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Showing 1 to 3 of 3 for “"rational semigroups"”.
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Completely Invariant Julia Sets of Rational Semigroups
… to have particular importance to the study of rational semigroups.
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Dynamics and Measures for Semigroups of Rational Functions
In addition in Chapter 6 we provide examples of rational semigroups where the Fatou set contains an arbitrary finite number of components. The Fatou set of a single rational function must contain zero, one, two or infinitely many components.
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Effective integrality results in arithmetic dynamics
Given a rational function f defined over a number field K, S. Ih conjectured the finiteness of f-preperiodic points which are S-integral relative to a given non-preperiodic point β. This conjecture remains open, but certain special cases have been proved. We formulate a generalisation of Ih's …