Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Iacò, Maria Rita"'
The aim of this paper is to study the connection between different properties related to $\beta$-expansions. In particular, the relation between two conditions, both ensuring pure discrete spectrum of the odometer, is analysed. The first one is the s
Externí odkaz:
http://arxiv.org/abs/1604.07223
Autor:
Iacò, Maria Rita, Ziegler, Volker
The $LS$-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 parameters $L$ and $S$, such sequences are low-discrepancy. The aim of th
Externí odkaz:
http://arxiv.org/abs/1503.07299
In this paper we consider an optimization problem for Ces\`aro means of bivariate functions. We apply methods from uniform distribution theory, calculus of variations and ideas from the theory of optimal transport.
Externí odkaz:
http://arxiv.org/abs/1503.03980
Encouraged by the study of extremal limits for sums of the form $$\lim_{N\to\infty}\frac{1 }{N}\sum_{n=1}^N c(x_n,y_n)$$ with uniformly distributed sequences $\{x_n\},\,\{y_n\}$ the following extremal problem is of interest $$\max_{\gamma}\int_{[0,1]
Externí odkaz:
http://arxiv.org/abs/1502.06839
Autor:
Iacò, Maria Rita
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 problems concerning the asymptotic behaviour of multidimensional sequences c
Externí odkaz:
http://arxiv.org/abs/1502.04897
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 system of decompositions. This leads to a variety of new examples and to a
Externí odkaz:
http://arxiv.org/abs/1502.01611
Autor:
Hofer, Markus, Iacò, Maria Rita
Publikováno v:
J. Optim. Theory Appl. 161 (2014), no. 3, 999-1011
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 upper and lower bounds for such integrals and construct the copulas for w
Externí odkaz:
http://arxiv.org/abs/1401.1602
Publikováno v:
Ergod. Th. Dynam. Sys. 35 (2015) 895-909
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 such sequences have already been in- vestigated by several authors [5, 8,
Externí odkaz:
http://arxiv.org/abs/1304.2644
We define a countable family of sequences of points in the unit square: the {\it $LS$-sequences of points \`a la Halton}. They reveal a very strange and interesting behaviour, as well as resonance phenomena, for which we have not found an explanation
Externí odkaz:
http://arxiv.org/abs/1211.2941
Autor:
Iacò, Maria Rita
The main purpose of this master thesis is to study the $LS$-sequences of points introduced by Carbone in \cite{Carbone} and find two generalizations of them to the unit square. Here we also present a new algorithm proposed by the same author in \cite
Externí odkaz:
http://arxiv.org/abs/1211.1793