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Gordin, Mikhail Iosifovich
(1944–2015)

Associate professor
Candidate of physico-mathematical sciences

https://www.mathnet.ru/eng/person24765
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/307829
https://elibrary.ru/author_items.asp?authorid=5303

Publications in Math-Net.Ru Citations
2015
1. R. Dakovic, M. Denker, M. Gordin, “Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates”, Zap. Nauchn. Sem. POMI, 441 (2015),  163–186  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:5 (2016), 714–730 1
2012
2. M. Gordin, M. Denker, “Poisson limit for two-dimensional toral automorphisms driven by continued fractions”, Zap. Nauchn. Sem. POMI, 408 (2012),  131–153  mathnet  mathscinet; J. Math. Sci. (N. Y.), 199:2 (2014), 139–149  scopus 2
2009
3. M. I. Gordin, “Homoclinic processes and invariant measures for hyperbolic toral automorphisms”, Zap. Nauchn. Sem. POMI, 368 (2009),  122–129  mathnet; J. Math. Sci. (N. Y.), 167:4 (2010), 501–505  scopus 1
4. M. I. Gordin, “Martingale-coboundary representation for a class of stationary random fields”, Zap. Nauchn. Sem. POMI, 364 (2009),  88–108  mathnet; J. Math. Sci. (N. Y.), 163:4 (2010), 363–374  scopus 17
2007
5. F. Götze, M. I. Gordin, A. Levina, “Limit correlation functions at zero for fixed trace random matrix ensembles”, Zap. Nauchn. Sem. POMI, 341 (2007),  68–80  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 147:4 (2007), 6884–6890  elib  scopus 5
2004
6. M. I. Gordin, “A note on the martingale approximation method in proving the central limit theorem for stationary random sequences”, Zap. Nauchn. Sem. POMI, 311 (2004),  124–132  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 133:3 (2006), 1277–1281 3
2003
7. F. Götze, M. Gordin, “Limiting distributions of theta series on Siegel half-spaces”, Algebra i Analiz, 15:1 (2003),  118–147  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:1 (2004), 81–102 3
1999
8. M. I. Gordin, “Double extensions of dynamical systems and a construction of mixing filtrations. II. Quasihyperbolic toral automorphisms”, Zap. Nauchn. Sem. POMI, 260 (1999),  103–118  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 109:6 (2002), 2103–2114 1
1997
9. M. I. Gordin, “Double extensions of dynamical systems and a construction of mixing filtrations”, Zap. Nauchn. Sem. POMI, 244 (1997),  61–72  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 99:2 (2000), 1053–1060 2
10. M. I. Gordin, M. Denker, “Asymptotically Gaussian distribution for random perturbations of rotations of the circle”, Zap. Nauchn. Sem. POMI, 240 (1997),  78–81  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 96:5 (1999), 3493–3495 1
1996
11. M. I. Gordin, “Homoclinic sums criterion for vanishing of spectral density”, Zap. Nauchn. Sem. POMI, 228 (1996),  94–110  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 93:3 (1999), 311–320 1
1995
12. M. I. Gordin, “Some remarks on homoclinic groups of hyperbolic toral automorphisms”, Zap. Nauchn. Sem. POMI, 223 (1995),  140–147  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 87:6 (1997), 4067–4071 1
1994
13. M. I. Gordin, “Extensions of dynamical systems and martingale approximation method”, Zap. Nauchn. Sem. POMI, 216 (1994),  10–19  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 88:1 (1998), 7–12 1
1990
14. M. I. Gordin, “Homoclinical version of CLT”, Zap. Nauchn. Sem. LOMI, 184 (1990),  80–91  mathnet  mathscinet  zmath; J. Math. Sci., 68:4 (1994), 451–458 6
1978
15. M. I. Gordin, В. A. Lifšic, “The central limit theorem for stationary Markov processes”, Dokl. Akad. Nauk SSSR, 239:4 (1978),  766–767  mathnet  mathscinet  zmath 4
1971
16. M. I. Gordin, “Exponentially fast mixing”, Dokl. Akad. Nauk SSSR, 196:6 (1971),  1255–1258  mathnet  mathscinet  zmath
17. M. I. Gordin, “On the behaviour of the variances of sums of random variables that form a stationary process”, Teor. Veroyatnost. i Primenen., 16:3 (1971),  484–494  mathnet  mathscinet  zmath; Theory Probab. Appl., 16:3 (1971), 474–484 7
1969
18. M. I. Gordin, “The central limit theorem for stationary processes”, Dokl. Akad. Nauk SSSR, 188:4 (1969),  739–741  mathnet  mathscinet  zmath 11
1968
19. M. I. Gordin, “Random processes produced by number-theoretic endomorphisms”, Dokl. Akad. Nauk SSSR, 182:5 (1968),  1004–1006  mathnet  mathscinet  zmath

2014
20. V. M. Buchstaber, M. I. Gordin, I. A. Ibragimov, V. A. Kaimanovich, A. A. Kirillov, A. A. Lodkin, S. P. Novikov, A. Yu. Okounkov, G. I. Olshanski, F. V. Petrov, Ya. G. Sinai, L. D. Faddeev, S. V. Fomin, N. V. Tsilevich, Yu. V. Yakubovich, “Anatolii Moiseevich Vershik (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:1(415) (2014),  173–186  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:1 (2014), 165–179  isi

Presentations in Math-Net.Ru
1. Мартингальная аппроксимация и обобщенные кограницы в предельной теории для стационарных цепей Маркова
M. I. Gordin
Seminar on Probability Theory and Mathematical Statistics
March 14, 2014 18:00
2. Статистики фон Мизеса сохраняющих меру преобразований: элементы предельной теории
M. I. Gordin
International conference "Contemporary Problems of Mathematics, Mechanics, and Mathematical Physics" dedicated to the 150th anniversary of V. A. Steklov
May 17, 2013 10:30   
3. Статистики фон Мизеса сохраняющих меру преобразований: предельные распределения невырожденных и канонических статистик
M. I. Gordin
Seminar on Probability Theory and Mathematical Statistics
March 1, 2013 18:00
4. Статистики фон Мизеса сохраняющих меру преобразований: элементы предельной теории
M. I. Gordin
Seminar on Probability Theory and Mathematical Statistics
December 7, 2012 18:00
5. The method of extensions for limit theorems in dynamical systems
Mikhail Gordin
Seminar of Chebyshev Laboratory on Probability Theory
November 15, 2012 13:00
6. Subordination in free probability. II
M. I. Gordin
Seminar on Stochastics
April 29, 2011 15:30
7. Subordination in free probability. I
M. I. Gordin
Seminar on Stochastics
April 22, 2011 15:30
8. Homoclinic structtures in hyperbolic dynamics
M. I. Gordin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
March 20, 1997

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