Timeline for Statistics of irreps of S_n that can be read off the Young diagram, and consequences of Kerov–Vershik
Current License: CC BY-SA 4.0
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May 20, 2022 at 13:45 | history | edited | LSpice | CC BY-SA 4.0 |
Removed title from tooltip, per @TheAmplitwist's request (https://mathoverflow.net/questions/8776/statistics-of-irreps-of-s-n-that-can-be-read-off-the-young-diagram-and-conseque/8778#comment1086942_8778)
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May 20, 2022 at 13:41 | history | edited | LSpice | CC BY-SA 4.0 |
While this is on the front page, name of article for one article; name of author for another
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S May 20, 2022 at 13:22 | history | suggested | The Amplitwist | CC BY-SA 4.0 |
fixed broken link to springerlink.com
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May 20, 2022 at 12:16 | review | Suggested edits | |||
S May 20, 2022 at 13:22 | |||||
Dec 13, 2009 at 19:59 | history | edited | Greg Kuperberg | CC BY-SA 2.5 |
added 769 characters in body
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Dec 13, 2009 at 19:43 | comment | added | Greg Kuperberg | I suppose that you're right; my answer is overconfident. My guess is that the boundary does and doesn't cause trouble. I would be surprised if the integral isn't the truth, but it may take more work to show that the fluctuations at the boundary are predictable enough for convergence. | |
Dec 13, 2009 at 19:38 | history | edited | Greg Kuperberg | CC BY-SA 2.5 |
Extended answer based on Fomin-Lulov paper
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Dec 13, 2009 at 19:34 | comment | added | JSE | I thought about this last night and got a bit confused, actually. You might expect that log(dim chi)/sqrt(n) would, with probability 1, lie in a smaller and smaller band around some constant C obtained by an integral, as you say. But I'm not sure this is actually the case; in a later paper, Kerov and Vershik show this quantity is very probably bounded between c_1 and c_2, so it can't be an immediate consequence of their theorem that it approaches a limit. I think maybe the stuff near the boundary with highly negative log-hooklength causes trouble? | |
Dec 13, 2009 at 18:21 | history | answered | Greg Kuperberg | CC BY-SA 2.5 |