAlex
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6
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Kachurovskii A.G.
, Podvigin I.V.
, Svishchev A.A.
The Maximum Pointwise Rate of Convergence in Birkhoff’s Ergodic Theorem
Journal of Mathematical Sciences (United States). 2021.
V.255. N2. P.119-123. DOI: 10.1007/s10958-021-05354-x
Scopus
РИНЦ
OpenAlex
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7
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Kachurovskii A.
, Podvigin I.
To recovering of continuous function by its sequences of Fejer sums at given set of points
Proceedings of the International Geometry Center. 2020.
V.13. N3. P.1-9. DOI: 10.15673/tmgc.v13i3.1757
Scopus
OpenAlex
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8
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Kachurovskii A.G.
The Fejér Integrals and the Von Neumann Ergodic Theorem with Continuous Time
Journal of Mathematical Sciences (United States). 2020.
V.251. N1. P.111-118. DOI: 10.1007/s10958-020-05070-y
Scopus
РИНЦ
OpenAlex
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9
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Kachurovskii A.G.
, Podvigin I.V.
Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem
Mathematical Notes. 2019.
V.106. N1-2. P.52-62. DOI: 10.1134/s0001434619070058
WOS
Scopus
РИНЦ
OpenAlex
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10
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Kachurovskii A.G.
, Podvigin I.V.
Fejér Sums for Periodic Measures and the von Neumann Ergodic Theorem
Doklady Mathematics. 2018.
V.98. N1. P.344-347. DOI: 10.1134/S1064562418050149
WOS
Scopus
РИНЦ
OpenAlex
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11
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Kachurovskii A.G.
, Knizhov K.I.
Deviations of Fejer Sums and Rates of Convergence in the von Neumann Ergodic Theorem
Doklady Mathematics. 2018.
V.97. N3. P.211-214. DOI: 10.1134/S1064562418030031
WOS
Scopus
РИНЦ
OpenAlex
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12
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Kachurovskii A.G.
, Podvigin I.V.
Fejér Sums and Fourier Coefficients of Periodic Measures
Doklady Mathematics. 2018.
V.98. N2. P.464-467. DOI: 10.1134/s1064562418060170
WOS
Scopus
РИНЦ
OpenAlex
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13
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Kachurovskiĭ A.G.
, Podvigin I.V.
Large Deviations of the Ergodic Averages: From Hölder Continuity to Continuity Almost Everywhere
Siberian Advances in Mathematics. 2018.
V.28. N1. P.23-38. DOI: 10.3103/s1055134418010029
Scopus
РИНЦ
OpenAlex
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14
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Kachurovskii A.G.
, Podvigin I.V.
Large deviations and rates of convergence in the Birkhoff ergodic theorem: From Hölder continuity to continuity
Doklady Mathematics. 2016.
V.93. N1. P.6-8. DOI: 10.1134/s106456241601004x
WOS
Scopus
РИНЦ
OpenAlex
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15
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Kachurovskii A.G.
, Podvigin I.V.
Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
Transactions of the Moscow Mathematical Society. 2016.
V.77. P.1-53. DOI: 10.1090/mosc/256
Scopus
РИНЦ
OpenAlex
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16
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Kachurovskii A.G.
, Podvigin I.V.
Correlations, large deviations, and rates of convergence in ergodic theorems for characteristic functions
Doklady Mathematics. 2015.
V.91. N2. P.204-207. DOI: 10.1134/s1064562415020283
WOS
Scopus
РИНЦ
OpenAlex
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17
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Kachurovskii A.G.
, Podvigin I.V.
Rate of convergence in ergodic theorems for the planar periodic Lorentz gas
Doklady Mathematics. 2014.
V.89. N2. P.139-142. DOI: 10.1134/s106456241402001x
WOS
Scopus
РИНЦ
OpenAlex
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18
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Kachurovskii A.G.
, Podvigin I.V.
Large deviations and the rate of convergence in the Birkhoff ergodic theorem
Mathematical Notes. 2013.
V.94. N3-4. P.524-531. DOI: 10.1134/s0001434613090228
WOS
Scopus
РИНЦ
OpenAlex
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19
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Kachurovskii A.G.
