From d4d048e66b16a3713caec957e94e8d7e80e39368 Mon Sep 17 00:00:00 2001 From: Yuchen Pei Date: Sun, 3 Jun 2018 22:22:43 +0200 Subject: fixed mathjax conversion from md --- site/blog.html | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) (limited to 'site/blog.html') diff --git a/site/blog.html b/site/blog.html index 0d83120..3222e3a 100644 --- a/site/blog.html +++ b/site/blog.html @@ -19,6 +19,13 @@
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Automatic differentiation

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Posted on 2018-06-03

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This post is meant as a documentation of my understanding of autodiff. I benefited a lot from Toronto CSC321 slides and the autodidact project which is a pedagogical implementation of Autograd. That said, any mistakes in this note are mine (especially since some of the knowledge is obtained from interpreting slides!), and if you do spot any I would be grateful if you can let me know.

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Updates on open research

Posted on 2018-04-29

It has been 9 months since I last wrote about open (maths) research. Since then two things happened which prompted me to write an update.

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AMS review of 'Double Macdonald polynomials as the stable limit of Macdonald superpolynomials' by Blondeau-Fournier, Lapointe and Mathieu

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Posted on 2015-07-15

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A Macdonald superpolynomial (introduced in [O. Blondeau-Fournier et al., Lett. Math. Phys. 101 (2012), no. 1, 27–47; MR2935476; J. Comb. 3 (2012), no. 3, 495–561; MR3029444]) in \(N\) Grassmannian variables indexed by a superpartition \(\Lambda\) is said to be stable if \({m (m + 1) \over 2} \ge |\Lambda|\) and \(N \ge |\Lambda| - {m (m - 3) \over 2}\) , where \(m\) is the fermionic degree. A stable Macdonald superpolynomial (corresponding to a bisymmetric polynomial) is also called a double Macdonald polynomial (dMp). The main result of this paper is the factorisation of a dMp into plethysms of two classical Macdonald polynomials (Theorem 5). Based on this result, this paper

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