## Gordin, Mikhail Iosifovich

Compute Distance To:
 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 1,195 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)

### Citations contained in zbMATH Open

29 Publications have been cited 333 times in 263 Documents Cited by Year
The central limit theorem for stationary processes. Zbl 0212.50005
Gordin, M. I.
1969
The central limit theorem for stationary Markov processes. Zbl 0395.60057
Gordin, M. I.; Lifshits, B. A.
1978
A Poisson limit theorem for toral automorphisms. Zbl 1040.37006
Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya
2004
Gibbs measures for fibred systems. Zbl 0963.37005
Denker, Manfred; Gordin, Mikhail
1999
On the functional central limit theorem via martingale approximation. Zbl 1284.60070
2011
Martingale-coboundary representation for a class of random fields. Zbl 1288.60066
Gordin, M.
2009
On the behavior of the variances of sums of random variables forming a stationary process. Zbl 0255.60025
Gordin, M. I.
1971
Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016
Götze, Friedrich; Gordin, Mikhail
2008
On the relative variational principle for fibre expanding maps. Zbl 1023.37017
Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M.
2002
Homoclinic approach to the central limit theorem for dynamical systems. Zbl 0799.60021
Gordin, Mikhail
1993
The central limit theorem for stationary Markov chains under invariant splittings. Zbl 1077.60023
Gordin, Mikhail; Holzmann, Hajo
2004
Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007
Denker, Manfred; Gordin, Mikhail
2014
Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026
Götze, F.; Gordin, M. I.; Levina, A.
2007
The law of the iterated logarithm for denominators of continued fractions. Zbl 0208.33201
Gordin, M. I.; Reznik, M. Kh.
1970
A homoclinic version of the central limit theorem. Zbl 0836.60017
Gordin, M. I.
1994
Stochastic processes generated by number-theoretic endomorphisms. Zbl 0174.49103
Gordin, M. I.
1968
Exponentially fast mixing. Zbl 0269.60028
Gordin, M. I.
1971
Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009
Gordin, M.; Denker, M.
2014
Remarks on Gibbs measures for fibred systems. Zbl 0963.37006
Denker, Manfred; Gordin, Mikhail
1998
On the almost sure central limit theorem for a class of $$Z^d$$-actions. Zbl 1023.60035
Gordin, Mikhail; Weber, Michel
2002
The central limit theorem for random perturbations of rotations. Zbl 0935.60012
Denker, Manfred; Gordin, Mikhail
1998
Limiting distributions of theta series on Siegel half-spaces. Zbl 1046.11025
Götze, F.; Gordin, M.
2004
CLT for stationary normal Markov chains via generalized coboundaries. Zbl 1274.60066
Gordin, Mikhail
2013
Double extensions of dynamical systems and constructing mixing filtrations. Zbl 0973.37004
Gordin, M. I.
1997
Double extensions of dynamical systems and the construction of mixing filtrations. II: Quasihyperbolic toral automorphisms. Zbl 1163.37300
Gordin, M. I.
1999
Extensions of dynamical systems and the martingale approximation method. Zbl 0898.60011
Gordin, M. I.
1994
A remark on the martingale approximation method for proving the central limit theorem for stationary random sequences. Zbl 1079.60507
Gordin, M. I.
2004
The homoclinic version of the central limit theorem. Zbl 0742.60022
Gordin, M. I.
1990
Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates. Zbl 1356.81231
Dakovic, R.; Denker, M.; Gordin, M.
2016
Circular unitary ensembles: parametric models and their asymptotic maximum likelihood estimates. Zbl 1356.81231
Dakovic, R.; Denker, M.; Gordin, M.
2016
Limit theorems for von Mises statistics of a measure preserving transformation. Zbl 1306.60007
Denker, Manfred; Gordin, Mikhail
2014
Poisson limit for two-dimensional toral automorphism driven by continued fractions. Zbl 1335.37009
Gordin, M.; Denker, M.
2014
CLT for stationary normal Markov chains via generalized coboundaries. Zbl 1274.60066
Gordin, Mikhail
2013
On the functional central limit theorem via martingale approximation. Zbl 1284.60070
2011
Martingale-coboundary representation for a class of random fields. Zbl 1288.60066
Gordin, M.
2009
Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016
Götze, Friedrich; Gordin, Mikhail
2008
Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026
Götze, F.; Gordin, M. I.; Levina, A.
2007
A Poisson limit theorem for toral automorphisms. Zbl 1040.37006
Denker, Manfred; Gordin, Mikhail; Sharova, Anastasya
2004
The central limit theorem for stationary Markov chains under invariant splittings. Zbl 1077.60023
Gordin, Mikhail; Holzmann, Hajo
2004
Limiting distributions of theta series on Siegel half-spaces. Zbl 1046.11025
Götze, F.; Gordin, M.
2004
A remark on the martingale approximation method for proving the central limit theorem for stationary random sequences. Zbl 1079.60507
Gordin, M. I.
2004
On the relative variational principle for fibre expanding maps. Zbl 1023.37017
Denker, Manfred; Gordin, Mikhail; Heinemann, Stefan-M.
2002
On the almost sure central limit theorem for a class of $$Z^d$$-actions. Zbl 1023.60035
Gordin, Mikhail; Weber, Michel
2002
Gibbs measures for fibred systems. Zbl 0963.37005
Denker, Manfred; Gordin, Mikhail
1999
Double extensions of dynamical systems and the construction of mixing filtrations. II: Quasihyperbolic toral automorphisms. Zbl 1163.37300
Gordin, M. I.
1999
Remarks on Gibbs measures for fibred systems. Zbl 0963.37006
Denker, Manfred; Gordin, Mikhail
1998
The central limit theorem for random perturbations of rotations. Zbl 0935.60012
Denker, Manfred; Gordin, Mikhail
1998
Double extensions of dynamical systems and constructing mixing filtrations. Zbl 0973.37004
Gordin, M. I.
1997
A homoclinic version of the central limit theorem. Zbl 0836.60017
Gordin, M. I.
1994
Extensions of dynamical systems and the martingale approximation method. Zbl 0898.60011
Gordin, M. I.
1994
Homoclinic approach to the central limit theorem for dynamical systems. Zbl 0799.60021
Gordin, Mikhail
1993
The homoclinic version of the central limit theorem. Zbl 0742.60022
Gordin, M. I.
1990
The central limit theorem for stationary Markov processes. Zbl 0395.60057
Gordin, M. I.; Lifshits, B. A.
1978
On the behavior of the variances of sums of random variables forming a stationary process. Zbl 0255.60025
Gordin, M. I.
1971
Exponentially fast mixing. Zbl 0269.60028
Gordin, M. I.
1971
The law of the iterated logarithm for denominators of continued fractions. Zbl 0208.33201
Gordin, M. I.; Reznik, M. Kh.
1970
The central limit theorem for stationary processes. Zbl 0212.50005
Gordin, M. I.
1969
Stochastic processes generated by number-theoretic endomorphisms. Zbl 0174.49103
Gordin, M. I.
1968
all top 5