, Podvigin I.V.
Rates of convergence in ergodic theorems for certain billiards and Anosov diffeomorphisms
Doklady Mathematics. 2013.
V.88. N1. P.385-387. DOI: 10.1134/s1064562413040029
WOS
Scopus
РИНЦ
OpenAlex
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20
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Kachurovskii A.G.
, Sedalishchev V.V.
On the constants in the estimates of the rate of convergence in the Birkhoff Ergodic theorem
Mathematical Notes. 2012.
V.91. N3-4. P.582-587. DOI: 10.1134/s0001434612030340
WOS
Scopus
РИНЦ
OpenAlex
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21
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Kachurovskii A.G.
, Sedalishchev V.V.
Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
Sbornik Mathematics. 2011.
V.202. N8. P.1105-1125. DOI: 10.1070/sm2011v202n08abeh004180
WOS
Scopus
РИНЦ
OpenAlex
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22
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Dzhulaĭ N.A.
, Kachurovskĭ A.G.
Constants in the estimates of the rate of convergence in von Neumann’s ergodic theorem with continuous time
Siberian Mathematical Journal. 2011.
V.52. N5. P.824-835. DOI: 10.1134/s0037446611050077
WOS
Scopus
РИНЦ
OpenAlex
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23
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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
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24
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Kachurovskii A.G.
, Reshetenko A.V.
On the rate of convergence in von Neumann's ergodic theorem with continuous time
Sbornik Mathematics. 2010.
V.201. N4. P.493-500. DOI: 10.1070/sm2010v201n04abeh004080
WOS
Scopus
РИНЦ
OpenAlex
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25
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Kachurovskii A.G.
General theories unifying ergodic averages and martingales
Proceedings of the Steklov Institute of Mathematics. 2007.
V.256. N1. P.160-187. DOI: 10.1134/s0081543807010099
Scopus
РИНЦ
OpenAlex
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26
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Kachurovskii A.G.
The entropy brick of an automorphism of a Lebesgue space
Mathematical Notes. 2006.
V.80. N5-6. P.885-887. DOI: 10.1007/s11006-006-0212-6
WOS
Scopus
РИНЦ
OpenAlex
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27
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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
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28
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Kachurovskii A.G.
On uniform convergence in the ergodic theorem
Journal of Mathematical Sciences (United States). 1999.
V.95. N5. P.2546-2551. DOI: 10.1007/bf02169054
Scopus
РИНЦ
OpenAlex
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29
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Kachurovskii A.G.
Martingale ergodic theorem
Mathematical Notes. 1998.
V.64. N2. P.266-269. DOI: 10.1007/bf02310315
WOS
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РИНЦ
OpenAlex
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30
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Kachurovskii A.G.
The rate of convergence in ergodic theorems
Russian Mathematical Surveys. 1996.
V.51. N4. P.653-703. DOI: 10.1070/rm1996v051n04abeh002964
WOS
Scopus
РИНЦ
OpenAlex
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31
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Kachurovskii A.G.
Spectral measures and rates of convergence in the Ergodic theorem
Doklady Mathematics. 1996.
V.53. N2. P.240-243.
WOS
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РИНЦ
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32
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Kachurovskii A.G.
Time fluctuations in the statistical ergodic theorem
Mathematical Notes. 1993.
V.52. N1. P.744-745. DOI: 10.1007/bf01247660
WOS
Scopus
РИНЦ
OpenAlex
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33
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Kachurovskii A.G.
Fluctuation of averages in the strong law of large numbers
Mathematical Notes. 1991.
V.50. N5. P.1202-1203. DOI: 10.1007/bf01157712
WOS
Scopus
РИНЦ
OpenAlex
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34
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Kachurovskii A.G.
A fluctuation ergodic theorem
Doklady Mathematics. 1991.
V.43. N2. P.537–539.
WOS
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35
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Kachurovskii A.G.
Boundedness of the fluctuation of mean sequences in the ergodic Birkhoff-Khinchin theorem
Doklady Mathematics. 1991.
V.42. N3. P.810–812.
WOS
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