Self-similar sets require a separation condition to admit a nice mathematical structure. The
classical open set condition (OSC) is difficult to verify. Zerner proved that there is a positive …

Expansion of real numbers is a basic research topic in number theory. Usually we expand
real numbers in one given base. In this paper, we begin to systematically study expansions …

Given a positive integer M and a real number q> 1 q> 1, aq-expansion of a real number x is
a sequence (c_i)= c_1c_2 ... (ci)= c 1 c 2… with (c_i) ∈ {0, ..., M\}^ ∞ (ci)∈ 0,…, M∞ such …

Beta-expansions for infinite families of Pisot and Salem numbers Page 1 Journal of Number
Theory 128 (2008) 2756–2765 www.elsevier.com/locate/jnt Beta-expansions for infinite …

This paper is based on a talk given at WWCA (Waterloo Workshop on Computer Algebra)
held at Wilfird Laurier University, April 2006. This paper gives a history of beta-expansions …

Univoque numbers are real numbers $\lambda> 1$ such that the number 1 admits a unique
expansion in base $\lambda $, ie, a unique expansion $1=\sum_ {j\geq 0} a_j\lambda^{-(j+ …

The study of combinatorics on words dates back at least to the beginning of the 20th century
and the work of Axel Thue. Thue was the first to give an example of an infinite word over a …

Abstract Text By Zeckendorf's theorem each positive integer is uniquely written as a sum of
distinct non-adjacent terms of the Fibonacci sequence. This representability remains true for …

The subshift of finite type property (also known as the Markov property) is ubiquitous in
dynamical systems and the simplest and most widely studied class of dynamical systems are …

A property of algebraic univoque numbers Page 1 Acta Math. Hungar., 119 (1-2) (2008), 57-62.
DOI: 10.1007/sl0474-007-6252-x First published online September 21, 2007 A PROPERTY OF …