Möbius disjointness for topological models of ergodic systems with discrete spectrum
arXiv:1608.08289
Abstract
We provide a criterion for a point satisfying the required disjointness condition in Sarnak's Möbius Disjointness Conjecture. As a direct application, we have that the conjecture holds for any topological model of an ergodic system with discrete spectrum.
arXiv comment15 pages, treats topological models of all ergodic systems with discrete spectra and supersedes previous version
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- On dynamics of graph maps with zero topological entropy
- Disjointness of Möbius from asymptotically periodic functions
- Oscillating sequences, Gowers norms and Sarnak's conjecture
- Sarnak's Möbius disjointness for dynamical systems with singular spectrum and dissection of Möbius flow
- A large class of dendrite maps for which Möbius disjointness property of Sarnak is fulfilled
- Möbius Disjointness for Skew Products on the Heisenberg Nilmanifold