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## Volný, Dalibor

Compute Distance To:
 Author ID: volny.dalibor Published as: Volný, Dalibor; Volný, D.; Volny, Dalibor
 Documents Indexed: 66 Publications since 1984 Reviewing Activity: 12 Reviews
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#### 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 Parreau, François 2 Samek, Pavel 2 Zhao, Ou 1 Aaronson, Jon 1 Dehling, Herold G. 1 Greschonig, Gernot 1 Jakubowski, Adam 1 Liardet, Pierre 1 Louhichi, Sana 1 Merlevède, Florence 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
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#### Serials

 12 Stochastic Processes and their Applications 6 Commentationes Mathematicae Universitatis Carolinae 5 Journal of Theoretical Probability 5 Stochastics and Dynamics 3 Yokohama Mathematical Journal 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 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 Electronic Communications in Probability 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
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#### Fields

 59 Probability theory and stochastic processes (60-XX) 24 Measure and integration (28-XX) 9 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)

#### Citations contained in zbMATH Open

50 Publications have been cited 324 times in 192 Documents Cited by Year
Large deviations for martingales. Zbl 1059.60033
Lesigne, Emmanuel; Volný, Dalibor
2001
Approximating martingales and the central limit theorem for strictly stationary processes. Zbl 0765.60025
Volný, Dalibor
1993
A central limit theorem for stationary random fields. Zbl 1308.60025
El Machkouri, Mohamed; Volný, Dalibor; Wu, Wei Biao
2013
On the weak invariance principle for non-adapted sequences under projective criteria. Zbl 1137.60016
Dedecker, Jérôme; Merlevède, Florence; Volný, Dalibor
2007
An invariance principle for stationary random fields under Hannan’s condition. Zbl 1312.60031
Volný, Dalibor; Wang, Yizao
2014
A quenched invariance principle for stationary processes. Zbl 1277.60056
Cuny, Christophe; Volný, Dalibor
2013
New techniques for empirical processes of dependent data. Zbl 1176.60023
Dehling, Herold; Durieu, Olivier; Volny, Dalibor
2009
A central limit theorem for fields of martingale differences. (Théorème limite centrale pour des champs de différences de martingale.) Zbl 1333.60036
Volný, Dalibor
2015
Sums of continuous and differentiable functions in dynamical systems. Zbl 0881.28012
Liardet, Pierre; Volný, Dalibor
1997
Comparison between criteria leading to the weak invariance principle. Zbl 1182.60010
Durieu, Olivier; Volný, Dalibor
2008
On the invariance principle and the law of iterated logarithm for stationary processes. Zbl 0974.60013
Volný, Dalibor; Samek, Pavel
2000
Invariance principles and Gaussian approximation for strictly stationary processes. Zbl 0939.37006
Volný, Dalibor
1999
An example of non-quenched convergence in the conditional central limit theorem for partial sums of a linear process. Zbl 1213.60051
Volný, Dalibor; Woodroofe, Michael
2010
Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces. Zbl 0876.28021
Lemańczyk, M.; Parreau, F.; Volný, D.
1996
A nonadapted version of the invariance principle of Peligrad and Utev. Zbl 1120.60030
Volný, Dalibor
2007
Martingale decompositions of stationary processes. Zbl 0636.60034
Volný, Dalibor
1987
Martingale approximation of nonadapted stochastic processes with nonlinear growth of variance. Zbl 1111.60016
Volný, Dalibor
2006
A central limit theorem for reversible processes with nonlinear growth of variance. Zbl 1208.60025
Zhao, Ou; Woodroofe, Michael; Volný, Dalibor
2010
On the invariance principle and functional law of iterated logarithm for nonergodic processes. Zbl 0638.60048
Volný, Dalibor
1987
Martingale approximation and optimality of some conditions for the central limit theorem. Zbl 1205.60075
Volný, Dalibor
2010
Large deviations for generic stationary processes. Zbl 0973.28014
Lesigne, Emmanuel; Volný, Dalibor
2000
Quenched central limit theorems for sums of stationary processes. Zbl 1290.60027
Volný, Dalibor; Woodroofe, Michael
2014
A strictly stationary $$\beta$$-mixing process satisfying the central limit theorem but not the weak invariance principle. Zbl 1323.60041
Giraudo, Davide; Volný, Dalibor
2014
On the exactness of the Wu-Woodroofe approximation. Zbl 1177.60032
Klicnarová, Jana; Volný, Dalibor
2009
On non-ergodic versions of limit theorems. Zbl 0707.60027
Volný, Dalibor
1989
A cut salad of cocyles. Zbl 0966.28010
Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor
1998
On limit theorems and category for dynamical systems. Zbl 0735.60025
Volný, Dalibor
1990
Central limit theorems for superlinear processes. Zbl 1210.60028
Volný, Dalibor; Woodroofe, Michael; Zhao, Ou
2011
Martingale-coboundary representation for stationary random fields. Zbl 1378.60077
Volný, Dalibor
2018
Limit theorems for weighted Bernoulli random fields under Hannan’s condition. Zbl 1336.60069
Klicnarová, Jana; Volný, Dalibor; Wang, Yizao
2016
A nonergodic version of Gordin’s CLT for integrable stationary processes. Zbl 0629.60030
Volný, Dalibor
1987
Uniqueness of a martingale-coboundary decomposition of stationary processes. Zbl 0753.60032
Samek, Pavel; Volný, Dalibor
1992
A conditional CLT which fails for ergodic components. Zbl 1147.60016
Ouchti, L.; Volný, D.
2008
On sums of indicator functions in dynamical systems. Zbl 1221.37012
Durieu, Olivier; Volný, Dalibor
2010
Completely squashable smooth ergodic cocycles over irrational rotations. Zbl 1057.37003
Volný, Dalibor
2003
Coboundaries in $$L_{0}^{\infty}$$. Zbl 1055.60018
Volný, Dalibor; Weiss, Benjamin
2004
A functional CLT for fields of commuting transformations via martingale approximation. Zbl 1376.60055
Cuny, Christophe; Dedecker, Jerome; Volný, Dalibor
2016
A negative answer to the central limit problem for strictly stationary sequences. Zbl 0568.60023
Volný, D.
1984
The central limit problem for strictly stationary sequences. Zbl 0584.60037
Volný, D.
1985
On martingale approximation of adapted processes. Zbl 1246.60054
Queffélec, Hervé; Volný, Dalibor
2012
Determinism and martingale decompositions of strictly stationary random processes. Zbl 0617.60033
Volný, Dalibor
1985
The central limit problem for composed arrays of martingale differences. Zbl 0756.60025
Volný, Dalibor
1992
Random ergodic theorems and real cocycles. Zbl 1023.37001
Lemańczyk, Mariusz; Lesigne, Emmanuel; Parreau, François; Volný, Dalibor; Wierdl, Maté
2002
Counter examples to the central limit problem for stationary dependent random variables. Zbl 0663.60022
Volný, Dalibor
1988
On the ergodicity of Weyl sum cocycles. Zbl 1127.37005
Greschonig, Gernot; Nerurkar, Mahesh; Volný, Dalibor
2007
