Podvigin Ivan Viktorovich

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. On convergence rate in ergodic theorem for some statistically averaging sequences in $\mathbb{R}$
   
   Ufimsk. Mat. Zh., 17:2 (2025),  58–70
4. A criterion for the power-law rate of convergence of ergodic means for unitary actions of $\mathbb{Z}^d$ and $\mathbb{R}^d$
   
   Algebra i Analiz, 36:4 (2024),  148–164
5. On convergence rates in the Birkhoff Ergodic Theorem
   
   Sibirsk. Mat. Zh., 65:5 (2024),  991–1010
6. 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
7. On the rate of convergence of ergodic averages for functions of Gordin space
   
   Vladikavkaz. Mat. Zh., 26:2 (2024),  95–102
8. On the power rate of convergence in Wiener's ergodic theorem
   
   Algebra i Analiz, 35:6 (2023),  159–168
9. Uniform Convergence on Subspaces in von Neumann Ergodic Theorem with Discrete Time
   
   Mat. Zametki, 113:5 (2023),  713–730
10. Uniform convergence on subspaces in von Neumann's ergodic theorem with continuous time
    
    Sib. Èlektron. Mat. Izv., 20:1 (2023),  183–206
11. Exponent of Convergence of a Sequence of Ergodic Averages
    
    Mat. Zametki, 112:2 (2022),  251–262
12. On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem
    
    Sibirsk. Mat. Zh., 63:2 (2022),  379–390
13. Zero-One law for the rates of convergence in the Birkhoff ergodic theorem with continuous time
    
    Mat. Tr., 24:2 (2021),  65–80
14. Lower bound of the supremum of ergodic averages for ${\mathbb{Z}^d}$ and ${\mathbb{R}^d}$-actions
    
    Sib. Èlektron. Mat. Izv., 17 (2020),  626–636
15. The maximum pointwise rate of convergence in Birkhoff's ergodic theorem
    
    Zap. Nauchn. Sem. POMI, 498 (2020),  18–25
16. Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem
    
    Mat. Zametki, 106:1 (2019),  40–52
17. On the convergence of the Luzin integral and its analogues
    
    Sib. Èlektron. Mat. Izv., 16 (2019),  85–95
18. Estimates for correlation in dynamical systems: from Hölder continuous functions to general observables
    
    Mat. Tr., 20:2 (2017),  90–119
19. Large deviations of the ergodic averages: from Hölder continuity to continuity almost everywhere
    
    Mat. Tr., 20:1 (2017),  97–120
20. Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
    
    Tr. Mosk. Mat. Obs., 77:1 (2016),  1–66
21. On the rate of convergence in the individual ergodic theorem for the action of a semigroup
    
    Mat. Tr., 18:2 (2015),  93–111
22. On the Exponential Rate of Convergence in the Birkhoff Ergodic Theorem
    
    Mat. Zametki, 95:4 (2014),  638–640
23. Large Deviations and the Rate of Convergence in the Birkhoff Ergodic Theorem
    
    Mat. Zametki, 94:4 (2013),  569–577
24. Diagonal martingale ergodic sequences
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012),  103–107
25. A martingale ergodic theorem
    
    Sibirsk. Mat. Zh., 51:6 (2010),  1422–1429
26. Martingale ergodic and ergodic martingale processes with continuous time
    
    Mat. Sb., 200:5 (2009),  55–70