Edit Profile (opens in new tab) Gordin, Mikhail Iosifovich (b. 1944 d. 2015) Co-Author Distance Author ID: gordin.mikhail Published as: Gordin, M. I.; Gordin, Mikhail; Gordin, M.; Gordin, Mikhaĭl Iosifovich more...less External Links: MGP · Math-Net.Ru Documents Indexed: 38 Publications since 1968 Biographic References: 4 Publications Co-Authors: 23 Co-Authors with 20 Joint Publications 1,261 Co-Co-Authors all top 5 Co-Authors 18 single-authored 10 Denker, Manfred 3 Götze, Friedrich 2 Weber, Michel Jean Georges 1 Bukhshtaber, Viktor Matveevich 1 Dakovic, Rada 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Sergey Vladimirovich 1 Heinemann, Stefan-M. 1 Holzmann, Hajo 1 Ibragimov, Il’dar Abdullovich 1 Kaimanovich, Vadim A. 1 Kirillov, Alexandre Aleksandrovich 1 Lifshits, B. A. 1 Lodkin, A. A. 1 Novikov, Sergeĭ Petrovich 1 Okun’kov, Andreĭ Yur’evich 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Peligrad, Magda 1 Petrov, Fedor Vladimirovich 1 Reznik, M. Kh. 1 Sharova, Anastasya 1 Sinaĭ, Yakov Grigor’evich 1 Tsilevich, Natalia V. all top 5 Serials 12 Journal of Mathematical Sciences (New York) 4 Soviet Mathematics. Doklady 3 Zapiski Nauchnykh Seminarov POMI 2 Probability Theory and Related Fields 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Russian Mathematical Surveys 1 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Illinois Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Journal of Theoretical Probability 1 St. Petersburg Mathematical Journal 1 Bernoulli 1 RIMS Kokyuroku 1 Stochastics and Dynamics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 30 Probability theory and stochastic processes (60-XX) 15 Dynamical systems and ergodic theory (37-XX) 7 Measure and integration (28-XX) 4 Number theory (11-XX) 2 History and biography (01-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 368 times in 285 Documents Cited by ▼ Year ▼ The central limit theorem for stationary processes. Zbl 0212.50005 Gordin, M. I. 178 1969 The central limit theorem for stationary Markov processes. Zbl 0395.60057 Gordin, M. I.; Lifshits, B. A. 44 1978 A Poisson limit theorem for toral automorphisms. Zbl 1040.37006 Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya 17 2004 Gibbs measures for fibred systems. Zbl 0963.37005 Denker, Manfred; Gordin, Mikhail 16 1999 On the functional central limit theorem via martingale approximation. Zbl 1284.60070 Gordin, Mikhail; Peligrad, Magda 15 2011 Martingale-coboundary representation for a class of random fields. Zbl 1288.60066 Gordin, M. 15 2009 On the behavior of the variances of sums of random variables forming a stationary process. Zbl 0255.60025 Gordin, M. I. 8 1971 Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007 Denker, Manfred; Gordin, Mikhail 8 2014 On the relative variational principle for fibre expanding maps. Zbl 1023.37017 Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M. 8 2002 Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016 Götze, Friedrich; Gordin, Mikhail 7 2008 Homoclinic approach to the central limit theorem for dynamical systems. Zbl 0799.60021 Gordin, Mikhail 7 1993 Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026 Götze, F.; Gordin, M. I.; Levina, A. 6 2007 The central limit theorem for stationary Markov chains under invariant splittings. Zbl 1077.60023 Gordin, Mikhail; Holzmann, Hajo 6 2004 The law of the iterated logarithm for denominators of continued fractions. Zbl 0208.33201 Gordin, M. I.; Reznik, M. Kh. 5 1970 Stochastic processes generated by number-theoretic endomorphisms. Zbl 0174.49103 Gordin, M. I. 4 1968 A homoclinic version of the central limit theorem. Zbl 0836.60017 Gordin, M. I. 4 1994 Exponentially fast mixing. Zbl 0269.60028 Gordin, M. I. 3 1971 Remarks on Gibbs measures for fibred systems. Zbl 0963.37006 Denker, Manfred; Gordin, Mikhail 2 1998 The central limit theorem for random perturbations of rotations. Zbl 0935.60012 Denker, Manfred; Gordin, Mikhail 2 1998 Limiting distributions of theta series on Siegel half-spaces. Zbl 1046.11025 Götze, F.; Gordin, M. 2 2004 Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009 Gordin, M.; Denker, M. 2 2014 On the almost sure central limit theorem for a class of \(Z^d\)-actions. Zbl 1023.60035 Gordin, Mikhail; Weber, Michel 2 2002 Double extensions of dynamical systems and constructing mixing filtrations. Zbl 0973.37004 Gordin, M. I. 1 1997 A remark on the martingale approximation method for proving the central limit theorem for stationary