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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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university of california san diego
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math 196 - student colloquium
joshua swanson
uc san diego
asymptotics of mahonian statistics
abstract:
percy macmahon introduced the ``major index'' of a permutation a century ago and proved that it has the same distribution as the ``inversion number''. such statistics are now called ``mahonian''. baxter and zeilberger considered the joint distribution of inversions and the major index on permutations and showed they are jointly independently asymptotically normally distributed. however, baxter-zeilberger's argument has no hope of giving a more precise ``local limit theorem'' and zeilberger subsequently offered a \$300 reward for a different proof. this is the story of that reward.
october 16, 2020
3:00 pm
contact glenn tesler for zoom link
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