Minimal entropy for endomorphisms of the circle
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- by Ryuichi Ito PDF
- Proc. Amer. Math. Soc. 86 (1982), 321-327 Request permission
Abstract:
Let $f$ be an endomorphism (continuous map) of the circle which has two periodic points of period $m$ and $n$ respectively such that $m \geqslant 2,n \geqslant 2$ and $(m,n) = 1$, then topological entropy $h(f) \geqslant \log {\mu _{m,n}}$ where ${\mu _{m,n}}$ is the largest zero of the polynomial ${x^{m + n}} - {x^m} - {x^n} - 1$.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 321-327
- MSC: Primary 58F20; Secondary 58F11
- DOI: https://doi.org/10.1090/S0002-9939-1982-0667298-5
- MathSciNet review: 667298