The M?bius Disjointness Conjecture for Distal Flows

摘要

We summarize main results in our joint paper "The M?bius function and distal flows", where we establish the M?bius Disjointness Conjecture of the second author for various distal flows. In addition we give a direct proof, with a rate, of the result that the M?bius function is disjoint from Furstenberg's irregular systems.