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SUMMARY:Mallows permutations and stable marriage - Alexander Holroyd
DTSTART;VALUE=DATE-TIME:20180509T110000Z
DTEND;VALUE=DATE-TIME:20180509T120000Z
UID:https://talks.ox.ac.uk/talks/id/e9ff1f21-9776-4fcf-8e15-fa35f3c5f125/
DESCRIPTION:The Mallows measure on the symmetric group S_n assigns to each
permutation a probability proportional to a parameter q to the power of t
he inversion number. It was originally introduced in 1957 in the context o
f statistical ranking theory\, and has been used in many areas including s
tatistical physics\, learning theory\, mixing times\, and finite dependenc
e. Gale-Shapley stable marriage is a cornerstone of economic theory as wel
l a mathematical gem. Introduced in 1962\, it was the subject of the 2012
Nobel prize in economics\, awarded to Roth and Shapley. I'll explain how t
he two objects are related. In particular\, the former is an example of th
e latter. Among other things this gives a simple and elegant new descripti
on of the Mallows measure on the infinite line Z\, provided one does not g
et distracted by "wild matchings"!\nSpeakers:\nAlexander Holroyd
LOCATION:Mathematical Institute (L4)\, Woodstock Road OX2 6GG
URL:https://talks.ox.ac.uk/talks/id/e9ff1f21-9776-4fcf-8e15-fa35f3c5f125/
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DESCRIPTION:Talk:Mallows permutations and stable marriage - Alexander Holr
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