Persons: Podvigin, Ivan Viktorovich

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Podvigin, Ivan Viktorovich

Statistics
Total publications:	27
Scientific articles:	27
Presentations:	7

Number of views:
This page:	4738
Abstract pages:	10676
Full texts:	3415
References:	2102

Doctor of physico-mathematical sciences (2023)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

Birth date:

9.04.1985

E-mail:

;

Keywords:

ergodic theorems, correlations, large deviations, rates of convergence in the ergodic theorems, invariant measures

Subject:

Unification of ergodic averages and martingales, rates of convergence in the ergodic theorems, large deviations, estimates of correlations

https://www.mathnet.ru/eng/person42193

https://scholar.google.com/citations?user=RYZf3YsAAAAJ&hl=en

https://zbmath.org/authors/ai:podvigin.i-v

https://mathscinet.ams.org/mathscinet/MRAuthorID/876427

https://elibrary.ru/author_items.asp?spin=7624-1359

https://www.webofscience.com/wos/author/record/H-5669-2012

https://www.scopus.com/authid/detail.url?authorId=35099208700

https://www.researchgate.net/profile/Ivan-Podvigin

https://arxiv.org/a/podvigin_i_1

	Publications in Math-Net.Ru	Citations
	2025
1.	A. G. Kachurovskii, I. V. Podvigin, V. È. Todikov, “Convergence rates in the ergodic theorem for unitary actions of compactly generated abelian groups”, Sibirsk. Mat. Zh., 66:3 (2025), 438–449 ; Siberian Math. J., 66:3 (2025), 691–701	1
2.	A. G. Kachurovskii, I. V. Podvigin, V. E. Todikov, “Correlations and rates of convergence in general ergodic theorems”, Teor. Veroyatnost. i Primenen., 70:4 (2025), 672–689
3.	I. V. Podvigin, “On convergence rate in ergodic theorem for some statistically averaging sequences in $\mathbb{R}$”, Ufimsk. Mat. Zh., 17:2 (2025), 58–70 ; Ufa Math. J., 17:2 (2025), 56–68
	2024
4.	I. V. Podvigin, “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 ; St. Petersburg Math. J., 36:4 (2025), 607–618	2
5.	I. V. Podvigin, “On convergence rates in the Birkhoff Ergodic Theorem”, Sibirsk. Mat. Zh., 65:5 (2024), 991–1010 ; Siberian Math. J., 65:5 (2024), 1170–1186	1
6.	A. G. Kachurovskii, I. V. Podvigin, V. E. Todikov, A. J. Khakimbaev, “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 ; Siberian Math. J., 65:1 (2024), 76–95	4
7.	I. V. Podvigin, “On the rate of convergence of ergodic averages for functions of Gordin space”, Vladikavkaz. Mat. Zh., 26:2 (2024), 95–102
	2023
8.	I. V. Podvigin, “On the power rate of convergence in Wiener's ergodic theorem”, Algebra i Analiz, 35:6 (2023), 159–168 ; St. Petersburg Math. J., 35:6 (2024), 1013–1019	2
9.	A. G. Kachurovskii, I. V. Podvigin, A. J. Khakimbaev, “Uniform Convergence on Subspaces in von Neumann Ergodic Theorem with Discrete Time”, Mat. Zametki, 113:5 (2023), 713–730 ; Math. Notes, 113:5 (2023), 680–693	2
10.	A. G. Kachurovskii, I. V. Podvigin, V. E. Todikov, “Uniform convergence on subspaces in von Neumann's ergodic theorem with continuous time”, Sib. Èlektron. Mat. Izv., 20:1 (2023), 183–206	4
	2022
11.	I. V. Podvigin, “Exponent of Convergence of a Sequence of Ergodic Averages”, Mat. Zametki, 112:2 (2022), 251–262 ; Math. Notes, 112:2 (2022), 271–280	2
12.	I. V. Podvigin, “On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem”, Sibirsk. Mat. Zh., 63:2 (2022), 379–390 ; Siberian Math. J., 63:2 (2022), 316–325	4
	2021
13.	A. G. Kachurovskii, I. V. Podvigin, A. A. Svishchev, “Zero-One law for the rates of convergence in the Birkhoff ergodic theorem with continuous time”, Mat. Tr., 24:2 (2021), 65–80	3
	2020
14.	I. V. Podvigin, “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	5
15.	A. G. Kachurovskii, I. V. Podvigin, A. A. Svishchev, “The maximum pointwise rate of convergence in Birkhoff's ergodic theorem”, Zap. Nauchn. Sem. POMI, 498 (2020), 18–25	5
	2019
16.	A. G. Kachurovskii, I. V. Podvigin, “Measuring the Rate of Convergence in the Birkhoff Ergodic Theorem”, Mat. Zametki, 106:1 (2019), 40–52 ; Math. Notes, 106:1 (2019), 52–62	12
17.	K. I. Knizhov, I. V. Podvigin, “On the convergence of the Luzin integral and its analogues”, Sib. Èlektron. Mat. Izv., 16 (2019), 85–95
	2017
18.	I. V. Podvigin, “Estimates for correlation in dynamical systems: from Hölder continuous functions to general observables”, Mat. Tr., 20:2 (2017), 90–119 ; Siberian Adv. Math., 28:3 (2018), 187–206	2
19.	A. G. Kachurovskiĭ, I. V. Podvigin, “Large deviations of the ergodic averages: from Hölder continuity to continuity almost everywhere”, Mat. Tr., 20:1 (2017), 97–120 ; Siberian Adv. Math., 28:1 (2018), 23–38	4
	2016
20.	A. G. Kachurovskii, I. V. Podvigin, “Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems”, Tr. Mosk. Mat. Obs., 77:1 (2016), 1–66 ; Trans. Moscow Math. Soc., 77 (2016), 1–53	31
	2015
21.	I. V. Podvigin, “On the rate of convergence in the individual ergodic theorem for the action of a semigroup”, Mat. Tr., 18:2 (2015), 93–111 ; Siberian Adv. Math., 26:2 (2016), 139–151	5
	2014
22.	I. V. Podvigin, “On the Exponential Rate of Convergence in the Birkhoff Ergodic Theorem”, Mat. Zametki, 95:4 (2014), 638–640 ; Math. Notes, 95:4 (2014), 573–576	1
	2013
23.	A. G. Kachurovskii, I. V. Podvigin, “Large Deviations and the Rate of Convergence in the Birkhoff Ergodic Theorem”, Mat. Zametki, 94:4 (2013), 569–577 ; Math. Notes, 94:4 (2013), 524–531	13
	2012
24.	I. V. Podvigin, “Diagonal martingale ergodic sequences”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 12:2 (2012), 103–107 ; J. Math. Sci., 198:5 (2014), 602–607	1
	2010
25.	I. V. Podvigin, “A martingale ergodic theorem”, Sibirsk. Mat. Zh., 51:6 (2010), 1422–1429 ; Siberian Math. J., 51:6 (2010), 1125–1130	3
	2009
26.	I. V. Podvigin, “Martingale ergodic and ergodic martingale processes with continuous time”, Mat. Sb., 200:5 (2009), 55–70 ; Sb. Math., 200:5 (2009), 683–696	3

