• D. Volný M. Woodroofe;
Quenched central limit theorems for a stationary linear process
arXiv:1504.02453 (2015)
• D. Volný
A central limit theorem for fields of martingale differences.
arXiv:1504.02439 (2015)
• J. Klicnarová, D. Volný Y. Wang
Limit theorems for weighted Bernoulli random fields under Hannan's condition. .
arXiv:1504.01419 (2015)
• D. Giraudo, D. Volný
A counter example to the central limit theorem in Hilbert spaces under a strong mixing condition.
Electronic Communications in Probability vol. 19 (2014)
• D. Giraudo, D. Volný
A strictly stationary beta-mixing process satisfying the central limikt theorem but not the weak invariance principle.
Stochastic Processes ant their Applications vol. 124, pp. 3769-3781 (2014)
• D. Volný, Y. Wang;
An invariance principle for stationary random fields under Hannan's condition.
Stochastic Processes ant their Applications vol. 124, pp. 4012-4029 (2014)
• D. Volný, M. Woodroofe;
Quenched central limit theorems for sums of stationary processes.
Statistics and Probability Letters vol. 85, pp. 161-167 (2014)
• Ch. Cuny, D. Volný
A quenched invariance principle for stationary processes.
Alea vol. 10(1), pp. 107-115 (2013)
• M. El Machkouri, D. Volný, W.B. Wu;
A central limit theorem for stationary random fields.
Stochastic Processes ant their Applications vol. 123, pp. 1-14 (2013)
• J. Klicnarová, D. Volný
On Zhao-Woodroofe's condition for martingale approximation.
Electronic Communications in Probability vol. 18, No. 36, pp. 1-8 (2013)
• H. Queffélec, D. Volný
On martingale approximation of adapted processes.
Journal of Theoretical Probability vol. 25 pp. 438-449 (2012)
• O. Durieu, D. Volný
An indicator function limit theorem in dynamical systems.
Dynamics and Stochastics, vol. 11, pp. 689-690 (2011)
• D. Volný, M. Woodroofe, Ou Zhao
Central limit theorems for superlinear processes.
Dynamics and Stochastics vol. 11 pp. 71-80 (2011)
• J. Klicnarová, D. Volný
Diagonal approximations by martingales.
Alea vol. 7 pp. 257-276 (2010)
• D. Volný
Martingale approximation and optimality of some conditions for the central limit theorem.
J. of Theoretical Probability vol. 23 pp. 888-903 (2010)
• O. Durieu, D. Volný
On sums of indicator functions in dynamical systems.
Ergodic Theory and Dynamical Systems vol. 30, 05 pp. 1419-1430 (2010)
• Ou Zhao, M. Woodroofe, D. Volný
A central limit theorem for reversible processes with nonlinear growth of variance.
, Journal of Applied Probability vol. 47 pp. 1195-2202 (2010)
• D. Volný, M. Woodroofe
An example of non-quenched convergence in the conditional central limit theorem for partial sums of a linear process.
in Dependence in Probability, Analysis and Number Theory A volume in memory of Walter Philipp. Edited by Istvan Berkes, Richard C. Bradley, Herold Dehling, Magda Peligrad and Robert Tichy, Kendrick Press, pp. 317-323 (2010)
• H. Dehling, O. Durieu, D. Volný
New techniques for empirical processes of dependent data.
Stochastic Processes and their Applications vol. 119 pp. 3699-3718 (2009)
• J. Klicnarová, D. Volný
On the exactness of the Wu-Woodroofe approximation.
Stochastic Processes and their Applications vol. 119 pp. 2158-2165 (2009)
• L. Ouchti, D. Volný
A Conditional CLT which Fails for Ergodic Components.
J. of Theoretical Probability vol. 21 pp. 687-703 (2008)
• O. Durieu, D. Volný
Projective criterion and martingale approximation.
Ann. Inst. H. Poincaré vol. 44 pp. 324-340 (2008)
• J. Dedecker, F. Merlevède, D. Volný
On the weak invariance principle for non adapted sequences under projective criteria.
J. of Theoretical Probability vol. 20 pp. 971-1004 (2007)
• J. Klicnarová, D. Volný
An invariance principle for non adapted processes.
C.R. Acad. Sci. Paris Ser 1 vol. 345/5 pp. 283-287 (2007)
• D. Volný
C.R. Acad. Sci. Paris Ser 1 vol. 345/3 pp. 167-169 (2007)
• G. Greschonig, M. Nerurkar, D. Volný
On the ergodicity of Weyl sum cocycles.
Ergodic Theory and Dynamical Systems vol. 27 pp. 1-13 (2007)
• D. Volný
Martingale approximation of non-stationary stochastic processes.
Dynamics and Stochastics vol. 6 pp. 173-183 (2006)
• D. Volný
Martingale approximation of non adapted stochastic processes with nonlinear growth of variance.
Dependence in Probability and Statistics Series: Lecture Notes in Statistics, Vol. 187 Bertail, Patrice; Doukhan, Paul; Soulier, Philippe (Eds.) (2006)
• D. Volný, B. Weiss
Coboundaries in $L_0^\infty$.
Ann. Inst. H. Poincaré vol. 40 pp. 771-778 (2004)
• M. El Machkouri, D. Volný
On the central and local limit theorems for martingale difference sequences.
