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
Senior Editor:
Carla Cederbaum
Junior Editor:
Johannes Niediek, David Edward Bruschi

Licence

DOI

10.14760/SNAP-2017-002-EN

Télécharger PDF

PDF

snapshots: overview

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
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques

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