## Topological entropy of block maps

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- by Ethan M. Coven PDF
- Proc. Amer. Math. Soc.
**78**(1980), 590-594 Request permission

## Abstract:

We show that $h({f_\infty }) = \log 2$ where ${f_\infty }$ is the map on the space of sequences of zeros and ones induced by the block map $f({x_0}, \ldots ,{x_k}) = {x_0} + \Pi _{i = 1}^k({x_i} + {b_i})$ where $k \geqslant 2$ and the*k*-block ${b_1} \ldots {b_k}$ is aperiodic.

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## Additional Information

- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**78**(1980), 590-594 - MSC: Primary 54H20; Secondary 54C70
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556638-1
- MathSciNet review: 556638