Persons: Oseledets, Valery Iustinovich

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Oseledets, Valery Iustinovich

Statistics Math-Net.Ru
Total publications:	27
Scientific articles:	25
Presentations:	6

Number of views:
This page:	2658
Abstract pages:	10012
Full texts:	3993
References:	590

Professor

Doctor of physico-mathematical sciences (1992)

Speciality:

01.01.05 (Probability theory and mathematical statistics)

Birth date:

25.05.1940

E-mail:

Keywords:

ergodic theorems, Markov chains.

UDC:

517.518.1, 517.9, 517.958, 517.987.5, 519.2, 519.217, 519.27, 621.391.1, 517.938.5, 519.21, 517.863

MSC:

60-xx, 37-xx, 35-xx, 28.70, 34.00

Subject:

Ergodic theory; mathematical physics; statistical physics; random processes.

Main publications:

Markovskie tsepi, kosye proizvedeniya i ergodicheskie teoremy dlya obschikh dinamicheskikh sistem // Teoriya veroyatnostei i ee prilozheniya, 1965, 10, 551–557.
O spektre ergodicheskikh avtomorfizmov // DAN SSSR, 1966, 168, 1009–1011.
Multiplikativnaya ergodicheskaya teorema. Kharakteristicheskie pokazateli Lyapunova dinamicheskikh sistem // Trudy Moskovskogo matematicheskogo obschestva, 1968, 19, 197–231.
Kolmogorovskaya teoriya turbulentnosti i evolyutsiya sostoyanii sistem kletochnykh avtomatov tipa reshetochnogo gaza. Invariantnye sostoyaniya // Teoriya veroyatnostei i ee prilozheniya, 1989, 34,165–177.
Fast dynamo problem for a smooth map on a two-torus // Geophys. and Astrophys. Fluid Dynamics, 1993, 73, 133–145.

