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anuragbishnoi.wordpress.com | ||
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ellipticnews.wordpress.com
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| | | | | This is a follow-up to my previous post on the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV). First I want to announce that the Selfridge Prize for the best submitted paper as judged by the program committee was awarded to Jonathan Love and Dan Boneh for their paper Supersingular Curves With Small Non-integer Endomorphisms. The prize... | |
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xenaproject.wordpress.com
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| | | | | (This is a guest post by Bhavik Mehta) On March 16, 2023, a paper by Campos, Griffiths, Morris, and Sahasrabudhe appeared on the arXiv, announcing an exponential improvement to the upper bound on Ramsey numbers, an open problem since 1935. Around the same time, posts by Terence Tao, Timothy Gowers and Gil Kalai appeared, all... | |
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rjlipton.com
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| | | | | Can they inform computational complexity theory? Bill Gasarch and Christian Elsholtz both like primes and jokes and graphs and ways of sharing baked goods. Bill is a Professor of Computer Science at the University of Maryland; Elsholtz is an Associate Professor of Mathematics at T.U. Graz in Austria. They recently independently came up with a... | |
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djalil.chafai.net
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| | | This post is mainly devoted to a probabilistic proof of a famous theorem due to Schoenberg on radial positive definite functions. Let us begin with a general notion: we say that \( {K:\mathbb{R}^d\times\mathbb{R}^d\rightarrow\mathbb{R}} \) is a positive definite kernel when \[ \forall n\geq1, \forall x_1,\ldots,x_n\in\mathbb{R}^d, \forall c\in\mathbb{C}^n, \quad\sum_{i=1}^n\sum_{j=1}^nc_iK(x_i,x_j)\bar{c}_j\geq0. \] When \( {K} \) is symmetric, i.e. \( {K(x,y)=K(y,x)} \) for... | ||
