20 citations · 32 across the 5 of their papers we have counts for
10 papers
Linear recursive odometers and beta-expansions
Maria Rita Iacò, Wolfgang Steiner, Robert F. Tichy
The aim of this paper is to study the connection between different properties related to -expansions. In particular, the relation between two conditions, both ensuring pure disc…
Discrepancy of generalized -sequences
Maria Rita Iacò, Volker Ziegler
The -sequences are a parametric family of sequences of points in the unit interval. They were introduced by Carbone, who also proved that under an appropriate choice of the par…
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…
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…
Low discrepancy sequences: Theory and Applications
Maria Rita Iacò
The main topic of this present thesis is the study of the asymptotic behaviour of sequences modulo 1. In particular, by using ergodic and dynamical methods, a new insight to proble…
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…
Optimal Bounds for Integrals with Respect to Copulas and Applications
Markus Hofer, Maria Rita Iacò
We consider the integration of two-dimensional, piecewise constant functions with respect to copulas. By drawing a connection to linear assignment problems, we can give optimal upp…
Ergodic properties of β-adic Halton sequences
Markus Hofer, Maria Rita Iacò, Robert Tichy
We investigate a parametric extension of the classical s-dimensional Halton sequence, where the bases are special Pisot numbers. In a one- dimensional setting the properties of suc…
-sequences of points in the unit square
Ingrid Carbone, Maria Rita Iacò, Aljoša Volčič
We define a countable family of sequences of points in the unit square: the {\it -sequences of points à la Halton}. They reveal a very strange and interesting behaviour, as wel…
A dynamical system approach to the Kakutani-Fibonacci sequence
Ingrid Carbone, Maria Rita Iacò, Aljoša Volčič
In this paper we consider the sequence of Kakutani's -refinements corresponding to the inverse of golden ratio (which we call Kakutani-Fibonacci sequence of partitions) and asso…