Minimizing topological entropy for maps of the circle
- 1 June 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 1 (2) , 145-149
- https://doi.org/10.1017/s0143385700009184
Abstract
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.Keywords
This publication has 2 references indexed in Scilit:
- Periods of Periodic Points of Maps of the Circle which Have a Fixed PointProceedings of the American Mathematical Society, 1981
- Periodic Orbits of Continuous Mappings of the CircleTransactions of the American Mathematical Society, 1980