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Apr 13, 2017 at 12:19 history edited CommunityBot
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Nov 20, 2010 at 13:46 vote accept Qiaochu Yuan
Nov 20, 2010 at 12:52 answer added Simon Lyons timeline score: 1
Aug 2, 2010 at 4:04 comment added Kevin O'Bryant My source is also Gian-Carlo Rota (some popular lectures he gave). He also has a paper wherein this distribution arises as a profinite completion. It was a short paper (4 or 5 pages), and I think published in the 1990s.
Aug 2, 2010 at 3:23 comment added Qiaochu Yuan Do you have a reference for that? As far as I can tell, it is not hard to construct distributions not of this form which don't satisfy the third requirement. I have read a statement like this in writing by Gian-Carlo Rota, but it was "subject to certain technical requirements" which I thought I had figured out.
Aug 2, 2010 at 2:57 comment added Kevin O'Bryant This is also the unique nontrivial distribution on the positive integers that makes the events "$p$ divides $X$" and "$q$ divides $X$" independent whenever $p,q$ are distinct primes.
Aug 1, 2010 at 23:19 answer added Kevin O'Bryant timeline score: 7
Aug 1, 2010 at 21:59 history asked Qiaochu Yuan CC BY-SA 2.5