On substitution automorphisms with pure singular spectrum

Boris Solomyak
University of Bar-Ilan, Israel

Date(s) : 09/09/2022   iCal
14 h 00 min - 16 h 00 min

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”.

FRUMAM, St Charles


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