On: Eigenvectors from eigenvalues

[bhl]

There's a backstory to this paper from the r/math subreddit [1]. One of the authors initially posted the question there, and stumbling upon a similar question on math overflow emailed Terry Tao. And surprisingly, he responded.

[1] https://www.reddit.com/r/math/comments/ci665j/linear_algebra...

[dmix → bhl]

Someone replied:

> Apparently this relationship was discovered in 2014 by a dutch mathematician or physician. https://arxiv.org/abs/1401.4580

https://old.reddit.com/r/math/comments/ci665j/linear_algebra...

I don't know anything about the subject, I'm curious what they mean by that.

[teilo → dmix]

Discovered, sort of. His method was nearly the same as the one brought to Tao, but he didn't make the connection to the full correlation between eigenvalues and eigenvectors when dealing with real numbers. Tao used the method to explicitly prove this correlation when it was discovered by Denton, Parke and Zhang.

[consp → dmix]

He is a professor of telecommunication networks at the Delft University of Technology. see https://www.tudelft.nl/staff/p.f.a.vanmieghem/

edit: The apperantly renamed it Network Architecture & Services since I finished my education.

[leereeves → bhl]

Not only responded, but responded in under 2 hours, which is amazing from a busy professor like Tao.

[mkl → leereeves]

Not only responded in under 2 hours, but "Tao’s reply also included three independent proofs of the identity."

From the article we discussed earlier, https://www.quantamagazine.org/neutrinos-lead-to-unexpected-... https://news.ycombinator.com/item?id=21528425

[bcaa7f3a8bbc → leereeves]

> responded in under 2 hours

and gave 3 different proofs!

[blt → leereeves]

it indicates how important this result is!

[james_s_tayler → bhl]

Wow. This is so great.

[Ceezy → bhl]

That s great, but any good bachelor students should be able to give you a similar answer.