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UID:7466@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171024T110000
DTEND;TZID=Europe/Paris:20171024T120000
DTSTAMP:20241120T204338Z
URL:https://www.i2m.univ-amu.fr/evenements/dimension-of-invariant-measures
 -for-affine-iterated-function-systems/
SUMMARY:De-Jun Feng (The Chinese University of Hong Kong): Dimension of inv
 ariant measures for affine iterated function systems
DESCRIPTION:De-Jun Feng: In this talk\, we investigate the local dimensions
  of certain fractal measures. We prove the exact dimensionality of ergodic
  invariant measures for every contractive affine iterated function systems
 . These measures are the push-forwards of the ergodic invariant measures i
 n the symbolic space under the coding map\, and include all the self-affin
 e measures. We also establish the Ledrappier-Young type dimension formula.
  Furthermore\, the result extends to average contracting affine IFSs. This
  completes several previous results. Some applications are given to the di
 mension of self-affine sets and measures.\nhttps://arxiv.org/abs/1901.0169
 1\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/De-Jun_Feng.jpg
CATEGORIES:Séminaire,Ernest
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