182 citations · 508 across the 28 of their papers we have counts for
32 papers
Lacunary Series, Nonlinear Functionals and Banach Space Structure
Istvan Berkes, Eduard Stefanescu, Robert Tichy
In a previous paper \cite{BT} we studied the asymptotic behavior of for lacunary sequences of random variables in and used the r…
A Marcinkiewicz-Zygmund inequality and the Kadec Pełczynśki theorem in Orlicz spaces
Istvan Berkes, Eduard Stefanescu, Robert Tichy
In this paper, we extend the Marcinkiewicz--Zygmund inequality to the setting of Orlicz and Lorentz spaces. Furthermore, we generalize a Kadec--Pełczyński-type result -- originally…
Lacunary sequences in analysis, probability and number theory
Christoph Aistleitner, Istvan Berkes, Robert Tichy
In this paper we present the theory of lacunary trigonometric sums and lacunary sums of dilated functions, from the origins of the subject up to recent developments. We describe th…
Random walks on the circle and Diophantine approximation
Istvan Berkes, Bence Borda
Random walks on the circle group whose elementary steps are lattice variables with span or taken mod …
On the discrepancy of random subsequences of II
Istvan Berkes, Bence Borda
Let be an irrational number, let be independent, identically distributed, integer-valued random variables, and put . Assuming that $X_1…
On the discrepancy of random subsequences of
Istvan Berkes, Bence Borda
For irrational , is uniformly distributed mod 1 in the Weyl sense, and the asymptotic behavior of its discrepancy is completely known. In contrast, very few precise res…