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UID:7755@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160913T110000
DTEND;TZID=Europe/Paris:20160913T120000
DTSTAMP:20241120T204821Z
URL:https://www.i2m.univ-amu.fr/evenements/dynamics-on-the-graph-of-the-to
 rus-parametrisation-of-model-sets/
SUMMARY:Gerhard Keller (Friedrich-Alexander-Universität\, Erlangen\, Germa
 ny): Dynamics on the graph of the torus parametrisation of model sets
DESCRIPTION:Gerhard Keller: Model sets are projections of certain lattice s
 ubsets. It was realized by Moody that dynamical properties of such sets ar
 e induced from the torus associated with the lattice. We follow and extend
  this approach by studying dynamics on the graph of the map which associat
 es lattice subsets to points of the torus and then transferring the result
 s to their projections. This not only leads to transparent proofs of known
  results on model sets\, but we also obtain new results on so called weak 
 model sets. In particular we prove pure point dynamical spectrum for the h
 ull of a weak model set together with the push forward of the torus Haar m
 easure under the torus parametrisation map\, and we derive a formula for t
 he pattern frequencies of configurations with maximal density.\nhttps://ar
 xiv.org/abs/1511.06137\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Gerhard_Keller.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20160327T030000
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