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arXiv 1012.5217math.AP
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薛定谔

Moebius Schrodinger

Jean Bourgain

摘要:

证明了具有Moebius函数的非零倍数势的一维格点Schrodinger算子具有正的Lyapounov指数。从随机薛定谔算子的经典理论来看,这可以看作是莫比乌斯随机性定律的另一种表现。

英文摘要:

It is shown that the 1-dimensional lattice Schrodinger operator with potential given by a non-zero multiple of the Moebius function has positive Lyapounov exponent. In view of the classical theory of random Schrodinger operators, this may be seen as another manifestation of the Moebius randomness law.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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