A survey on the Fourier dimension

Carte non disponible

Date/heure
Date(s) - 05/06/2018
11 h 00 min - 12 h 00 min

Catégories


This talk is about various aspects of the Fourier dimension and its variants. One aspect is to relate, and contrast the Fourier dimension with the Hausdorff dimension. Moreover we will present some questions where the Fourier dimension can be successfully applied. This includes uniform distribution problems and questions from geometric measure theory like the occurrence of Salem sets. There have been several similar but different notions of the Fourier dimension subject to different applications. We will argue that these various notions are indeed different and also do not behave like a regular dimension-like quantity. We also will give an alternative more regular definition that still reflects most of the important properties that are needed for applications. At the end we will post several important open problems.
This is joint work with Fredrik Ekström.

http://lup.lub.lu.se/search/person/math-jsc

Olivier CHABROL
Posts created 14

Articles similaires

Commencez à saisir votre recherche ci-dessus et pressez Entrée pour rechercher. ESC pour annuler.

Retour en haut
Secured By miniOrange