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SUMMARY:Boris Solomyak (University of Bar-Ilan)
DTSTART:20200519T123000Z
DTEND:20200519T133000Z
DTSTAMP:20260423T035750Z
UID:OWNS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/2/">On 
 singular substitution Z-actions</a>\nby Boris Solomyak (University of Bar-
 Ilan) as part of One World Numeration seminar\n\n\nAbstract\nWe consider p
 rimitive aperiodic substitutions on $d$ letters and the spectral propertie
 s of associated dynamical systems. In an earlier work we introduced a spec
 tral cocycle\, related to a kind of matrix Riesz product\, which extends t
 he (transpose) substitution matrix to the $d$-dimensional torus. The asymp
 totic properties of this cocycle provide local information on the (fractal
 ) dimension of spectral measures. In the talk I will discuss a sufficient 
 condition for the singularity of the spectrum in terms of the top Lyapunov
  exponent of this cocycle. \n\nThis is a joint work with A. Bufetov.\n
LOCATION:https://researchseminars.org/talk/OWNS/2/
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