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Rational preperiodic points of rational maps [PDF]

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 X0+(37M)

Journal of Number Theory, 2010
In this article, we prove that the Q-rational points on the modular curve X0+(37M) consist of cusps and CM points.
Keisuke Arai
exaly   +2 more sources

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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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Chapter V: Beyond Heights: Slopes and Distribution of Rational Points

, 2018
The distribution of rational points of bounded height on algebraic varieties is far from uniform. Indeed the points tend to accumulate on thin subsets which are images of non-trivial finite morphisms.
Emmanuel Peyre
semanticscholar   +1 more source

A neutral cross-efficiency evaluation method based on interval reference points in consideration of bounded rational behavior

European Journal of Operational Research, 2021
Cross-efficiency evaluation methods have long been suggested as an alternative for the ranking of decision making units (DMUs) in data envelopment analysis (DEA).
Hailiu Shi, Shengqun Chen, Lei Chen, Yingming Wang   +3 more
semanticscholar   +1 more source

Rational Points on the Sphere

The Ramanujan Journal, 2003
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
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Saddle points of rational functions

Computational Optimization and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guangming Zhou, Qin Wang, Wenjie Zhao
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Fibrations with few rational points

Geometric and Functional Analysis, 2015
We study the problem of counting the number of varieties in families which have a rational point. We give conditions on the singular fibres that force very few of the varieties in the family to contain a rational point, in a precise quantitative sense ...
D. Loughran, Arne Smeets
semanticscholar   +1 more source