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「The Peter-Weyl theorem, and non-abelian Fourier」：数学直觉如何落到可检验的步骤
Let be a compact group. (Throughout this post, all topological groups ar…
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读懂「An introduction to measure theory」：先把定义、反例和适用范围钉死
As I have done in the last three years, I am spending some time at the b…
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把「The Wigner-Dyson-Mehta bulk universality conject」写成可执行的阅读路径
Van Vu and I have just uploaded to the arXiv our paper “The Wigner-Dyson…
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「The Szemeredi-Trotter theorem via the polynomial」笔记：问题从哪来、证明卡在哪
The ham sandwich theorem asserts that, given bounded open sets in , ther…
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「Lines in the Euclidean group SE(2)」笔记：问题从哪来、证明卡在哪
In a previous blog post, I discussed the recent result of Guth and Katz …
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「Rohlin’s problem on strongly mixing systems」笔记：问题从哪来、证明卡在哪
Let be an abelian countable discrete group. A measure-preserving -system…
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「Exceptional isogenies between the classical Lie」：数学直觉如何落到可检验的步骤
For sake of concreteness we will work here over the complex numbers , al…
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「Hamidoune’s Freiman-Kneser theorem for nonabelia」笔记：问题从哪来、证明卡在哪
A few days ago, I received the sad news that Yahya Ould Hamidoune had re…
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「The shallow water wave equation and tsunami prop」：数学直觉如何落到可检验的步骤
As we are all now very much aware, tsunamis are water waves that start i…
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「Random matrices: Universality of eigenvectors」笔记：问题从哪来、证明卡在哪
Van Vu and I have just uploaded to the arXiv our paper “Random matrices:…