Some Applications of Probability to Additive Number Theory and Harmonic Analysis

Some Applications of Probability to Additive Number Theory and Harmonic Analysis
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概率在加法数论和调和分析中的一些应用

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发表时间:
1996
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通讯作者:
M. N. Kolountzakis
M. N. Kolountzakis
中科院分区:
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文献类型:
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作者:
M. N. Kolountzakis

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我们介绍了概率方法在加法数论和调和分析中的一些应用。我们描述了三种一般的方法来构建某些对象的概率结构。文中还讨论了能否真正“构造”它们的问题,并给出了几个“去随机化”概率证明的例子。
We present some applications of the probabilistic method in additive number theory and harmonic analysis. We describe three general approaches to the probablistic construction of certain objects. The question of whether one can actually “construct” these is also discussed and several examples of “derandomized” probabilistic proofs are given.