On substitution automorphisms with pure singular spectrum
Boris Solomyak
University of Bar-Ilan, Israel
https://u.math.biu.ac.il/~solomyb/personal.html
Date(s) : 09/09/2022 iCal
14h00 - 16h00
Let $\zeta$ be a primitive aperiodic substitution on $d$ symbols. We consider the corresponding automorphism ($Z$-action), which is known to be uniquely ergodic, and investigate its spectral properties.
After surveying known results, I will discuss recent joint work with A. I. Bufetov, where we obtain a new sufficient condition for pure singular spectrum, using a construction of « spectral cocycle ».
Emplacement
St Charles - FRUMAM
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