Research output per year
Research output per year
- 1 - 50 out of 133 results
Search results
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2023
Random walks on the circle and Diophantine approximation
Berkes, I. & Borda, B., Aug 2023, In: Journal of the London Mathematical Society. 108, 2, p. 409-440 32 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Some optimal conditions for the ASCLT
Berkes, I. & Hörmann, S., 6 May 2023, (E-pub ahead of print) In: Journal of Theoretical Probability. 19 p.Research output: Contribution to journal › Article › peer-review
Open Access -
2021
On the discrepancy of random subsequences of {nα}, II
Berkes, I. & Borda, B., 2021, In: Acta Arithmetica. 199, 3, p. 303-330 28 p.Research output: Contribution to journal › Article › peer-review
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2019
On the discrepancy of random subsequences of {nα}
Berkes, I. & Borda, B., 1 Jan 2019, In: Acta Arithmetica. 191, 4, p. 383-415 33 p.Research output: Contribution to journal › Article › peer-review
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On the law of the iterated logarithm for random exponential sums
Berkes, I. & Borda, B., 1 May 2019, In: Transactions of the American Mathematical Society. 371, 5, p. 3259-3280 22 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Strong approximation and a central limit theorem for St. Petersburg sums
Berkes, I., Nov 2019, In: Stochastic Processes and their Applications . 129, 11, p. 4500-4509 10 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2018
Berry–Esseen Bounds and Diophantine Approximation
Berkes, I. & Borda, B., 1 Jun 2018, In: Analysis Mathematica. 44, 2, p. 149-161 13 p.Research output: Contribution to journal › Article › peer-review
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2017
A metric discrepancy result with given speed
Berkes, I., Fukuyama, K. & Nishimura, T., 1 Feb 2017, In: Acta Mathematica Hungarica. 151, 1, p. 199-216 18 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Strong approximation of lacunary series with random gaps
Bazarova, A., Berkes, I. & Raseta, M., 26 May 2017, In: Monatshefte fur Mathematik. 186, 3, p. 393-406 14 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Strong approximation of the St. Petersburg game
Berkes, I., 3 Jan 2017, In: Statistics. 51, 1, p. 3-10 8 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2016
On the asymptotic normality of kernel estimators of the long run covariance of functional time series
Berkes, I., Horváth, L. & Rice, G., 2016, In: Journal of Multivariate Analysis. 144, p. 150-175Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On the extremal theory of continued fractions
Bazarova, A., Berkes, I. & Horváth, L., 2016, In: Journal of Theoretical Probability. 29, 1, p. 248-266Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Tail Probabilities of St. Petersburg Sums, Trimmed Sums, and Their Limit
Berkes, I., Györfi, L. & Kevei, P., 15 Mar 2016, In: Journal of Theoretical Probability. 30, 3, p. 1104-1129 26 p.Research output: Contribution to journal › Article › peer-review
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The Kadec-Pelczynski theorem in Lp, 1 ≤ p ≤ 2
Berkes, I. & Tichy, R., 2016, In: Proceedings of the American Mathematical Society. 144, 5, p. 2053-2066 14 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2015
Convergence of series of dilated functions and spectral norms of GCD matrices
Aistleitner, C., Berkes, I., Seip, K. & Weber, M., 2015, In: Acta Arithmetica. 168, p. 221-246Research output: Contribution to journal › Article › peer-review
Open AccessFile -
GCD sums from Poisson integrals and systems of dilated functions
Aistleitner, C., Berkes, I. & Seip, K., 2015, In: Journal of the European Mathematical Society. 17, 6, p. 1517-1546Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On permutation-invariance of limit theorems
Berkes, I. & Tichy, R., Jun 2015, In: Journal of Complexity. 31, 3, p. 372–379Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On the discrepancy and empirical distribution function of {nkα}
Berkes, I. & Raseta, M., 2015, In: Uniform Distribution Theory. 10, 1, p. 1-17Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2014
Komlós-Major-Tusnády approximation under dependence
Berkes, I., Liu, W. & Wu, W. B., 2014, In: The Annals of Probability. 42, 2, p. 794-814Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On series of dilated functions
Berkes, I. & Weber, M., 2014, In: The Quarterly Journal of Mathematics. 65, 1, p. 25-52Research output: Contribution to journal › Article › peer-review
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On series Σc k f(kx) and Khinchin’s conjecture
Berkes, I. & Weber, M., Feb 2014, In: Israel Journal of Mathematics. 201, 2, p. 593-609Research output: Contribution to journal › Article › peer-review
Open AccessFile -
On the central limit theorem for modulus trimmed sums
Bazarova, A., Berkes, I. & Horváth, L., Mar 2014, In: Statistics & Probability Letters. 86, 1, p. 61-67 7 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile -
Trimmed stable AR(1) processes
Bazarova, A., Berkes, I. & Horvath, L., 2014, In: Stochastic Processes and their Applications . 124, 10, p. 3441-3462Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2013
Limit distributions in metric discrepancy theory
Aistleitner, C. & Berkes, I., 2013, In: Monatshefte für Mathematik. 169, 3, p. 253-265Research output: Contribution to journal › Article › peer-review
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Weak invariance principles for sums of dependent random functions.
