News on quadratic polynomials

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Date
2017
Volume
2/2017
Issue
Journal
Series Titel
Snapshots of Modern Mathematics from Oberwolfach
Book Title
Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach gGmbH
Abstract

Many problems in mathematics have remained unsolved because of missing links between mathematical disciplines, such as algebra, geometry, analysis, or number theory. Here we introduce a recently discovered result concerning quadratic polynomials, which uses a bridge between algebra and analysis. We study the iterations of quadratic polynomials, obtained by computing the value of a polynomial for a given number and feeding the outcome into the exact same polynomial again. These iterations of polynomials have interesting applications, such as in fractal theory.

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License
CC BY-SA 4.0 Unported