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SUMMARY:Paulina Cecchi Bernales (Universidad de Chile)
DTSTART:20220419T123000Z
DTEND:20220419T133000Z
DTSTAMP:20260423T021444Z
UID:OWNS/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/83/">Co
 boundaries and eigenvalues of finitary S-adic systems</a>\nby Paulina Cecc
 hi Bernales (Universidad de Chile) as part of One World Numeration seminar
 \n\n\nAbstract\nAn S-adic system is a shift space obtained by performing a
 n infinite composition of morphisms defined over possibly different finite
  alphabets. It is said to be finitary if these morphisms are taken from a 
 finite set. S-adic systems are a generalization of substitution shifts. In
  this talk we will discuss spectral properties of finitary S-adic systems.
  Our departure point will be a theorem by B. Host which characterizes eige
 nvalues of substitution shifts\, and where coboundaries appear as a key to
 ol. We will introduce the notion of S-adic coboundaries and present some r
 esults which show how they are related with eigenvalues of S-adic systems.
  We will also present some applications of our results to constant-length 
 finitary S-adic systems. \n\nThis is joint work with Valérie Berthé and 
 Reem Yassawi.\n
LOCATION:https://researchseminars.org/talk/OWNS/83/
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