Constructions of smooth and analytic cocycles over irrational circle rotations. Zbl 0866.28014
Volný, Dalibor
1995
On the central and local limit theorem for martingale difference sequences. Zbl 1080.60015
El Machkouri, Mohamed; Volný, Dalibor
2004
A counter example to central limit theorem in Hilbert spaces under a strong mixing condition. Zbl 1334.60020
Giraudo, Davide; Volný, Dalibor
2014
Martingale approximation of nonstationary stochastic processes. Zbl 1103.60038
Volný, Dalibor
2006
On the asymptotic normality of the R-estimators of the slope parameters of simple linear regression models with associated errors. Zbl 1369.62110
Louhichi, Sana; Miura, Ryozo; Volný, Dalibor
2017
Martingale-coboundary representation for stationary random fields. Zbl 1378.60077
Volný, Dalibor
2018
On the asymptotic normality of the R-estimators of the slope parameters of simple linear regression models with associated errors. Zbl 1369.62110
Louhichi, Sana; Miura, Ryozo; Volný, Dalibor
2017
Limit theorems for weighted Bernoulli random fields under Hannan’s condition. Zbl 1336.60069
Klicnarová, Jana; Volný, Dalibor; Wang, Yizao
2016
A functional CLT for fields of commuting transformations via martingale approximation. Zbl 1376.60055
Cuny, Christophe; Dedecker, Jerome; Volný, Dalibor
2016
A central limit theorem for fields of martingale differences. (Théorème limite centrale pour des champs de différences de martingale.) Zbl 1333.60036
Volný, Dalibor
2015
An invariance principle for stationary random fields under Hannan’s condition. Zbl 1312.60031
Volný, Dalibor; Wang, Yizao
2014
Quenched central limit theorems for sums of stationary processes. Zbl 1290.60027
Volný, Dalibor; Woodroofe, Michael
2014
A strictly stationary $$\beta$$-mixing process satisfying the central limit theorem but not the weak invariance principle. Zbl 1323.60041
Giraudo, Davide; Volný, Dalibor
2014
A counter example to central limit theorem in Hilbert spaces under a strong mixing condition. Zbl 1334.60020
Giraudo, Davide; Volný, Dalibor
2014
A central limit theorem for stationary random fields. Zbl 1308.60025
El Machkouri, Mohamed; Volný, Dalibor; Wu, Wei Biao
2013
A quenched invariance principle for stationary processes. Zbl 1277.60056
Cuny, Christophe; Volný, Dalibor
2013
On martingale approximation of adapted processes. Zbl 1246.60054
Queffélec, Hervé; Volný, Dalibor
2012
Central limit theorems for superlinear processes. Zbl 1210.60028
Volný, Dalibor; Woodroofe, Michael; Zhao, Ou
2011
An example of non-quenched convergence in the conditional central limit theorem for partial sums of a linear process. Zbl 1213.60051
Volný, Dalibor; Woodroofe, Michael
2010
A central limit theorem for reversible processes with nonlinear growth of variance. Zbl 1208.60025
Zhao, Ou; Woodroofe, Michael; Volný, Dalibor
2010
Martingale approximation and optimality of some conditions for the central limit theorem. Zbl 1205.60075
Volný, Dalibor
2010
On sums of indicator functions in dynamical systems. Zbl 1221.37012
Durieu, Olivier; Volný, Dalibor
2010
New techniques for empirical processes of dependent data. Zbl 1176.60023
Dehling, Herold; Durieu, Olivier; Volny, Dalibor
2009
On the exactness of the Wu-Woodroofe approximation. Zbl 1177.60032
Klicnarová, Jana; Volný, Dalibor
2009
Comparison between criteria leading to the weak invariance principle. Zbl 1182.60010
Durieu, Olivier; Volný, Dalibor
2008
A conditional CLT which fails for ergodic components. Zbl 1147.60016
Ouchti, L.; Volný, D.
2008
On the weak invariance principle for non-adapted sequences under projective criteria. Zbl 1137.60016
Dedecker, Jérôme; Merlevède, Florence; Volný, Dalibor
2007
A nonadapted version of the invariance principle of Peligrad and Utev. Zbl 1120.60030
Volný, Dalibor
2007
On the ergodicity of Weyl sum cocycles. Zbl 1127.37005
Greschonig, Gernot; Nerurkar, Mahesh; Volný, Dalibor
2007
Martingale approximation of nonadapted stochastic processes with nonlinear growth of variance. Zbl 1111.60016
Volný, Dalibor
2006
Martingale approximation of nonstationary stochastic processes. Zbl 1103.60038
Volný, Dalibor
2006
Coboundaries in $$L_{0}^{\infty}$$. Zbl 1055.60018
Volný, Dalibor; Weiss, Benjamin
2004
On the central and local limit theorem for martingale difference sequences. Zbl 1080.60015
El Machkouri, Mohamed; Volný, Dalibor
2004
Completely squashable smooth ergodic cocycles over irrational rotations. Zbl 1057.37003
Volný, Dalibor
2003
Random ergodic theorems and real cocycles. Zbl 1023.37001
Lemańczyk, Mariusz; Lesigne, Emmanuel; Parreau, François; Volný, Dalibor; Wierdl, Maté
2002
Large deviations for martingales. Zbl 1059.60033
Lesigne, Emmanuel; Volný, Dalibor
2001
On the invariance principle and the law of iterated logarithm for stationary processes. Zbl 0974.60013
Volný, Dalibor; Samek, Pavel
2000
Large deviations for generic stationary processes. Zbl 0973.28014
Lesigne, Emmanuel; Volný, Dalibor
2000
Invariance principles and Gaussian approximation for strictly stationary processes. Zbl 0939.37006
Volný, Dalibor
1999
A cut salad of cocyles. Zbl 0966.28010
Aaronson, Jon; Lemańczyk, Mariusz; Volný, Dalibor
1998
Sums of continuous and differentiable functions in dynamical systems. Zbl 0881.28012
Liardet, Pierre; Volný, Dalibor
1997
Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces. Zbl 0876.28021
Lemańczyk, M.; Parreau, F.; Volný, D.
1996
Constructions of smooth and analytic cocycles over irrational circle rotations. Zbl 0866.28014
Volný, Dalibor
1995
Approximating martingales and the central limit theorem for strictly stationary processes. Zbl 0765.60025
Volný, Dalibor
1993
Uniqueness of a martingale-coboundary decomposition of stationary processes. Zbl 0753.60032
Samek, Pavel; Volný, Dalibor
1992
The central limit problem for composed arrays of martingale differences. Zbl 0756.60025
Volný, Dalibor
1992
On limit theorems and category for dynamical systems. Zbl 0735.60025
Volný, Dalibor
1990
On non-ergodic versions of limit theorems. Zbl 0707.60027
Volný, Dalibor
1989
Counter examples to the central limit problem for stationary dependent random variables. Zbl 0663.60022
Volný, Dalibor
1988
Martingale decompositions of stationary processes. Zbl 0636.60034
Volný, Dalibor
1987
On the invariance principle and functional law of iterated logarithm for nonergodic processes. Zbl 0638.60048
Volný, Dalibor
1987
A nonergodic version of Gordin’s CLT for integrable stationary processes. Zbl 0629.60030
Volný, Dalibor
1987
The central limit problem for strictly stationary sequences. Zbl 0584.60037
Volný, D.
1985
Determinism and martingale decompositions of strictly stationary random processes. Zbl 0617.60033
Volný, Dalibor
1985
A negative answer to the central limit problem for strictly stationary sequences. Zbl 0568.60023
Volný, D.
1984
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#### Cited by 184 Authors

