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Kachurovskii Alexander Grigoryevich

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Science activity

Articles - 35 , Conference theses - 1 , Conference attendances - 14


Articles (35) More info

1 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
2 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
3 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
4 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
5 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
6 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
7 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
8 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
9 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
10 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
11 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
12 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
13 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
14 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
15 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
16 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
17 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
18 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
19 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
20 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
21 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
22 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
23 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
24 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
25 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
26 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
27 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
28 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
29 Kachurovskii A.G.
Martingale ergodic theorem
Mathematical Notes. 1998. V.64. N2. P.266-269. DOI: 10.1007/bf02310315 WOS Scopus РИНЦ OpenAlex
30 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
31 Kachurovskii A.G.
Spectral measures and rates of convergence in the Ergodic theorem
Doklady Mathematics. 1996. V.53. N2. P.240-243. WOS Scopus РИНЦ
32 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
33 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
34 Kachurovskii A.G.
A fluctuation ergodic theorem
Doklady Mathematics. 1991. V.43. N2. P.537–539. WOS
35 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

Conference theses (1) More info

1 Kachurovskii A.G.
Rates of convergence in the von Neumann ergodic theorem
In compilation School and Workshop on Random Point Processes. PROGRAM AND ABSTRACTS. Suzdal, Russia, November 1-5, 2022. – Steklov Mathematical Institute., 2022.

Conference attendances (14) More info

1 Kachurovskii A.G.
Measuring the rate of convergence in the Birkhoff ergodic theorem
Algebraic and Geometric Methods of Analysis 25-28 May 2021
2 Kachurovskii A.G.
Von Neumann’s ergodic theorem and Fejer sums for signed measures on the circle
Topological methods in dynamics and related topics 12-13 Dec 2020
3 Kachurovskii A.G.
Fejer Sums and the von Neumann Ergodic Theorem
Algebraic and geometric methods of analysis 26-30 May 2020
4 Kachurovskii A.G.
Fejer sums and the von Neumann ergodic theorem
Topology, Geometry, and Dynamics 19-23 Aug 2019
5 Kachurovskii A.G.
Fejer sums and the von Neumann ergodic theorem
Topological methods in dynamics and related topics 03-06 Jan 2019
6 Kachurovskii A.G.
Fejer sums for periodical measures and the von Neumann ergodic theorem
Дни геометрии в Новосибирске-2018 19-22 Sep 2018
7 Kachurovskii A.G.
Fejer sums for periodical measures and the von Neumann ergodic theorem
"Youth Workshop on Analysis. June 27–29, 2018, Novosibirsk, IM SO RAN - RMC NSU" 27-29 Jun 2018
8 Kachurovskii A.G.
Rates of convergence in the von Neumann ergodic theorem
Дни геометрии в Новосибирске-2017 20-23 Sep 2017
9 Kachurovskii A.G.
Rates of convergence in ergodic theorems for Anosov diffeomorphisms
Системы Аносова и современная динамика 19-23 Dec 2016
10 Kachurovskii A.G.
General theories unifying ergodic averages and martingales
Ergodic Theorems and Applications in Probability 03-08 May 2015
11 Kachurovskii A.G.
Rates of convergence in ergodic theorems
Probability, Ergodic Theory, Dynamical Systems and related fields 09-11 Apr 2014
12 Kachurovskii A.G.
Estimates of the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
Ergodic Theory Workshop 03-06 Apr 2014
13 Kachurovskii A.G.
On the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
Ergodic Theory Workshop 17-20 Mar 2011
14 Kachurovskii A.G.
Unification of ergodic and martingale convergence theorems
Колмогоров и современная математика 16-21 Jun 2003

Identifiers

ORCID: 0000-0002-2747-2660
Scopus ID: 55904525500
ResearcherID: N-2379-2013
MathNet: 17305
Elibrary ID: 122643

Degrees

2000 - Dr.Sc.

1987 - Ph.D.

Academic titles

2007 - Associate professor