6 citations · 17 across the 6 of their papers we have counts for
7 papers
Steiner symmetrization with respect to the Kakutani-Fibonacci sequence of directions
Ingrid Carbone, Aljoša Volčič
In this paper we will prove that for any planar measurable set of finite measure , its successive Steiner symmetrizations with respect to the Kakutani-Fibonacci sequence of dire…
How to construct generalized van der Corput sequences
Ingrid Carbone
The LS-sequences of points recently introduced by the author are a generalization of van der Corput sequences. They were constructed by reordering the points of the corresponding L…
-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…
A van der Corput-type algorithm for LS-sequences of points
Ingrid Carbone
In this paper we associate to any -sequence of partitions the corresponding -sequence of points obtained reordering the points of each partition…
Discrepancy of LS-sequences of partitions
Ingrid Carbone
In this paper we give a precise estimate of the discrepancy of a class of uniformly distributed sequences of partitions. Among them we found a large class having low discrepancy (w…