printable pdf
比利时vs摩洛哥足彩 ,
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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