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Semigroups and the self-similar structure of the flipped tribonacci substitution

✍ Scribed by V.F. Sirvent


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
258 KB
Volume
12
Category
Article
ISSN
0893-9659

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✦ Synopsis


Using the numeration system associated to the substitution 1 --* 12, 2 --, 31, 3 ---* i, we define a binary operation, which generates a semigroup on a subset of N. This semigroup represents the self-similar structure defined by an Iterated Function System (IFS) on the dynamical system associated to this substitution. (~) 1998 Elsevier Science Ltd. All rights reserved.


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