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Maria Rita Iacò, Wolfgang Steiner and Robert F. Tichy

Abstract

The aim of this paper is to study the connection between different properties related to β-expansions. In particular, the relation between two conditions, both ensuring purely discrete spectrum of the odometer, is analyzed. The first one is the so-called Hypothesis B for the G-odometers and the second one is denoted by (QM) and it has been introduced in the framework of tilings associated to Pisot β-numerations.

Open access

Vladimír Baláž, Maria Rita Iacò, Oto Strauch, Stefan Thonhauser and Robert F. Tichy

Abstract

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 the theory of optimal transport.