News on quadratic polynomials

Instantanés de recherche mathématique à Oberwolfach

News on quadratic polynomials

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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Sujet mathématique

Algèbre et théorie des nombres
Analyse

Auteur(s)

Lukas Pottmeyer

Licence

DOI

10.14760/SNAP-2017-002-EN

Télécharger PDF

snapshot-2017-002.pdf

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Sujet mathématique

Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
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