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UID:7615@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170306T140000
DTEND;TZID=Europe/Paris:20170306T150000
DTSTAMP:20241120T204427Z
URL:https://www.i2m.univ-amu.fr/evenements/a-decorated-silver-mean-tiling-
 with-mixed-spectrum/
SUMMARY:Franz Gähler (Universität Bielefeld): A decorated silver mean til
 ing with mixed spectrum
DESCRIPTION:Franz Gähler: Tilings generated by a primitive inflation give 
 rise to a natural dynamical system\, which acts by translations on their h
 ull.\nIf the inflation factor is a Pisot number\, the spectrum of this dyn
 amical system has a non-trivial pure-point part\, and the same holds true 
 for the diffraction spectrum of the individual tilings.\nThere are conject
 ures\, that under certain conditions all the spectrum is pure-point\, but 
 concrete examples with mixed spectrum in case those conditions are not sat
 isfied are in fact rare. They typically are constant-length inflation tili
 ngs\, which are equivalent a subshift.\nIn this talk\, we present a method
  to construct examples with both a pure-point and a continuous part in the
  spectrum also when the inflation factor is an irrational Pisot number. An
  example based on the well-known silver mean tiling is then analysed in so
 me detail.\nThis example is shown to have both a pure-point and a singular
  continuous spectral part.\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Franz_Gaehler.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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DTSTART:20161030T020000
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