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SUMMARY:Dynamical systems arising from random substitutions and quadra
 tic number field
UID:05d71a3a-a286-4594-a712-4f4f154563bf
DESCRIPTION:Title: Dynamical systems arising from random substitutions
  and quadratic number field In the first part of the talk\, we conside
 r higher-dimensional random substitutions over a finite set of prototi
 les\, where each prototile is mapped to a finite set of possible confi
 gurations over the same set of prototiles. We discuss some dynamical a
 nd spectral properties of such systems. Then\, we consider the symboli
 c dynamical system derived as the closure of power-free points in the 
 ring of integers of a biquadratic number field. Using the underlying d
 ivisibility properties of the ring\, we compute its symmetry group and
  extended symmetry group. https://www.math.fau.de/stochastik/obersemin
 ar-stochastik/
DTSTART:20250710T120000Z
DTEND:20250710T140000Z
LOCATION:01.382
DTSTAMP:20260429T100949Z
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