Igor Pak
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Registered User
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May 4 |
accepted | Generating Random Young Tableaux: A peculiar probability identity |
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Apr 26 |
comment |
Generating Random Young Tableaux: A peculiar probability identity Well, there are several more constructions coming from different combinatorial proofs of HLF, but really GNW and NPS algorithms are really the only constructions people tend to use. One example I like is to use RSK to get a random rpp, and then project onto a "random" syt, as in math.ucla.edu/~pak/papers/hl7.pdf You would have to be careful about equalities in the rpp if you want truly uniform distribution (use rejection sampling or something like that). See eg igm.univ-mlv.fr/~pivoteau/gascom06.pdf for a related work. Eplaining others would take more space than allowed here. |
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Apr 25 |
answered | Generating Random Young Tableaux: A peculiar probability identity |
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Apr 24 |
awarded | ● Enlightened |
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Apr 24 |
awarded | ● Nice Answer |
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Apr 14 |
revised |
Who discovered the asymptotic formula for the number of partitions of n into distinct parts? update |
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Apr 13 |
comment |
Would Euler’s proofs get published in a modern math Journal, especially considering his treatment of the Infinite? @katz: There is a bit of misunderstanding. I actually read Euler's "infinite product" portion of "Introductio in analysin infinitorum". His starting point was divisibility of (a^n-b^n) by (a-b). He then substituted exponentials in place of a and b, and the rest by analogy. While it is indeed possible to justify that, Euler didn't think one needs this, which makes his potential paper submissions unacceptable in a modern research publication. That's all I was saying. |
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Mar 31 |
comment |
On mentioning recommenders' names in cover letter for postdoctoral applications @Alexander Woo - This is backwards, in my opinion. First, the research statement should have an abstract with a clear concise summary. That's the right place to put it, not in the cover letter. Second, if an applicant wants to emphasize different part of their research or teaching experience, they should produce different research and/or of teaching statements. Mathjobs allows you to have several such files stored and customize which statement goes where. Again, the cover letter is redundant. |
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Mar 31 |
answered | On mentioning recommenders' names in cover letter for postdoctoral applications |
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Mar 11 |
awarded | ● Nice Answer |
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Feb 16 |
awarded | ● Yearling |
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Feb 5 |
awarded | ● Nice Answer |
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Jan 27 |
answered | combinatorial lemma (is it well-known?) |
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Dec 30 |
comment |
Combinatorial Proof of Real Analysis Identity You really mean "direct" instead of "combinatorial". It is a popular belief that elegant formulas must have a combinatorial proof, rather unsupported by the evidence. Negative examples include mathoverflow.net/questions/34145 and mathoverflow.net/questions/16129 |