Presentations in Math-Net.Ru

1.	On the comparison of convergence rates of classical ergodic averages for unitary actions of the group $\mathbb{R}^d$ I. V. Podvigin International conference "Theory of functions and its applications" dedicated to the 120th anniversary of S. M. Nikol'skii July 4, 2025 15:25
2.	Rate of convergence of ergodic averages for Z^2 and R^2 actions via estimates of spectral measure I. V. Podvigin III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 11, 2023 13:10
3.	On the pointwise rate of convergence in the Birkhoff ergodic theorem: recent results I. V. Podvigin School and Workshop on Random Point Processes November 2, 2022 17:00
4.	Оценки скоростей сходимости в эргодической теореме Биркгофа I. V. Podvigin Seminar on Probability Theory and Mathematical Statistics October 7, 2022 18:00
5.	О скорости сходимости в эргодической теореме Биркгофа I. V. Podvigin Mathematical Colloquium of the Sobolev Institute of Mathematics December 23, 2021 16:30
6.	Об измерении скоростей сходимости в эргодической теореме Биркгофа I. V. Podvigin Dynamical systems and differential equations October 2, 2017 18:30
7.	Estimates of correlations in dynamical systems: from Hölder continuous to general observables Ivan Podvigin International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov December 22, 2016 17:00

Organisations

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

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