 30 Volný, Dalibor 20 Peligrad, Magda 13 Dedecker, Jérôme 11 Merlevède, Florence 9 Giraudo, Davide 8 Durieu, Olivier 7 Cuny, Christophe 7 Liu, Quansheng 7 Wu, Wei Biao 6 Lemańczyk, Mariusz 6 Wang, Yizao 5 Fan, Xiequan 4 Conze, Jean-Pierre 4 Peligrad, Costel 4 Stoica, George 4 Woodroofe, Michael Barrett 4 Zhang, Na 3 Dede, Sophie 3 El Machkouri, Mohamed 3 Grama, Ion G. 3 Hao, Shunli 3 Jirak, Moritz 3 Kachurovskii, Aleksander G. 3 Klicnarová, Jana 3 Longla, Martial 3 Melbourne, Ian 3 Mikosch, Thomas 3 Parreau, François 3 Podvigin, Ivan Viktorovich 3 Weiss, Benjamin 3 Zhao, Ou 2 Aaronson, Jon 2 Barrera, David 2 Bayart, Frédéric 2 Buczolich, Zoltán 2 Dehling, Herold G. 2 Frączek, Krzysztof Marek 2 Gorodnik, Alexander 2 Lacoin, Hubert 2 Lesigne, Emmanuel 2 Lin, Jinguan 2 Minabutdinov, A. R. 2 Nerurkar, Mahesh G. 2 Nicol, Matthew 2 Ouchti, Lahcen 2 Reding, Lucas 2 Roy, Emmanuel 2 Rozhdestvenskij, A. V. 2 Tusche, Marco 2 Utev, Sergey 2 Watbled, Frédérique 2 Zhou, Xingcai 1 Alves, José Ferreira 1 Ammous, Sinda 1 Anh, Vo V. 1 Avdeeva, Maria 1 Avila Cordeiro de Melo, 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 Chan, Ngai Hang 1 Chazottes, Jean-René 1 Chen, Changhao 1 Chernov, A. I. 1 Chulaevsky, Victor 1 Cohen, Guy 1 de la Rue, Thierry 1 de Lima, Amanda Ferreira 1 del Junco, Andres 1 Demers, Mark F. 1 Dette, Holger 1 Djellout, Hacène 1 Dolgopyat, Dmitry 1 Dombry, Clément 1 Doukhan, Paul 1 Dumaz, Laure 1 Duryev, Eduard 1 Fan, Ai Hua 1 Freitas, Jorge Milhazes 1 Gordin, Mikhail Iosifovich 1 Gouëzel, Sébastien 1 Greschonig, Gernot 1 Guillotin-Plantard, Nadine 1 Hadjikyriakou, Milto 1 Hagemann, Andreas 1 Han, Xu 1 Heinrichs, Florian ...and 84 more Authors
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#### Cited in 54 Serials