random sequences. Zbl 1079.60507 Gordin, M. I. 1 2004 Double extensions of dynamical systems and the construction of mixing filtrations. II: Quasihyperbolic toral automorphisms. Zbl 1163.37300 Gordin, M. I. 1 1999 The homoclinic version of the central limit theorem. Zbl 0742.60022 Gordin, M. I. 1 1990 Extensions of dynamical systems and the martingale approximation method. Zbl 0898.60011 Gordin, M. I. 1 1994 Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates. Zbl 1356.81231 Dakovic, R.; Denker, M.; Gordin, M. 1 2016 CLT for stationary normal Markov chains via generalized coboundaries. Zbl 1274.60066 Gordin, Mikhail 1 2013 Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates. Zbl 1356.81231 Dakovic, R.; Denker, M.; Gordin, M. 1 2016 Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007 Denker, Manfred; Gordin, Mikhail 8 2014 Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009 Gordin, M.; Denker, M. 2 2014 CLT for stationary normal Markov chains via generalized coboundaries. Zbl 1274.60066 Gordin, Mikhail 1 2013 On the functional central limit theorem via martingale approximation. Zbl 1284.60070 Gordin, Mikhail; Peligrad, Magda 15 2011 Martingale-coboundary representation for a class of random fields. Zbl 1288.60066 Gordin, M. 15 2009 Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016 Götze, Friedrich; Gordin, Mikhail 7 2008 Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026 Götze, F.; Gordin, M. I.; Levina, A. 6 2007 A Poisson limit theorem for toral automorphisms. Zbl 1040.37006 Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya 17 2004 The central limit theorem for stationary Markov chains under invariant splittings. Zbl 1077.60023 Gordin, Mikhail; Holzmann, Hajo 6 2004 Limiting distributions of theta series on Siegel half-spaces. Zbl 1046.11025 Götze, F.; Gordin, M. 2 2004 A remark on the martingale approximation method for proving the central limit theorem for stationary random sequences. Zbl 1079.60507 Gordin, M. I. 1 2004 On the relative variational principle for fibre expanding maps. Zbl 1023.37017 Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M. 8 2002 On the almost sure central limit theorem for a class of \(Z^d\)-actions. Zbl 1023.60035 Gordin, Mikhail; Weber, Michel 2 2002 Gibbs measures for fibred systems. Zbl 0963.37005 Denker, Manfred; Gordin, Mikhail 16 1999 Double extensions of dynamical systems and the construction of mixing filtrations. II: Quasihyperbolic toral automorphisms. Zbl 1163.37300 Gordin, M. I. 1 1999 Remarks on Gibbs measures for fibred systems. Zbl 0963.37006 Denker, Manfred; Gordin, Mikhail 2 1998 The central limit theorem for random perturbations of rotations. Zbl 0935.60012 Denker, Manfred; Gordin, Mikhail 2 1998 Double extensions of dynamical systems and constructing mixing filtrations. Zbl 0973.37004 Gordin, M. I. 1 1997 A homoclinic version of the central limit theorem. Zbl 0836.60017 Gordin, M. I. 4 1994 Extensions of dynamical systems and the martingale approximation method. Zbl 0898.60011 Gordin, M. I. 1 1994 Homoclinic approach to the central limit theorem for dynamical systems. Zbl 0799.60021 Gordin, Mikhail 7 1993 The homoclinic version of the central limit theorem. Zbl 0742.60022 Gordin, M. I. 1 1990 The central limit theorem for stationary Markov processes. Zbl 0395.60057 Gordin, M. I.; Lifshits, B. A. 44 1978 On the behavior of the variances of sums of random variables forming a stationary process. Zbl 0255.60025 Gordin, M. I. 8 1971 Exponentially fast mixing. Zbl 0269.60028 Gordin, M. I. 3 1971 The law of the iterated logarithm for denominators of continued fractions. Zbl 0208.33201 Gordin, M. I.; Reznik, M. Kh. 5 1970 The central limit theorem for stationary processes. Zbl 0212.50005 Gordin, M. I. 178 1969 Stochastic processes generated by number-theoretic endomorphisms. Zbl 0174.49103 Gordin, M. I. 4 1968 all cited Publications top 5 cited Publications all top 5 Cited by 293 Authors 22 Peligrad, Magda 20 Merlevède, Florence 17 Dedecker, Jérôme 17 Volný, Dalibor 14 Gordin, Mikhail Iosifovich 12 Melbourne, Ian 8 Cuny, Christophe 8 Nicol, Matthew 7 Denker, Manfred 6 Haydn, Nicolai T. A. 6 Varandas, Paulo 6 Zhang, Xuan 5 Vaienti, Sandro 4 Bhattacharya, Rabi N. 4 Dolgopyat, Dmitry 4 Hannan, Edward James 4 Jirak, Moritz 4 Rodrigues, Fagner B. 4 Todd, Mike 4 Utev, Sergey 4 Woodroofe, Michael Barrett 4 Wu, Wei Biao 3 Bradley, Richard C. jun. 3 Durieu, Olivier 3 El Machkouri, Mohamed 3 Freitas, Ana Cristina