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Jul 31, 2017 at 18:55 comment added Ryan O'Donnell Quite possible, yes, though people do often cite Baryshnikov. Olshanksi discusses it a bit briefly here -- arxiv.org/pdf/1302.7116.pdf -- and says it appears 'hidden' in Gelfand-Naimark'57. This paper of O'Connell -- arxiv.org/abs/1201.4849 -- calls it "well-known", but cites Baryshnikov.
Jul 31, 2017 at 18:41 comment added Terry Tao I can't believe I had forgotten about the HCIZ formula, since I actually blogged about it: terrytao.wordpress.com/2013/02/08/… . I'm pretty sure though that the observation that the spectra of minors of a random element of a U(n) coadjoint orbit are distributed uniformly within the GT polytope is much older than Baryshnikov, though.
Jul 31, 2017 at 18:20 history edited Ryan O'Donnell CC BY-SA 3.0
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Jul 31, 2017 at 18:10 history answered Ryan O'Donnell CC BY-SA 3.0