Berkes, I., Horvath, L. & Rice, G., 2013, In: Stochastic Processes and their Applications . 123, 2, p. 385-403Research output: Contribution to journal › Article › peer-review
Open AccessFile -
2012
Asymptotic behavior of trimmed sums
Berkes, I., Horvath, L. & Schauer, J., 2012, In: Stochastics and Dynamics. 12, 1, 14 p., 1150002.Research output: Contribution to journal › Article › peer-review
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On permutations of lacunary series
Aistleitner, C., Berkes, I. & Tichy, R., 2012, In: RIMS Kôkyûroku / Bessatsu. B34, p. 1-25Research output: Contribution to journal › Article
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On the law of large numbers and arithmetic functions
Berkes, I., Müller, W. & Weber, M., 2012, In: Indagationes Mathematicae. 23, 3, p. 547-555Research output: Contribution to journal › Article › peer-review
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On the law of the iterated logarithm for permuted lacunary sequences
Aistleitner, C., Berkes, I. & Tichy, R., 2012, In: Proceedings of the Steklov Institute of Mathematics. 276, p. 3-20Research output: Contribution to journal › Article › peer-review
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The central limit theorem for sums of trimmed variables with heavy tails
Berkes, I. & Horvath, L., 2012, In: Stochastic Processes and their Applications . 122, p. 449-465Research output: Contribution to journal › Article › peer-review
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2011
Asymptotics of trimmed CUSUM statistics
Berkes, I., Horvath, L. & Schauer, J., 2011, In: Bernoulli. 17, 4, p. 1344-1367Research output: Contribution to journal › Article › peer-review
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On permutations of Hardy- Littlewood-Pólya sequences
Aistleitner, C., Berkes, I. & Tichy, R., 2011, In: Transactions of the American Mathematical Society. 363, p. 6219-6244Research output: Contribution to journal › Article › peer-review
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On the asymptotic behavior of weakly lacunary sequences
Aistleitner, C., Berkes, I. & Tichy, R., 2011, In: Proceedings of the American Mathematical Society. 139, 7, p. 2505-2517Research output: Contribution to journal › Article › peer-review
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On the asymptotic behavior of weakly lacunary series
Aistleitner, C., Berkes, I. & Tichy, R., 1 Jul 2011, In: Proceedings of the American Mathematical Society. 139, 7, p. 2505-2517 13 p.Research output: Contribution to journal › Article › peer-review
Open Access -
On the strong law of large numbers and additive functions
Berkes, I., Müller, W. & Weber, M., 2011, In: Periodica Mathematica Hungarica. 62, 1, p. 1-12Research output: Contribution to journal › Article › peer-review
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Probability and metric discrepancy theory
Aistleitner, C. & Berkes, I., 2011, In: Stochastics and Dynamics. 11, 1, p. 183-207Research output: Contribution to journal › Article › peer-review
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Split invariance principles for stationary processes
Berkes, I., Hörmann, S. & Schauer, J., 2011, In: The Annals of Probability. 39, 6, p. 2441-2473Research output: Contribution to journal › Article › peer-review
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Testing for structural change of AR model to threshold AR models
Berkes, I., Horvath, L., Ling, S. & Schauer, J., 2011, In: Journal of Time Series Analysis. 32, 5, p. 547-565Research output: Contribution to journal › Article › peer-review
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2010
Noncentral limit theorems for random selections
Berkes, I., Horváth, L. & Schauer, J., 2010, In: Probability Theory and Related Fields. 147, p. 449-479Research output: Contribution to journal › Article › peer-review
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On functional versions of the arc sine laws
Berkes, I., Hörmann, S. & Horváth, L., 2010, In: Journal of Theoretical Probability. 23, p. 109-126Research output: Contribution to journal › Article › peer-review
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On the central limit theorem for $f(n_kx)$
Aistleitner, C. & Berkes, I., 2010, In: Probability Theory and Related Fields. 146, p. 267-289Research output: Contribution to journal › Article › peer-review
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Upper-lower class tests for weighted i.i.d. sequences and martingales
Berkes, I., Hörmann, S. & Weber, M., 2010, In: Journal of Theoretical Probability. 23, p. 428-446Research output: Contribution to journal › Article › peer-review
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2009
Asymptotic results for the empirical process of stationary sequences
Berkes, I. I., Hörmann, S. & Schauer, J., 2009, In: Stochastic Processes and their Applications . 119, 4, p. 1298-1324 27 p.Research output: Contribution to journal › Article › peer-review
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Detecting for changes in the mean of functional observations
Berkes, I., Gabrys, R., Horváth, L. & Kokoszka, P., 2009, In: Journal of the Royal Statistical Society / B. 71, 5, p. 927-946Research output: Contribution to journal › Article › peer-review
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Estimation in nonstationary random coefficient autoregressive models
Berkes, I., Horváth, L. & Lin, S., 2009, In: Journal of Time Series Analysis. 30, 4, p. 395-416Research output: Contribution to journal › Article › peer-review
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On functional versions of the arc-sine law
Berkes, I. I., Hörmann, S. & Horvath, L., 2009, In: Journal of Theoretical Probability. 23, 1, p. 109-126 18 p.Research output: Contribution to journal › Article › peer-review
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On the convergence of $\sum c_k f(n_kx)$
Berkes, I. & Weber, M., 2009, In: Memoirs of the American Mathematical Society. 201, 943, 72 p.Research output: Contribution to journal › Article › peer-review
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On the law of the iterated logarithm for the discrepancy of $\langle n_kx \rangle$
Aistleitner, C. & Berkes, I., 2009, In: Monatshefte für Mathematik. 156, p. 103-121Research output: Contribution to journal › Article › peer-review
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Testing for the changes in the covariance structure of linear processes
Berkes, I., Gombay, E. & Horváth, L., 2009, In: Journal of statistical planning and inference. 139, p. 2044-2063Research output: Contribution to journal › Article › peer-review
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2008
Entropy conditons for subsequences of random variables with applications to empirical processes
Berkes, I., Philipp, W. & Tichy, R., 2008, In: Monatshefte für Mathematik. 153, 3, p. 183-204Research output: Contribution to journal › Article › peer-review