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TZID:Europe/Paris
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BEGIN:VEVENT
UID:7463@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171031T110000
DTEND;TZID=Europe/Paris:20171031T120000
DTSTAMP:20241120T204337Z
URL:https://www.i2m.univ-amu.fr/evenements/potentials-energies-and-hausdor
 ff-dimension/
SUMMARY:Tomas Persson (Lund University\, Sweden): Potentials\, energies and
  Hausdorff dimension
DESCRIPTION:Tomas Persson: There is a classical connection between Riesz-po
 tentials\, Riesz-energies and Hausdorff dimension. Otto Frostman (Lund) pr
 oved in his thesis that if E is a set and μ is a measure with support in 
 E\, then the Hausdorff dimension of E is at least s if the s-dimensional R
 iesz-energy of μ is finite.\n\nI will first talk about Frostman's result 
 and some of its applications. I will then mention some new methods were Ha
 usdorff dimension is calculated using potentials and energies with inhomog
 eneous kernels. Some applications are in stochastic geometry and dynamical
  systems.\n\nhttps://arxiv.org/abs/1711.04468\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Tomas_Persson.jpg
CATEGORIES:Séminaire,Ernest
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TZID:Europe/Paris
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DTSTART:20171029T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
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