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TZID:Europe/Paris
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UID:7302@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20180605T110000
DTEND;TZID=Europe/Paris:20180605T120000
DTSTAMP:20241120T203904Z
URL:https://www.i2m.univ-amu.fr/evenements/a-survey-on-the-fourier-dimensi
 on/
SUMMARY:Jörg Schmeling (Lund University\, Sweden): A survey on the Fourier
  dimension
DESCRIPTION:Jörg Schmeling: This talk is about various aspects of the Four
 ier 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. Th
 is includes uniform distribution problems and questions from geometric mea
 sure theory like the occurrence of Salem sets. There have been several sim
 ilar but different notions of the Fourier dimension subject to different a
 pplications. We will argue that these various notions are indeed different
  and also do not behave like a regular dimension-like quantity. We also wi
 ll 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.\nThis is joint work with Fredri
 k Ekström.\nhttps://arxiv.org/abs/1406.1480\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Jorg_Schmeling.jpg
CATEGORIES:Séminaire,Ernest
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TZID:Europe/Paris
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DTSTART:20180325T030000
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