PERIODS OF PERIODIC POINTS FOR TRANSITIVE DEGREE ONE MAPS OF THE CIRCLE WITH A FIXED POINT
M. C. HIDALGO
Abstract.
A map of a circle is a continuous function from the circle to itself. Such a map is transitive if there is a point with a dense orbit. For degree one transitive maps of the circle with a fixed point, we give all possible sets of periods and the best lower bounds for topological entropy in terms of the set of periods.
AMS subject classification.
Keywords.
Transitive map of the circle, topological entropy of maps of the circle, degree one map of the circle
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