Kachurovskii Alexander Grigoryevich

Publications in Math-Net.Ru

1. Convergence rates in the ergodic theorem for unitary actions of compactly generated abelian groups
   
   Sibirsk. Mat. Zh., 66:3 (2025),  438–449
2. Correlations and rates of convergence in general ergodic theorems
   
   Teor. Veroyatnost. i Primenen., 70:4 (2025),  672–689
3. A spectral criterion for power-law convergence rate in the ergodic theorem for ${\Bbb Z}^d$ and ${\Bbb R}^d$ actions
   
   Sibirsk. Mat. Zh., 65:1 (2024),  92–114
4. Uniform Convergence on Subspaces in von Neumann Ergodic Theorem with Discrete Time
   
   Mat. Zametki, 113:5 (2023),  713–730
5. Uniform convergence on subspaces in von Neumann's ergodic theorem with continuous time
   
   Sib. Èlektron. Mat. Izv., 20:1 (2023),  183–206
6. Zero-One law for the rates of convergence in the Birkhoff ergodic theorem with continuous time
   
   Mat. Tr., 24:2 (2021),  65–80
7. Von Neumann's ergodic theorem and Fejer sums for signed measures on the circle
   
   Sib. Èlektron. Mat. Izv., 17 (2020),  1313–1321
8. The maximum pointwise rate of convergence in Birkhoff's ergodic theorem
   
   Zap. Nauchn. Sem. POMI, 498 (2020),  18–25
9. Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem
   
   Mat. Zametki, 106:1 (2019),  40–52
10. The Fejer integrals and the von Neumann ergodic theorem with continuous time
    
    Zap. Nauchn. Sem. POMI, 474 (2018),  171–182
11. Large deviations of the ergodic averages: from Hölder continuity to continuity almost everywhere
    
    Mat. Tr., 20:1 (2017),  97–120
12. Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
    
    Tr. Mosk. Mat. Obs., 77:1 (2016),  1–66
13. Large Deviations and the Rate of Convergence in the Birkhoff Ergodic Theorem
    
    Mat. Zametki, 94:4 (2013),  569–577
14. On the Constants in the Estimates of the Rate of Convergence in the Birkhoff Ergodic Theorem
    
    Mat. Zametki, 91:4 (2012),  624–628
15. Constants in estimates for the rates of convergence in von Neumann's and Birkhoff's ergodic theorems
    
    Mat. Sb., 202:8 (2011),  21–40
16. Constants in the estimates of the rate of convergence in von Neumann's ergodic theorem with continuous time
    
    Sibirsk. Mat. Zh., 52:5 (2011),  1039–1052
17. On the Constants in the Estimates of the Rate of Convergence in von Neumann's Ergodic Theorem
    
    Mat. Zametki, 87:5 (2010),  756–763
18. On the rate of convergence in von Neumann's ergodic theorem with continuous time
    
    Mat. Sb., 201:4 (2010),  25–32
19. General Theories Unifying Ergodic Averages and Martingales
    
    Trudy Mat. Inst. Steklova, 256 (2007),  172–200
20. The entropy brick of an automorphism of a Lebesgue space
    
    Mat. Zametki, 80:6 (2006),  943–945
21. Convergence of averages in the ergodic theorem for groups $\mathbb Z^d$
    
    Zap. Nauchn. Sem. POMI, 256 (1999),  121–128
22. Martingale ergodic theorem
    
    Mat. Zametki, 64:2 (1998),  311–314
23. Spectral measures and convergence rates in the ergodic theorem
    
    Dokl. Akad. Nauk, 347:5 (1996),  593–596
24. The rate of convergence in ergodic theorems
    
    Uspekhi Mat. Nauk, 51:4(310) (1996),  73–124
25. Fluctuation of means in the Birkhoff-Khinchin ergodic theorem
    
    Trudy Inst. Mat. SO RAN, 21 (1992),  52–86
26. Time fluctuations in the statistical ergodic theorem
    
    Mat. Zametki, 52:1 (1992),  146–148
27. A fluctuation ergodic theorem
    
    Dokl. Akad. Nauk SSSR, 317:4 (1991),  823–826
28. Fluctuation of averages in the strong law of large numbers
    
    Mat. Zametki, 50:5 (1991),  151–153
29. Boundedness of the fluctuation of mean sequences in the ergodic Birkhoff–Khinchin theorem
    
    Dokl. Akad. Nauk SSSR, 315:3 (1990),  530–532
30. Existence of an invariant measure in topological dynamical systems
    
    Sibirsk. Mat. Zh., 27:4 (1986),  203–207