ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. 61,   2   (1992)
pp.   167-183

ROTATION SETS FOR SOME NON-CONTINUOUS MAPS OF DEGREE ONE
F. ESQUEMBRE


Abstract.  Iteration of liftings of non necessarily continuous maps of the circle into itself are considered as discrete dynamical systems of dimension one. The rotation set has proven to be a powerful tool to study the set of possible periods and the behaviour of orbits for continuous and old heavy maps. An extension of the class of maps for which the rotation set maintains this power is given.

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Acta Mathematica Universitatis Comenianae
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