Lubomíra Balková

Beta-integers and Quasicrystals Lubomíra Balková

This book is devoted to the study of beta-integers, an equivalent of integers in the so-called Rényi nonstandard numeration systems where instead of an integer base, one considers irrational bases. This book includes results concerning arithmetics of beta-integers, combinatorics on words coding distances between consecutive beta-integers, and applications in the theory of quasicrystals.