The Mobius disjointness conjecture for distal flows
Jianya Liu, Peter Sarnak
TL;DR
This paper proves that the Mobius function is disjoint from Furstenberg's irregular system in the context of distal flows, providing a direct proof with rate, advancing understanding in number theory and dynamical systems.
Contribution
It offers a direct proof with rate showing Mobius disjointness for Furstenberg's irregular system within distal flows, building on previous results.
Findings
Mobius function is disjoint from Furstenberg's irregular system
Provides a direct proof with rate of disjointness
Advances understanding of Mobius disjointness in dynamical systems
Abstract
We summarize main results in our paper "The Mobius function and distal flows", and give a direct proof with rate of that the Mobius function is disjoint from Furstenberg's irregular system. This will be published in the Proceedings of the Sixth ICCM, held in Taipei in 2013.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAnalytic Number Theory Research · Mathematical Dynamics and Fractals · Algebraic Geometry and Number Theory