Comments on: The Gaussian Correlation Inequality
https://almostsure.wordpress.com/2017/05/22/the-gaussian-correlation-inequality/
A random mathematical blogMon, 31 Jul 2017 11:14:44 +0000
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By: NG
https://almostsure.wordpress.com/2017/05/22/the-gaussian-correlation-inequality/#comment-6700
Mon, 31 Jul 2017 11:14:44 +0000http://almostsure.wordpress.com/?p=2005#comment-6700Are there any interesting open problems remaining in this general area?
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By: George Lowther
https://almostsure.wordpress.com/2017/05/22/the-gaussian-correlation-inequality/#comment-6673
Mon, 24 Jul 2017 23:31:18 +0000http://almostsure.wordpress.com/?p=2005#comment-6673Thanks. Giving the new paper a first look through, it seems that he has further extended his inequalities. Although the proof of Theorem 1 stated there is only half a page, I think this would be rather difficult to follow in isolation, and is rather longer when you add the required lemmas and explanations.
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By: Kunal Dutta
https://almostsure.wordpress.com/2017/05/22/the-gaussian-correlation-inequality/#comment-6671
Mon, 24 Jul 2017 07:03:44 +0000http://almostsure.wordpress.com/?p=2005#comment-6671Thanks for this very nice blog post. Royen has subsequently simplified his proof even further, see: https://arxiv.org/abs/1507.00528 . He now looks at the Laplace transform of the cdf rather than the pdf, reducing the proof to half a page!
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