Moreira 3 Freitas, Jorge Milhazes 3 Grama, Ion G. 3 Keller, Gerhard 3 Komorowski, Tomasz 3 Le Page, Emile 3 Lin, Michael 3 Pène, Françoise 3 Rio, Emmanuel 3 Senti, Samuel 3 Török, Andrei 3 Urbański, Mariusz 3 Zhang, Na 2 Aimino, Romain 2 Akemann, Gernot 2 Bae, Jongsig 2 Bálint, Péter 2 Banys, Povilas 2 Barrera, David 2 Berkes, István 2 Björklund, Michael 2 Carney, Meagan 2 Chazottes, Jean-René 2 Cikovic, Milan 2 Conze, Jean-Pierre 2 Czudek, Klaudiusz 2 Dehling, Herold G. 2 Demers, Mark F. 2 Feng, De-Jun 2 Giraudo, Davide 2 Götze, Friedrich 2 Gouëzel, Sébastien 2 Hervé, Loïc 2 Heyde, Christopher Charles 2 Holzmann, Hajo 2 Hörmann, Siegfried 2 Kifer, Yuri 2 Lauvergnat, Ronan 2 Leppänen, Juho 2 Levental, Shlomo 2 Lin, Zhengyan 2 Liu, Dangzheng 2 Majumdar, Mukul K. 2 Paulauskas, Vygantas Ionovič 2 Peligrad, Costel 2 Pesin, Yakov Borisovich 2 Pollicott, Mark 2 Ryzhikov, Valeriĭ Valentinovich 2 Stadlbauer, Manuel 2 Stenlund, Mikko 2 Szewczak, Zbigniew Stanisław 2 Tóth, Bálint 2 Verbitskiy, Evgeny A. 2 Wefelmeyer, Wolfgang 2 Yang, Fan 2 Zhang, Hongkun 2 Zhou, Dasheng 1 Aaronson, Jon 1 Adams, Terry 1 Alves, José Ferreira 1 Anatolyev, Stanislav 1 Antoniou, Marios 1 Araújo, Vítor 1 Arlotto, Alessandro 1 Backes, Lucas H. 1 Barański, Krzysztof 1 Bayart, Frédéric 1 Bayraktar, Turgay 1 Bazarova, Alina 1 Benoist, Yves 1 Bergelson, Vitaly 1 Berger, Erich 1 Berghout, Steven 1 Bisi, Cinzia 1 Biskup, Marek ...and 193 more Authors all top 5 Cited in 80 Serials 32 Stochastic Processes and their Applications 16 Journal of Theoretical Probability 14 The Annals of Probability 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Stochastics and Dynamics 11 Communications in Mathematical Physics 11 Journal of Statistical Physics 11 Journal of Mathematical Sciences (New York) 9 Transactions of the American Mathematical Society 8 Israel Journal of Mathematics 8 Probability Theory and Related Fields 8 Bernoulli 6 Nonlinearity 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 5 Ergodic Theory and Dynamical Systems 5 Statistics & Probability Letters 5 Discrete and Continuous Dynamical Systems 4 Lithuanian Mathematical Journal 4 Advances in Mathematics 4 The Annals of Statistics 4 Journal of Multivariate Analysis 4 The Annals of Applied Probability 3 Journal of Mathematical Analysis and Applications 3 Mathematische Zeitschrift 3 Transactions of the Moscow Mathematical Society 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Journal of Modern Dynamics 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Indiana University Mathematics Journal 2 Journal of Econometrics 2 Topology and its Applications 2 Electronic Communications in Probability 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Science China. Mathematics 2 Random Matrices: Theory and Applications 1 Advances in Applied Probability 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Aplikace Matematiky 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Applied Probability 1 Journal of Economic Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematics of Operations Research 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Results in Mathematics 1 Stochastic Analysis and Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Statistics 1 Journal of the American Mathematical Society 1 Economics Letters 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Communications in Statistics. Theory and Methods 1 Bulletin of the American Mathematical Society. New Series 1 Indagationes Mathematicae. New Series 1 Vestnik St. Petersburg University. Mathematics 1 Topological Methods in Nonlinear Analysis 1 Mathematical Methods of Statistics 1 Combinatorics, Probability and Computing 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Conformal Geometry and Dynamics 1 Acta Mathematica Sinica. English Series 1 Econometric Theory 1 Dynamical Systems 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Journal of Statistics 1 Probability Surveys 1 Journal of Probability and Statistics 1 Sankhyā. Series A 1 Sankhyā. Series B 1 Journal of Dynamics and Games all top 5 Cited in 31 Fields 215 Probability theory and stochastic processes (60-XX) 115 Dynamical systems and ergodic theory (37-XX) 36 Measure and integration (28-XX) 35 Statistics (62-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Number theory (11-XX) 10 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Fluid mechanics (76-XX) 3 Numerical analysis (65-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year