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Beta-Integers and Quasicrystals Balkova

Beta-Integers and Quasicrystals

Balkova

Published April 1st 2014
ISBN : 9783639712421
Paperback
164 pages
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 About the Book 

This book is devoted to the study of beta-integers, an equivalent of integers in the so-called Renyi nonstandard numeration systems where instead of an integer base, one considers irrational bases. This book includes results concerning arithmetics ofMoreThis book is devoted to the study of beta-integers, an equivalent of integers in the so-called Renyi 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.