M\"obius disjointness for analytic skew products
Zhiren Wang
TL;DR
This paper proves that the Möbius function exhibits disjointness from a class of analytic skew product systems on the two-torus, extending understanding of Möbius disjointness in dynamical systems.
Contribution
It establishes Möbius disjointness for analytic skew products on the two-torus over circle rotations, a new class of systems.
Findings
Möbius function is disjoint from these systems
Extends previous disjointness results to analytic skew products
Provides new insights into Möbius disjointness in dynamical systems
Abstract
We show that the M\"obius function is disjoint to every analytic skew product dynamical system on the two-torus over a rotation of the circle.
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Taxonomy
TopicsAnalytic Number Theory Research · Mathematics and Applications · Mathematical Dynamics and Fractals