The easily bored sequence. (English) Zbl 1516.11078
The aim of the present paper is to study the binary sequence obtained in the process of minimizing repetitiveness at each digit choice. To achieve this, the author manages to construct and study a sequence called Easily Bored Sequence (EBS) similar to the Linux sequence with differences in their language and asymptotic properties and find out related topological dynamical systems as well.
Reviewer: Chryssoula Ganatsiou (Larissa)
MSC:
| 11K31 | Special sequences |
| 37B10 | Symbolic dynamics |
| 37B40 | Topological entropy |
| 26A30 | Singular functions, Cantor functions, functions with other special properties |
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