http://www.mathnet.ru/eng/person17705

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/200515

Publications in Math-Net.Ru

	2018
1.	Z. I. Bezhaeva, V. I. Oseledets, “Quantum Markov states and quantum hidden Markov states”, Zap. Nauchn. Sem. POMI, 468 (2018), 13–23 ; J. Math. Sci. (N. Y.), 240:5 (2019), 507–514
	2017
2.	Z. I. Bezhaeva, V. L. Kulikov, E. F. Olekhova, V. I. Oseledets, “Erdős measures on the Euclidean space and on the group of $A$-adic integers”, Tr. Mat. Inst. Steklova, 297 (2017), 38–45 ; Proc. Steklov Inst. Math., 297 (2017), 28–34
	2015
3.	Z. I. Bezhaeva, V. I. Oseledets, “Remarks on Quantum Markov States”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 60–65 ; Funct. Anal. Appl., 49:3 (2015), 205–209
	2012
4.	Z. I. Bezhaeva, V. I. Oseledets, “Calculation of the entropy for a hidden Markov chain”, Diskr. Mat., 24:1 (2012), 108–122 ; Discrete Math. Appl., 22:2 (2012), 207–223
5.	Z. I. Bezhaeva, V. I. Oseledets, “The entropy of the Erdos measure for the pseudogolden ratio”, Teor. Veroyatnost. i Primenen., 57:1 (2012), 158–167 ; Theory Probab. Appl., 57:1 (2013), 135–144
	2010
6.	Z. I. Bezhaeva, V. I. Oseledets, “The Erdős–Vershik problem for the golden ratio”, Funktsional. Anal. i Prilozhen., 44:2 (2010), 3–13 ; Funct. Anal. Appl., 44:2 (2010), 83–91
	2006
7.	Z. I. Bezhaeva, V. I. Oseledets, “Erdős measures for the goldenshift and Markov chains of the second order”, Teor. Veroyatnost. i Primenen., 51:1 (2006), 5–21 ; Theory Probab. Appl., 51:1 (2007), 28–41
	2005
8.	Z. I. Bezhaeva, V. I. Oseledets, “Erdős measures, sofic measures, and Markov chains”, Zap. Nauchn. Sem. POMI, 326 (2005), 28–47 ; J. Math. Sci. (N. Y.), 140:3 (2007), 357–368
	2001
9.	V. I. Oseledets, D. V. Khmelev, “Stochastic Transportation Networks and Stability of Dynamical Systems”, Teor. Veroyatnost. i Primenen., 46:1 (2001), 147–154 ; Theory Probab. Appl., 46:1 (2002), 154–161
	2000
10.	V. I. Oseledets, D. V. Khmelev, “Global Stability of Infinite Systems of Nonlinear Differential Equations and Nonhomogeneous Countable Markov Chains”, Probl. Peredachi Inf., 36:1 (2000), 60–76 ; Problems Inform. Transmission, 36:1 (2000), 54–70
	1997
11.	Z. I. Bezhaeva, V. I. Oseledets, “Concerning a stochastic dynamical system”, Mat. Zametki, 61:6 (1997), 803–809 ; Math. Notes, 61:6 (1997), 675–680
12.	N. D. Cong, V. I. Oseledets, “Topological invariants of linear cocycles of an ergodic map”, Tr. Mat. Inst. Steklova, 216 (1997), 243–256 ; Proc. Steklov Inst. Math., 216 (1997), 236–249
	1996
13.	Z. I. Bezhaeva, V. I. Oseledets, “An Example of a Strange Nonchaotic Attractor”, Funktsional. Anal. i Prilozhen., 30:4 (1996), 1–9 ; Funct. Anal. Appl., 30:4 (1996), 223–229
14.	Z. I. Bezhaeva, V. I. Oseledets, “On the symmetric $\sigma$-algebra of a stationary Harris Markov process”, Teor. Veroyatnost. i Primenen., 41:4 (1996), 869–877 ; Theory Probab. Appl., 41:4 (1997), 741–748
15.	Z. I. Bezhaeva, V. I. Oseledets, “On the variance of sums for functions of a stationary Markov process”, Teor. Veroyatnost. i Primenen., 41:3 (1996), 633–639 ; Theory Probab. Appl., 41:3 (1997), 537–541
	1989
16.	V. I. Oseledets, “On a new way of writing the Navier–Stokes equation. The Hamiltonian formalism”, Uspekhi Mat. Nauk, 44:3(267) (1989), 169–170 ; Russian Math. Surveys, 44:3 (1989), 210–211
17.	V. I. Oseledetz, “Kolmogorov's Theory of Turbulence and Evolution of the Lattice-Gas-Type System of Cell Automates. Invariant States”, Teor. Veroyatnost. i Primenen., 34:1 (1989), 165–177 ; Theory Probab. Appl., 34:1 (1989), 140–152
	1983
18.	V. I. Oseledets, “Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 20 (1983), 52–94 ; J. Soviet Math., 25:6 (1984), 1529–1557
	1977
19.	B. M. Gurevich, V. I. Oseledets, “Some mathematical problems related to the nonequilibrium statistical mechanics of infinitely many particles”, Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 14 (1977), 5–39 ; J. Soviet Math., 13:4 (1980), 455–478
	1973
20.	B. M. Gurevich, V. I. Oseledets, “Gibbs distributions and dissipativeness of $U$-diffeomorphisms”, Dokl. Akad. Nauk SSSR, 209:5 (1973), 1021–1023
	1971
21.	V. I. Oseledets, “Two nonisomorphic dynamical systems with the same simple continuous spectrum”, Funktsional. Anal. i Prilozhen., 5:3 (1971), 75–79 ; Funct. Anal. Appl., 5:3 (1971), 233–236
	1969
22.	V. I. Oseledets, “An automorphism with simple, continuous spectrum not having the group property”, Mat. Zametki, 5:3 (1969), 323–326 ; Math. Notes, 5:3 (1969), 196–198
	1968
23.	V. I. Oseledets, “A multiplicative ergodic theorem. Characteristic Ljapunov, exponents of dynamical systems”, Tr. Mosk. Mat. Obs., 19 (1968), 179–210 ; Trans. Moscow Math. Soc., 19 (1968), 197–231
	1966
24.	V. I. Oseledets, “The spectrum of ergodic automorphisms”, Dokl. Akad. Nauk SSSR, 168:5 (1966), 1009–1011
	1965
25.	V. I. Oseledets, “Markov chains, skew products and ergodic theorems for “general” dynamic systems”, Teor. Veroyatnost. i Primenen., 10:3 (1965), 551–557 ; Theory Probab. Appl., 10:3 (1965), 499–504

	1996
26.	S. P. Novikov, L. A. Bunimovich, A. M. Vershik, B. M. Gurevich, E. I. Dinaburg, G. A. Margulis, V. I. Oseledets, S. A. Pirogov, K. M. Khanin, N. N. Chentsova, “Yakov Grigor'evich Sinai (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 51:4(310) (1996), 179–191 ; Russian Math. Surveys, 51:4 (1996), 765–778
27.	B. M. Gurevich, I. A. Ibragimov, R. A. Minlos, I. A. Ovseevich, V. I. Oseledets, M. S. Pinsker, V. V. Prelov, Yu. V. Prokhorov, Ya. G. Sinai, A. S. Holevo, A. N. Shiryaev, “Roland L'vovich Dobrushin (20 July 1919 – 12 November 1995)”, Teor. Veroyatnost. i Primenen., 41:1 (1996), 164–169 ; Theory Probab. Appl., 41:1 (1997), 132–136

Presentations in Math-Net.Ru

1.	Квантовые марковские состояния V. I. Oseledets Dynamical systems and differential equations December 10, 2018 18:30
2.	Erdős measures on euclidean space, on integer $A$-adic numbers and on Heisenberg group V. I. Oseledets General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences May 15, 2017 13:00
3.	Снова о мерах Эрдёша V. I. Oseledets Dynamical systems and statistical physics April 26, 2017 18:30
4.	Erdős measures on Euclidean space and $\widehat{Z}^n$ Valery Oseledets International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov December 22, 2016 12:05
5.	Мера Эрдёша на плоскости: фракталы Бедфорда-Макмюллена и драконы-близнецы V. I. Oseledets Dynamical systems and statistical physics November 2, 2016
6.	Задача Эрдёша и скрытые марковские цепи V. I. Oseledets Dynamical systems and statistical physics October 26, 2016 18:30

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