Geodesic
PERIODS OF PERIODIC POINTS FOR TRANSITIVE DEGREE ONE MAPS OF THE CIRCLE WITH A FIXED POINT
Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1 
M. C. Hidalgo. PERIODS OF PERIODIC POINTS FOR TRANSITIVE DEGREE ONE MAPS OF THE CIRCLE WITH A FIXED POINT. Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a1/
@article{AMUC_1992_61_1_a1,
     author = {M. C. Hidalgo},
     title = {PERIODS {OF} {PERIODIC} {POINTS} {FOR} {TRANSITIVE} {DEGREE} {ONE} {MAPS} {OF} {THE} {CIRCLE} {WITH} {A} {FIXED} {POINT}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1992},
     volume = {61},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

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.