Edit Profile (opens in new tab) Volný, Dalibor Compute Distance To: Compute Author ID: volny.dalibor Published as: Volný, Dalibor; Volný, D.; Volny, Dalibor more...less Documents Indexed: 68 Publications since 1984 Reviewing Activity: 12 Reviews Co-Authors: 31 Co-Authors with 42 Joint Publications 591 Co-Co-Authors all top 5 Co-Authors 26 single-authored 5 Klicnarová, Jana 5 Woodroofe, Michael Barrett 4 Durieu, Olivier 4 El Machkouri, Mohamed 3 Lemańczyk, Mariusz 3 Lesigne, Emmanuel 3 Wang, Yizao 2 Cuny, Christophe 2 Dedecker, Jérôme 2 Giraudo, Davide 2 Merlevède, Florence 2 Parreau, François 2 Samek, Pavel 2 Zhao, Ou 1 Aaronson, Jon 1 Dehling, Herold G. 1 Greschonig, Gernot 1 Jakubowski, Adam 1 Kosloff, Zemer 1 Liardet, Pierre 1 Lin, Han-Mai 1 Louhichi, Sana 1 Miura, Ryozo 1 Nerurkar, Mahesh G. 1 Ouchti, Lahcen 1 Peligrad, Magda 1 Queffélec, Hervé 1 Weiss, Benjamin 1 Wierdl, Máté 1 Wu, Wei Biao 1 Yokoyama, Ryozo all top 5 Serials 12 Stochastic Processes and their Applications 6 Commentationes Mathematicae Universitatis Carolinae 5 Journal of Theoretical Probability 5 Stochastics and Dynamics 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Yokohama Mathematical Journal 3 Electronic Communications in Probability 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Israel Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Studia Mathematica 1 Aplikace Matematiky 1 Colloquium Mathematicum 1 Fundamenta Mathematicae 1 Journal of Applied Probability 1 Statistics & Probability Letters 1 Statistics & Decisions 1 Statistics 1 Topological Methods in Nonlinear Analysis 1 Journal of Mathematical Sciences (New York) 1 Statistica Sinica 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II all top 5 Fields 61 Probability theory and stochastic processes (60-XX) 25 Measure and integration (28-XX) 10 Dynamical systems and ergodic theory (37-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 381 times in 220 Documents Cited by ▼ Year ▼ Large deviations for martingales. Zbl 1059.60033Lesigne, Emmanuel; Volný, Dalibor 45 2001 Approximating martingales and the central limit theorem for strictly stationary processes. Zbl 0765.60025Volný, Dalibor 35 1993 A central limit theorem for stationary random fields. Zbl 1308.60025El Machkouri, Mohamed; Volný, Dalibor; Wu, Wei Biao 33 2013 On the weak invariance principle for non-adapted sequences under projective criteria. Zbl 1137.60016Dedecker, Jérôme; Merlevède, Florence; Volný, Dalibor 25 2007 An invariance principle for stationary random fields under Hannan’s condition. Zbl 1312.60031Volný, Dalibor; Wang, Yizao 22 2014 A central limit theorem for fields of martingale differences. (Théorème limite centrale pour des champs de différences de martingale.) Zbl 1333.60036Volný, Dalibor 15 2015 New techniques for empirical processes of dependent data. Zbl 1176.60023Dehling, Herold; Durieu, Olivier; Volny, Dalibor 15 2009 Sums of continuous and differentiable functions in dynamical systems. Zbl 0881.28012Liardet, Pierre; Volný, Dalibor 13 1997 A quenched invariance principle for stationary processes. Zbl 1277.60056Cuny, Christophe; Volný, Dalibor 13 2013 Invariance principles and Gaussian approximation for strictly stationary processes. Zbl 0939.37006Volný, Dalibor 12 1999 Comparison between criteria leading to the weak invariance principle. Zbl 1182.60010Durieu, Olivier; Volný, Dalibor 10 2008 On the invariance principle and the law of iterated logarithm for stationary processes. Zbl 0974.60013Volný, Dalibor; Samek, Pavel 10 2000 Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces. Zbl 0876.28021Lemańczyk, M.; Parreau, F.; Volný, D. 9 1996 An example of non-quenched convergence in the conditional central limit theorem for partial sums of a linear process. Zbl 1213.60051Volný, Dalibor; Woodroofe, Michael 