 28 Stochastic Processes and their Applications 14 Journal of Theoretical Probability 13 Stochastics and Dynamics 11 Statistics & Probability Letters 10 Journal of Mathematical Analysis and Applications 10 Bernoulli 9 The Annals of Probability 7 Ergodic Theory and Dynamical Systems 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Statistics 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Transactions of the American Mathematical Society 4 Journal of Applied Probability 4 Journal of Statistical Planning and Inference 4 Journal of Mathematical Sciences (New York) 3 Israel Journal of Mathematics 3 Journal d’Analyse Mathématique 3 Journal of Multivariate Analysis 3 Probability Theory and Related Fields 2 Nonlinearity 2 Advances in Mathematics 2 Journal of Econometrics 2 The Annals of Applied Probability 2 Electronic Communications in Probability 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Electronic Journal of Statistics 1 Advances in Applied Probability 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Theory of Probability and its Applications 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 Mathematische Annalen 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the Moscow Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Mathematical Methods of Statistics 1 Statistical Papers 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 Matematicheskie Trudy 1 Econometric Theory 1 Brazilian Journal of Probability and Statistics 1 Stochastics 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
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#### Cited in 21 Fields

 156 Probability theory and stochastic processes (60-XX) 46 Dynamical systems and ergodic theory (37-XX) 35 Statistics (62-XX) 24 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 4 Number theory (11-XX) 4 Operator theory (47-XX) 3 Topological groups, Lie groups (22-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX)