Quadratic maps with a periodic critical point of period 2
From MaRDI portal
Publication:5272469
DOI10.1142/S1793042117500786zbMath1392.37100arXiv1510.04726OpenAlexW2962964279MaRDI QIDQ5272469
Solomon Vishkautsan, Jung Kyu Canci
Publication date: 29 June 2017
Published in: International Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.04726
rational pointperiodic pointarithmetic dynamicsquadratic mappreperiodic pointmoduli curvepreperiodicity graph
Arithmetic and non-Archimedean dynamical systems involving polynomial and rational maps (37P05) Arithmetic properties of periodic points (37P35)
Related Items (2)
Moduli spaces for dynamical systems with portraits ⋮ Quadratic rational functions with a rational periodic critical point of period 3
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- The classification of rational preperiodic points of quadratic polynomials over \(\mathbb{Q}\): A refined conjecture
- The Magma algebra system. I: The user language
- Cycles of quadratic polynomials and rational points on a genus-2 curve
- On Poonen's conjecture concerning rational preperiodic points of quadratic maps
- Preperiodic points for quadratic polynomials over quadratic fields
- Periodic points on an algebraic variety
- A local–global principle in the dynamics of quadratic polynomials
- A census of quadratic post-critically finite rational functions defined over
- Rational 6-Cycles Under Iteration of Quadratic Polynomials
- The Mordell–Weil sieve: proving non-existence of rational points on curves
- Moduli Spaces of Quadratic Rational Maps with a Marked Periodic Point of Small Order
- Arithmetic properties of periodic points of quadratic maps, II
- Geometry and Dynamics of Quadratic Rational Maps
- Periodic points, multiplicities, and dynamical units.
- ℚ-rational cycles for degree-2 rational maps having an automorphism
- Benedetto’s trick and existence of rational preperiodic structures for quadratic polynomials
- Determination of all rational preperiodic points for morphisms of PN
- Small Dynamical Heights for Quadratic Polynomials and Rational Functions
- Algorithmic Number Theory
This page was built for publication: Quadratic maps with a periodic critical point of period 2