Reminder

In all DK related publications, it is required to acknowledge support of the FWF. The following naming convention must be used in all cases:

    Austrian Science Fund (FWF): W1230

For example, you may include a sentence such as "The author acknowledges the support of the Austrian Science Fund (FWF): W1230." Please do not forget!

Project 2:
Probabilistic methods in combinatorial number theory

2010
[18]Christoph Aistleitner, István Berkes and Robert Tichy, Lacunary sequences and permutations, In Dependence in Probability, Analysis and Number Theory (István Berkes, others, eds.), Kendrick Press, 35-49, (2010). [bibtex]
[17]Dependence in Probability, Analysis and Number Theory, (István Berkes, Richard C. Bradley, Herold Dehling, Magda Peligrad, Robert Tichy, eds.), Kendrick Press, Heber City, UT, iv+353, (2010). [bibtex]
2011
[16]Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of Hardy-Littlewood-Pólya sequences, Transactions of the American Mathematical Society, 363, 6219-6244, (2011). [bibtex] [doi]
[15]Christoph Aistleitner, István Berkes and Robert Tichy, On the asymptotic behavior of weakly lacunary sequences, Proceedings of the American Mathematical Society, 139, 2505-2517, (2011). [bibtex] [doi]
2012
[14]Christoph Aistleitner, István Berkes and Robert Tichy, On permutations of lacunary series, Chapter in Functions in number theory and their probabilistic aspects, Res. Inst. Math. Sci. (RIMS), Kyoto, B34, 1-25, (2012). [bibtex] [url]
[13]Christoph Aistleitner, István Berkes and Robert Tichy, On the law of the iterated logarithm for permuted lacunary sequences, Proceedings of the Steklov Institute of Mathematics, 276, 3-20, (2012). [bibtex] [doi]
[12]Christoph Aistleitner, István Berkes and Robert Tichy, Analytic and probabilistic methods in number theory, In , TEV, 1-18, (2012). (Proceedings of the 5th International Conference in honour of J. Kubilius held in Palanga) [bibtex]
2014
[11]Alina Bazarova, István Berkes and Lajos Horváth, Trimmed stable AR(1) processes, Stochastic Processes and Applications, 124, 3441-3462, (2014). [bibtex] [pdf] [doi]
[10]Alina Bazarova, István Berkes and Lajos Horváth, On the central limit theorem for modulus trimmed sums, Statistics & Probability Letters, 86, 61-67, (2014). [bibtex] [pdf] [doi]
[9]Alina Bazarova, Asymptotic properties of trimmed sums and their applications in Analysis and Statistics, PhD thesis, TU Graz, (2014). [bibtex] [url]
[8]Marko Raseta, On lacunary series with random gaps, Acta Mathematica Hungarica, 144(1), 150-161, (2014). [bibtex] [doi]
[7]Marko Raseta, Lacunary Series with Random Gaps, PhD thesis, TU Graz, (2014). [bibtex] [url]
2015
[6]Alina Bazarova, István Berkes and Lajos Horváth, Change point detection with stable ${\rm AR}(1)$ errors, Chapter in Asymptotic laws and methods in stochastics, Fields Inst. Res. Math. Sci., Toronto, ON, 76, 179–193, (2015). [bibtex] [pdf] [doi]
[5]István Berkes and Marko Raseta, On the discrepancy and empirical distribution function of $\{n_k\alpha\}$, Uniform Distribution Theory, 10(1), 1-17, (2015). [bibtex] [pdf]
[4]István Berkes and Robert Tichy, Lacunary series and stable distributions, Chapter in Mathematical statistics and limit theorems, Springer, 7–19, (2015). (P. Deheuvels festschrift) [bibtex] [pdf]
[3]István Berkes and Robert Tichy, On permutation-invariance of limit theorems, Journal of Complexity, 31(3), 372–379, (2015). [bibtex] [doi]
2016
[2]Alina Bazarova, István Berkes and Lajos Horváth, On the extremal theory of continued fractions, Journal of Theoretical Probability, 29, 248–266, (2016). [bibtex] [doi]
[1]I. Berkes and R. Tichy, The Kadec-Pełczyński theorem in $L^p$, $1\leq p<2$, Proceedings of the American Mathematical Society, 144(5), 2053–2066, (2016). [bibtex] [doi]