On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms
On Möbius orthogonality for interval maps of zero entropy and orientation-preserving circle homeomorphisms
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DOI：
10.1007/s11512-014-0208-5
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发表时间：
2015-01
期刊：
影响因子：
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通讯作者：
D. Karagulyan
中科院分区：
文献类型：
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作者：
D. Karagulyan
我们将通过将这些结果简化为 1937 年著名的达文波特定理，证明 Sarnak 关于零熵连续区间映射以及保向圆同胚的莫比乌斯不相交性的猜想。
We will prove Sarnak’s conjecture on Möbius disjointness for continuous interval maps of zero entropy and also for orientation-preserving circle homeomorphisms by reducing these result to a well-known theorem of Davenport from 1937.