By Darren Creutz and Ronnie Pavlov

We prove that every infinite minimal subshift with word complexity *p(q)* satisfying *\limsup p(q)/q < 3/2* is measure-theoretically isomorphic to its maximal equicontinuous factor; in particular, it has measurably discrete spectrum. Among other applications, this provides a proof of Sarnak's conjecture for all subshifts with *\limsup p(q)/q < 3/2* (which... Show more

December 7, 2023

Loading full text...

Similar articles

Loading recommendations...

x1

On minimal subshifts of linear word complexity with slope less than 3/2

Click on play to start listening