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读懂「The logarithmically averaged Chowla and Elliott」：先把定义、反例和适用范围钉死
I’ve just uploaded two related papers to the arXiv: The logarithmically …
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「Entropy and rare events」：数学直觉如何落到可检验的步骤
Let and be two random variables taking values in the same (discrete) ran…
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「275A, Notes 0: Foundations of probability theory」笔记：问题从哪来、证明卡在哪
Starting this week, I will be teaching an introductory graduate course (…
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「275A, Notes 1: Integration and expectation」笔记：问题从哪来、证明卡在哪
In Notes 0, we introduced the notion of a measure space , which includes…
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把「Sweeping a matrix rotates its graph」写成可执行的阅读路径
I recently learned about a curious operation on square matrices known as…
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「275A, Notes 2: Product measures and independence」笔记：问题从哪来、证明卡在哪
In the previous set of notes, we constructed the measure-theoretic notio…
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把「275A, Notes 3: The weak and strong law of large」写成可执行的阅读路径
One of the major activities in probability theory is studying the variou…
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读懂「A small remark on the Elliott conjecture」：先把定义、反例和适用范围钉死
The Chowla conjecture asserts, among other things, that one has the asym…
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读懂「275A, Notes 4: The central limit theorem」：先把定义、反例和适用范围钉死
Let be iid copies of an absolutely integrable real scalar random variabl…
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把「Analytic number theory program at MSRI: Jan-May」写成可执行的阅读路径
Chantal David, Andrew Granville, Emmanuel Kowalski, Phillipe Michel, Kan…