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Invariant measures for maps of the interval that do not have points of some period
Published online by Cambridge University Press: 19 September 2008
Abstract
We study invariant measures for a continuous function which maps a real interval into itself. We show that the ratio of the measures of the two subintervals into which it is divided by a fixed point is constrained by the the set of periods of periodic points. As a consequence of this we give a new forcing relation between periodic points.
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- Copyright © Cambridge University Press 1994
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