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SUMMARY:Directed Spatial Permutations on Asymmetric Tori - Tyler Helmuth (
Durham University)
DTSTART;VALUE=DATE-TIME:20230531T110000
DTEND;VALUE=DATE-TIME:20230531T120000
UID:https://talks.ox.ac.uk/talks/id/caec6960-063a-4cac-b4cd-063a2f0d184e/
DESCRIPTION:Random permutations show up in a variety of areas in mathemati
cs and its applications. In connection with physical applications (e.g.\,
the lambda transition for superfluid helium)\, there is an interest in ran
dom spatial permutations -- that is\, laws on permutations that have a 'ge
ometric bias'. There are compelling heuristic arguments that this spatial
bias has little effect on the distribution of the largest cycles of a rand
om spatial permutation\, provided that large cycles actually exist. I'll d
iscuss a particular model of random spatial permutations (directed permuta
tions on asymmetric tori) where these heuristics can be made precise\, and
large cycles can be shown to follow the expected (Poisson-Dirichlet) law.
\n\nBased on joint work with Alan Hammond.\n\n\nSpeakers:\nTyler Helmuth (
Durham University)
LOCATION:Mathematical Institute (L4)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/caec6960-063a-4cac-b4cd-063a2f0d184e/
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DESCRIPTION:Talk:Directed Spatial Permutations on Asymmetric Tori - Tyler
Helmuth (Durham University)
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