9 2010 A nonadapted version of the invariance principle of Peligrad and Utev. Zbl 1120.60030Volný, Dalibor 7 2007 A central limit theorem for reversible processes with nonlinear growth of variance. Zbl 1208.60025Zhao, Ou; Woodroofe, Michael; Volný, Dalibor 6 2010 Martingale-coboundary representation for stationary random fields. Zbl 1378.60077Volný, Dalibor 6 2018 Martingale approximation of nonadapted stochastic processes with nonlinear growth of variance. Zbl 1111.60016Volný, Dalibor 5 2006 A functional CLT for fields of commuting transformations via martingale approximation. Zbl 1376.60055Cuny, Christophe; Dedecker, Jerome; Volný, Dalibor 5 2016 On limit theorems and category for dynamical systems. Zbl 0735.60025Volný, Dalibor 5 1990 Martingale decompositions of stationary processes. Zbl 0636.60034Volný, Dalibor 5 1987 On the invariance principle and functional law of iterated logarithm for nonergodic processes. Zbl 0638.60048Volný, Dalibor 5 1987 Martingale approximation and optimality of some conditions for the central limit theorem. Zbl 1205.60075Volný, Dalibor 5 2010 Quenched central limit theorems for sums of stationary processes. Zbl 1290.60027Volný, Dalibor; Woodroofe, Michael 4 2014 Limit theorems for weighted Bernoulli random fields under Hannan’s condition. Zbl 1336.60069Klicnarová, Jana; Volný, Dalibor; Wang, Yizao 4 2016 Coboundaries in \(L_{0}^{\infty}\). Zbl 1055.60018Volný, Dalibor; Weiss, Benjamin 4 2004 Uniqueness of a martingale-coboundary decomposition of stationary processes. Zbl 0753.60032Samek, Pavel; Volný, Dalibor 4 1992 A strictly stationary \(\beta\)-mixing process satisfying the central limit theorem but not the weak invariance principle. Zbl 1323.60041Giraudo, Davide; Volný, Dalibor 4 2014 Large deviations for generic stationary processes. Zbl 0973.28014Lesigne, Emmanuel; Volný, Dalibor 4 2000 On the exactness of the Wu-Woodroofe approximation. Zbl 1177.60032Klicnarová, Jana; Volný, Dalibor 4 2009 On sums of indicator functions in dynamical systems. Zbl 1221.37012Durieu, Olivier; Volný, Dalibor 3 2010 Central limit theorems for superlinear processes. Zbl 1210.60028Volný, Dalibor; Woodroofe, Michael; Zhao, Ou 3 2011 On limit theorems for fields of martingale differences. Zbl 1478.60158Volný, Dalibor 3 2019 A cut salad of cocyles. Zbl 0966.28010Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor 3 1998 On non-ergodic versions of limit theorems. Zbl 0707.60027Volný, Dalibor 3 1989 On the asymptotic normality of the R-estimators of the slope parameters of simple linear regression models with associated errors. Zbl 1369.62110Louhichi, Sana; Miura, Ryozo; Volný, Dalibor 2 2017 A nonergodic version of Gordin’s CLT for integrable stationary processes. Zbl 0629.60030Volný, Dalibor 2 1987 Constructions of smooth and analytic cocycles over irrational circle rotations. Zbl 0866.28014Volný, Dalibor 2 1995 A conditional CLT which fails for ergodic components. Zbl 1147.60016Ouchti, L.; Volný, D. 2 2008 Completely squashable smooth ergodic cocycles over irrational rotations. Zbl 1057.37003Volný, Dalibor 2 2003 The central limit problem for strictly stationary sequences. Zbl 0584.60037Volný, D. 1 1985 The central limit problem for composed arrays of martingale differences. Zbl 0756.60025Volný, Dalibor 1 1992 Counter examples to the central limit problem for stationary dependent random variables. Zbl 0663.60022Volný, Dalibor 1 1988 Determinism and martingale decompositions of strictly stationary random processes. Zbl 0617.60033Volný, Dalibor 1 1985 A negative answer to the central limit problem for strictly stationary sequences. Zbl 0568.60023Volný, D. 1 1984 Martingale approximation of nonstationary stochastic processes. Zbl 1103.60038Volný, Dalibor 1 2006 On martingale approximation of adapted