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Rational preperiodic points of rational maps [PDF]

open access: yes
In this thesis we focus on the preperiodic and periodic points of the dynamicalsystems associated to rational maps of degree 2. We discuss the state of the artregarding rational preperiodic points of polynomials of degree 2 defined over therational field with an emphasis on the Uniform Boundedness Conjecture on thenumber of such points.
Bulut, Kader
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Rational Points on the Sphere

The Ramanujan Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Rationalizing Focal Points

Theory and Decision, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On fixed points of rational transductions

Theoretical Computer Science, 2018
In this short paper, the authors prove that the fixed point problem for injective rational functions is undecidable. A function is called rational, if it can be computed by a transducer (an automaton with outputs). For this, the authors use the undecidability of the Post corresponding problem for injective morphisms and some characterizations of ...
Vesa Halava, Tero Harju, Esa Sahla
openaire   +4 more sources

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