### Cited by 270 Authors

 20 Peligrad, Magda 17 Merlevède, Florence 17 Volný, Dalibor 16 Dedecker, Jérôme 13 Gordin, Mikhail Iosifovich 12 Melbourne, Ian 8 Cuny, Christophe 8 Nicol, Matthew 6 Denker, Manfred 6 Haydn, Nicolai T. A. 5 Vaienti, Sandro 4 Bhattacharya, Rabi N. 4 Dolgopyat, Dmitry 4 Hannan, Edward James 4 Todd, Mike 4 Utev, Sergey 4 Varandas, Paulo 4 Woodroofe, Michael Barrett 4 Wu, Wei Biao 4 Zhang, Xuan 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 Jirak, Moritz 3 Keller, Gerhard 3 Komorowski, Tomasz 3 Le Page, Emile 3 Rio, Emmanuel 3 Rodrigues, Fagner B. 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 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, Michael 2 Lin, Zhengyan 2 Liu, Dangzheng 2 Majumdar, Mukul K. 2 Paulauskas, Vygantas Ionovič 2 Peligrad, Costel 2 Pène, Françoise 2 Pesin, Yakov Borisovich 2 Pollicott, Mark 2 Ryzhikov, Valeriĭ Valentinovich 2 Senti, Samuel 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 Alves, José Ferreira 1 Anatolyev, Stanislav 1 Antoniou, Marios 1 Araújo, Vítor 1 Arlotto, Alessandro 1 Backes, Lucas H. 1 Bayart, Frédéric 1 Bayraktar, Turgay 1 Bazarova, Alina 1 Benoist, Yves 1 Berger, Erich 1 Berghout, Steven 1 Biskup, Marek 1 Bolthausen, Erwin 1 Broise-Alamichel, Anne 1 Bufetov, Aleksandr Igorevich 1 Ceccherini-Silberstein, Tullio G. 1 Chu, Ba M. 1 Conze, Jean-Pierre 1 Coornaert, Michel ...and 170 more Authors
all top 5

### Cited in 78 Serials

 30 Stochastic Processes and their Applications 15 Journal of Theoretical Probability 14 The Annals of Probability 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 12 Stochastics and Dynamics 11 Communications in Mathematical Physics 11 Journal of Mathematical Sciences (New York) 10 Journal of Statistical Physics 9 Transactions of the American Mathematical Society 8 Probability Theory and Related Fields 7 Israel Journal of Mathematics 6 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 6 Bernoulli 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 Nonlinearity 3 Transactions of the Moscow Mathematical Society 3 Ergodic Theory and Dynamical Systems 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 Econometrics 2 Mathematische Zeitschrift 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 Journal of Mathematical Physics 1 Periodica Mathematica Hungarica 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Aplikace Matematiky 1 Indiana University Mathematics Journal 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 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 29 Fields

 202 Probability theory and stochastic processes (60-XX) 102 Dynamical systems and ergodic theory (37-XX) 33 Statistics (62-XX) 32 Measure and integration (28-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Number theory (11-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Operator theory (47-XX) 4 Topological groups, Lie groups (22-XX) 4 Fluid mechanics (76-XX) 3 Functions of a complex variable (30-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 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)