This collaborative volume presents recent trends arising from the fruitful interaction between
the themes of combinatorics on words, automata and formal language theory, and number …

Le but de ce survol est d'aborder définitions et propriétés concernant la numération d'un
point de vue dynamique: nous nous concentrons sur les systèmes de numération, leur …

This paper is concerned with the metric properties of β-expansions over the field of formal
Laurent series. We will see that there are essential differences between β-expansions of the …

Let A∞ be an integer ring of a formal Laurent series field in one variable 1 t over a finite field
of order q, with a maximal ideal M∞. Then, we introduce beta-transformations U β on A∞ …

Let x∈ I be an irrational element and n⩾ 1, where I is the unit disc in the field of formal
Laurent series F ((X− 1)), we denote by kn (x) the number of exact partial quotients in …

Let be a field and [x, y] the ring of polynomials in two variables over. Let f∈[x, y] and
consider the residue class ring R:=[x, y]/f [x, y]. Our first aim is to study digit representations in …

It is well known that any power series over a finite field represents a rational function if and
only if its sequence of coefficients is ultimately periodic. The famous Christol's Theorem …

In this paper, we study the quantitative recurrence and hitting sets of β-transformation T β on
the unit disk I of formal Laurent series field $$ E_\phi:=\{x\in I:\| T_\beta^ nx-x\|<\|\beta\|^{-\phi …

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The present paper deals with β \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}
\usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} …