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Minimizing topological entropy for maps of the circle

Published online by Cambridge University Press:  19 September 2008

Louis Block ,
Ethan M. Coven  and
Zbigniew Nitecki
Louis Block
Affiliation:
From the University of Florida, Gainesville, Fla.
Ethan M. Coven*
Affiliation:
Wesleyan University, Middletown, Conn.
Zbigniew Nitecki
Affiliation:
Tufts University, Medford, Mass.
*
†Address for correspondence: Ethan M. Coven, Department of Mathematics, Wesleyan University, Middletown, Conn. 06457, USA.
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Abstract

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For each n≥2, we find the minimum value of the topological entropies of all continuous self-maps of the circle having a fixed point and a point of least period n, and we exhibit a map with this minimal entropy.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 2 , June 1981 , pp. 145 - 149
Copyright
Copyright © Cambridge University Press 1981

References

REFERENCES

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