processes. Zbl 1246.60054Queffélec, Hervé; Volný, Dalibor 1 2012 On the central and local limit theorem for martingale difference sequences. Zbl 1080.60015El Machkouri, Mohamed; Volný, Dalibor 1 2004 Random ergodic theorems and real cocycles. Zbl 1023.37001Lemańczyk, Mariusz; Lesigne, Emmanuel; Parreau, François; Volný, Dalibor; Wierdl, Maté 1 2002 On the ergodicity of Weyl sum cocycles. Zbl 1127.37005Greschonig, Gernot; Nerurkar, Mahesh; Volný, Dalibor 1 2007 Local limit theorem in deterministic systems. Zbl 1500.37008Kosloff, Zemer; Volny, Dalibor 1 2022 Quenched invariance principles for orthomartingale-like sequences. Zbl 1464.60020Peligrad, Magda; Volný, Dalibor 1 2020 A counter example to central limit theorem in Hilbert spaces under a strong mixing condition. Zbl 1334.60020Giraudo, Davide; Volný, Dalibor 1 2014 Local limit theorem in deterministic systems. Zbl 1500.37008Kosloff, Zemer; Volny, Dalibor 1 2022 Quenched invariance principles for orthomartingale-like sequences. Zbl 1464.60020Peligrad, Magda; Volný, Dalibor 1 2020 On limit theorems for fields of martingale differences. Zbl 1478.60158Volný, Dalibor 3 2019 Martingale-coboundary representation for stationary random fields. Zbl 1378.60077Volný, Dalibor 6 2018 On the asymptotic normality of the R-estimators of the slope parameters of simple linear regression models with associated errors. Zbl 1369.62110Louhichi, Sana; Miura, Ryozo; Volný, Dalibor 2 2017 A functional CLT for fields of commuting transformations via martingale approximation. Zbl 1376.60055Cuny, Christophe; Dedecker, Jerome; Volný, Dalibor 5 2016 Limit theorems for weighted Bernoulli random fields under Hannan’s condition. Zbl 1336.60069Klicnarová, Jana; Volný, Dalibor; Wang, Yizao 4 2016 A central limit theorem for fields of martingale differences. (Théorème limite centrale pour des champs de différences de martingale.) Zbl 1333.60036Volný, Dalibor 15 2015 An invariance principle for stationary random fields under Hannan’s condition. Zbl 1312.60031Volný, Dalibor; Wang, Yizao 22 2014 Quenched central limit theorems for sums of stationary processes. Zbl 1290.60027Volný, Dalibor; Woodroofe, Michael 4 2014 A strictly stationary \(\beta\)-mixing process satisfying the central limit theorem but not the weak invariance principle. Zbl 1323.60041Giraudo, Davide; Volný, Dalibor 4 2014 A counter example to central limit theorem in Hilbert spaces under a strong mixing condition. Zbl 1334.60020Giraudo, Davide; Volný, Dalibor 1 2014 A central limit theorem for stationary random fields. Zbl 1308.60025El Machkouri, Mohamed; Volný, Dalibor; Wu, Wei Biao 33 2013 A quenched invariance principle for stationary processes. Zbl 1277.60056Cuny, Christophe; Volný, Dalibor 13 2013 On martingale approximation of adapted processes. Zbl 1246.60054Queffélec, Hervé; Volný, Dalibor 1 2012 Central limit theorems for superlinear processes. Zbl 1210.60028Volný, Dalibor; Woodroofe, Michael; Zhao, Ou 3 2011 An example of non-quenched convergence in the conditional central limit theorem for partial sums of a linear process. Zbl 1213.60051Volný, Dalibor; Woodroofe, Michael 9 2010 A central limit theorem for reversible processes with nonlinear growth of variance. Zbl 1208.60025Zhao, Ou; Woodroofe, Michael; Volný, Dalibor 6 2010 Martingale approximation and optimality of some conditions for the central limit theorem. Zbl 1205.60075Volný, Dalibor 5 2010 On sums of indicator functions in dynamical systems. Zbl 1221.37012Durieu, Olivier; Volný, Dalibor 3 2010 New techniques for empirical processes of dependent data. Zbl 1176.60023Dehling, Herold; Durieu, Olivier; Volny, Dalibor 15 2009 On the exactness of the Wu-Woodroofe approximation. Zbl 1177.60032Klicnarová, Jana; Volný, Dalibor 4 2009 Comparison between criteria leading to the weak invariance