20 citations · 52 across the 37 of their papers we have counts for
7 papers · 1 filter
On functions of bounded variation
Christoph Aistleitner, Florian Pausinger, Anne Marie Svane +1
The recently introduced concept of -variation unifies previous concepts of variation of multivariate functions. In this paper, we give an affirmative answer to the ope…
The Kadec-Peł czynski theorem in ,
Istvan Berkes, Robert Tichy
By a classical result of Kadec and Pełczynski (1962), every normalized weakly null sequence in , contains a subsequence equivalent to the unit vector basis of o…
An extremal problem in uniform distribution theory
Vladimir Baláž, Maria Rita Iacò, Oto Strauch +2
In this paper we consider an optimization problem for Cesàro means of bivariate functions. We apply methods from uniform distribution theory, calculus of variations and ideas from…
Functional composition of polynomials: indecomposability, Diophantine equations and lacunary polynomials
Dijana Kreso, Robert F. Tichy
Starting from Ritt's classical theorems, we give a survey of results in functional decomposition of polynomials and of applications in Diophantine equations. This includes sufficie…
Distribution functions, extremal limits and optimal transport
Maria Rita Iacò, Stefan Thonhauser, Robert F. Tichy
Encouraged by the study of extremal limits for sums of the form with uniformly distributed sequences th…
Measure density for set decompositions and uniform distribution
Maria Rita Iacò, Milan Paštéka, Robert F. Tichy
The aim of this paper is to extend the concept of measure density introduced by Buck for finite unions of arithmetic progressions, to arbitrary subsets of N defined by a given syst…
Dynamical systems and uniform distribution of sequences
M. G. Madritsch, R. F. Tichy
We give a survey on classical and recent applications of dynamical systems to number theoretic problems. In particular, we focus on normal numbers, also including computational asp…