Dynamics and Stochastics vol. 4 pp. 153-173 (2004)
• D. Volný
Completely squashable smooth ergodic cocycles over irrational rotations.
Topological Methods of Nonlinear Analysis vol. 22 pp. 331-344 (2003)
• M. El Machkouri, D. Volný
Contre-exemple dans le théorème central limite fonctionnel pour les champs aléatoires réels.
Ann. Inst. H. Poincaré vol. 39 pp. 325-337 (2003)
• M. Lemanczyk, E. Lesigne, F. Parreau, D. Volný, M. Wierdl
Random ergodic theorems and real cocycles.
Israel J. of Mathematics vol. 130 pp. 285-321 (2002)
• E. Lesigne, D. Volný
Large deviations for martingales.
Stochastic Processes and their Applications vol. 96 pp. 143-159 (2001)
• D. Volný et P. Samek
On the invariance principle and the law of iterated logarithm for stationary processes.
Mathematical Physics and Stochastic Analysis (Essays in Honour of Ludwig Streit), World Scientific Publishing Co. (Singapore, New Jersey, London, Hong Kong) eds. S. Albeverio, Ph. Blanchard, L. Ferreira, T. Hida, Y. Kondratiev, R. Vilela Mendes pp 424-438 2000
• E. Lesigne, D. Volný
Large deviations for generic stationary processes.
Colloquium Mathematicum vol 84/85 (2000), pp 75-82
• D. Volný
Invariance principles and Gaussian approximation for strictly stationary processes.
Trans. Amer. Math. Soc. vol 351 (1999), pp 3351-3371
• J. Aaronson, M. Lemanczyk, D. Volný
Fundamenta Math. vol 158 (1998), pp 99-119
• D. Volný
BV coboundaries over irrational rotations.
Studia Mathematica vol 126(3) 1997, pp 253-271
• P. Liardet, D. Volný
Sums of continuous and differenctiable functions in dynamical systems.
Israel J. of Mathematics vol 98 (1997), pp 29-60
• M. Lemanczyk, F. Parreau, D. Volný
Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces.
Transactions Amer. Math. Soc. vol 348 (1996), pp 4919-4938
• D. Volný
Constructions of smooth and analytic cocycles over irrational circle rotations.
Comment. Math. Univ. Carolinae vol 36(4) 1995, pp 745-764
• D. Volný
Approximating martingales and the central limit theorem for strictly stationary processes.
Stochastic Processes and their Applications vol 44 (1993) pp 41-74
• P. Samek, D. Volný
Uniqueness of a martingale-coboundary decomposition of stationary processes.
Comment. Math. Univ. Carolinae. vol 33(1) 1992, pp 113-119
• D. Volný
The central limit problem for composed arrays of martingale differences.
Statistics & Decisions vol 10 (1992), pp 281-290
• D. Volný
On limit theorems and category for dynamical systems.
Yokohama Math. J.
vol 38 (1990). pp 29-35
• R. Yokoyama, D. Volný
On central limit theorem and law of iterated logarithm for stationary linear processes.
Proc. of the Fourth Prague Symp. on Asymptot. Statistics (eds. P.Mandl and M.Hu\v sková) 1989, pp 535-538
• D. Volný
On non ergodic versions of limit theorems.
Aplikace matematiky 34 (1989), pp 351-363
• D. Volný
A central limit theorem for non stationary mixing processes.
Comment. Math. Univ. Carolinae vol 30(2) 1989, pp 405-407
• D. Volný
Counter examples to the central limit problem for stationary dependent random variables.
Yokohama Math. J.
vol 36 (1988), pp 69-78
• D. Volný
Approximation of stationary processes and the central limit problem.
Lecture Notes in Mathematics 1299 (Proc. of the Fifth Japan-USSR Symposium on Probability and Statistics, Kyoto 1986, eds. S.Watanabe and Yu.V.Prokhorov) 1988, pp 532-539
• D. Volný
On the invariance principle and functional law of iterated logarithm for nonergodic processes.
Yokohama Math. J. vol 35 (1987), pp 137-141.
• D. Volný
Martingale decompositions of stationary processes.
Yokohama Math. J. vol 35 1987, pp 113-121
• D. Volný
On non ergodic version of Gordin's CLT for integrable stationary processes.
Comment. Math. Univ. Carolinae vol 28(3) 1987, pp 423-419.
• D. Volný
On the central limit problem for processes of zero entropy.
Comment. Math. Univ. Carolinae vol 26(2) 1985, pp 253-258
• D. Volný
Determinism and martingale decomposition of strictly stationary random processes.
Proc. 13th Winter School on Abstract Analysis, Suppl. si Rend. di Circ. Mat. di Palermo, Serie II - numero 10 (1985), pp 185-192.
• D. Volný
A negative answer to the central limit problem for strictly stationary sequences.
Proc. 3rd Prague Conf. on Asymptot. Statistics (eds. P.Mandl and M.Hušková) 1984, pp 433-441.
• J. Sedláček, M. Fábry, D. Volný, A. Vítek
The arrangement of nucleotides in the coding regions of natural templates.
Molec. gen. Genet. vol 172 (1979), pp 32-36
• J. Sedlácek, M. Fábry, D. Volný, A. Vítek
Base pairing mRNA-rRNA. The arrangement of nucleotides in the message for coat protein of phage MS 2.
Acta virol.vol 22 (1978), pp 356-361