principle. Zbl 1182.60010Durieu, Olivier; Volný, Dalibor 10 2008 A conditional CLT which fails for ergodic components. Zbl 1147.60016Ouchti, L.; Volný, D. 2 2008 On the weak invariance principle for non-adapted sequences under projective criteria. Zbl 1137.60016Dedecker, Jérôme; Merlevède, Florence; Volný, Dalibor 25 2007 A nonadapted version of the invariance principle of Peligrad and Utev. Zbl 1120.60030Volný, Dalibor 7 2007 On the ergodicity of Weyl sum cocycles. Zbl 1127.37005Greschonig, Gernot; Nerurkar, Mahesh; Volný, Dalibor 1 2007 Martingale approximation of nonadapted stochastic processes with nonlinear growth of variance. Zbl 1111.60016Volný, Dalibor 5 2006 Martingale approximation of nonstationary stochastic processes. Zbl 1103.60038Volný, Dalibor 1 2006 Coboundaries in \(L_{0}^{\infty}\). Zbl 1055.60018Volný, Dalibor; Weiss, Benjamin 4 2004 On the central and local limit theorem for martingale difference sequences. Zbl 1080.60015El Machkouri, Mohamed; Volný, Dalibor 1 2004 Completely squashable smooth ergodic cocycles over irrational rotations. Zbl 1057.37003Volný, Dalibor 2 2003 Random ergodic theorems and real cocycles. Zbl 1023.37001Lemańczyk, Mariusz; Lesigne, Emmanuel; Parreau, François; Volný, Dalibor; Wierdl, Maté 1 2002 Large deviations for martingales. Zbl 1059.60033Lesigne, Emmanuel; Volný, Dalibor 45 2001 On the invariance principle and the law of iterated logarithm for stationary processes. Zbl 0974.60013Volný, Dalibor; Samek, Pavel 10 2000 Large deviations for generic stationary processes. Zbl 0973.28014Lesigne, Emmanuel; Volný, Dalibor 4 2000 Invariance principles and Gaussian approximation for strictly stationary processes. Zbl 0939.37006Volný, Dalibor 12 1999 A cut salad of cocyles. Zbl 0966.28010Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor 3 1998 Sums of continuous and differentiable functions in dynamical systems. Zbl 0881.28012Liardet, Pierre; Volný, Dalibor 13 1997 Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces. Zbl 0876.28021Lemańczyk, M.; Parreau, F.; Volný, D. 9 1996 Constructions of smooth and analytic cocycles over irrational circle rotations. Zbl 0866.28014Volný, Dalibor 2 1995 Approximating martingales and the central limit theorem for strictly stationary processes. Zbl 0765.60025Volný, Dalibor 35 1993 Uniqueness of a martingale-coboundary decomposition of stationary processes. Zbl 0753.60032Samek, Pavel; Volný, Dalibor 4 1992 The central limit problem for composed arrays of martingale differences. Zbl 0756.60025Volný, Dalibor 1 1992 On limit theorems and category for dynamical systems. Zbl 0735.60025Volný, Dalibor 5 1990 On non-ergodic versions of limit theorems. Zbl 0707.60027Volný, Dalibor 3 1989 Counter examples to the central limit problem for stationary dependent random variables. Zbl 0663.60022Volný, Dalibor 1 1988 Martingale decompositions of stationary processes. Zbl 0636.60034Volný, Dalibor 5 1987 On the invariance principle and functional law of iterated logarithm for nonergodic processes. Zbl 0638.60048Volný, Dalibor 5 1987 A nonergodic version of Gordin’s CLT for integrable stationary processes. Zbl 0629.60030Volný, Dalibor 2 1987 The central limit problem for strictly stationary sequences. Zbl 0584.60037Volný, D. 1 1985 Determinism and martingale decompositions of strictly stationary random processes. Zbl 0617.60033Volný, Dalibor 1 1985 A negative answer to the central limit problem for strictly stationary sequences. Zbl 0568.60023Volný, D. 1 1984 all cited Publications top 5 cited Publications all top 5 Cited by 215 Authors 32 Volný, Dalibor 20 Peligrad, Magda 15 Dedecker, Jérôme 14 Merlevède, Florence 11 Giraudo, Davide 8 Durieu, Olivier 7 Cuny, Christophe 7 Fan, Xiequan 7 Lemańczyk, Mariusz 7 Liu, Quansheng 6 Wang, Yizao 6 Wu, Wei Biao 5 Podvigin, Ivan Viktorovich 4 Conze, Jean-Pierre 4 El Machkouri, Mohamed 4 Melbourne, Ian 4 Mikosch, Thomas 4 Peligrad, Costel 4 Stoica, George 4 Woodroofe, Michael Barrett 4 Zhang, Na 3 Dede, Sophie 3 Grama, Ion G. 3 Hao, Shunli 3 Jirak, Moritz 3 Klicnarová, Jana 3 Lin, Han-Mai 3 Longla, Martial 3 Parreau, François 3 Reding, Lucas 3 Weiss, Benjamin 3 Yau, Chun Yip 3 Zhao, Ou 2 Aaronson, Jon 2 Barrera, David 2 Bayart, Frédéric 2 Buczolich, Zoltán 2 Chan, Ngai Hang 2 Dehling, Herold G. 2 Dette, Holger 2 Dolgopyat, Dmitry 2 Doukhan, Paul 2 Frączek, Krzysztof Marek 2 Gorodnik, Alexander 2 Guillotin-Plantard, Nadine 2 Kachurovskii, Aleksander G. 2 Lacoin, Hubert 2 Lesigne, Emmanuel 2 Lin, Jinguan 2 Minabutdinov, A. R. 2 Nerurkar, Mahesh G. 2 Ng, Wai Leong 2 Nicol, Matthew 2 Ouchti, Lahcen 2 Queffélec, Hervé 2 Rio, Emmanuel 2 Roy, Emmanuel 2 Rozhdestvenskij, A. V. 2 Tusche, Marco 2 Utev, Sergey 2 Watbled, Frédérique 2 Zhang, Rongmao 2 Zhao, Yuwei 2 Zhou, Xingcai 1 Alquier, Pierre 1 Alves, José Ferreira 1 Ammous, Sinda 1 Anh, Vo V. 1 Antoch, Jaromír 1 Avdeeva, Maria 1 Avila, Artur 1 Azarnoosh, H. A. 1 Bai, Jushan 1 Baldasso, Rangel 1 Bergelson, Vitaly 1 Berkes, István 1 Biermé, Hermine 1 Biskup, Marek 1 Bitseki Penda, S. Valère 1 Björklund, Michael 1 Boucher, Thomas R. 1 Bouzebda, Salim 1 Brémont, Julien 1 Bucchia, Béatrice 1 Bücher, Axel 1 Caron, Emmanuel 1 Cellarosi, Francesco 1 Černý, Michal 1 Chazottes, Jean-René 1 Chen, Changhao 1 Chen, Qisheng 1 Chen, Xinyuan 1 Chernov, A. I. 1 Chulaevsky, Victor 1 Cohen, Guy 1 Damek, Ewa 1 de la Rue, Thierry 1 de Lima, Amanda Ferreira 1 del Junco, Andres 1 Demers, Mark F. ...and 115 more Authors all top 5 Cited in 63 Serials 32 Stochastic Processes and their Applications 15 Journal of Theoretical Probability 14 Stochastics and Dynamics 11 Statistics & Probability Letters 11 Bernoulli 10 Journal of Mathematical Analysis and Applications 9 The Annals of Probability 9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 7 Ergodic Theory and Dynamical Systems 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Statistics 5 Transactions of the American Mathematical Society 5 Electronic Journal of Statistics 4 Journal of Applied Probability 4 Journal of Statistical Planning and Inference 4 Probability Theory and Related Fields 4 Journal of Mathematical Sciences (New York) 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Multivariate Analysis 3 Electronic Communications in Probability 2 Mathematical Notes 2 Nonlinearity 2 Theory of Probability and its Applications 2 Advances in Mathematics 2 Journal of Econometrics 2 The Annals of Applied Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Econometric Theory 2 Stochastics 1 Advances in Applied Probability 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Statistics 1 Aplikace Matematiky 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Transactions of the Moscow Mathematical Society 1 Optimization 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mathematical Methods of Statistics 1 Statistical Papers 1 Statistica Sinica 1 European Mathematical Society Newsletter 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Matematicheskie Trudy 1 Brazilian Journal of Probability and Statistics 1 Proceedings of the Steklov Institute of Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Probability Surveys 1 Modern Stochastics. Theory and Applications 1 Graduate Journal of Mathematics all top 5 Cited in 23 Fields 176 Probability theory and stochastic processes (60-XX) 56 Dynamical systems and ergodic theory (37-XX) 41 Statistics (62-XX) 27 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Number theory (11-XX) 5 Operator theory (47-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Combinatorics (05-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year