20 citations · 32 across the 5 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…