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DTSTAMP:20210127T200000Z
UID:1611326526832@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210127T200000Z
DTEND:20210127T205000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
Joshua Swanson, UCSD, will be speaking.\n
\n
The
presentation is titled "DUSTPAN distributions
as limit laws for Mahonian statistics on forests."\n
\n
Contact
Bruce E Sagan (bsagan@msu.edu)
for more information.\n
\n
Building on work
of Stanley and Björner-Wachs, we study the
distribution of certain Mahonian statistics on
several families of posets, including the major
index on linear extensions of forests. We
show that the resulting standardized distributions
are often asymptotically normal. However,
in certain regimes, we must introduce a
new, closed family of continuous probability
distributions called DUSTPAN distributions which
simultaneously generalize the Irwin-Hall
and normal distributions. In the case of forests,
we use graph-theoretic statistics like height
and elevation to completely determine the
precise limit laws. This leads to some natural
open questions about the distribution of
the height of such forests. Joint work with
Sara Billey (https://arxiv.org/abs/2010.12701)
building on earlier joint work with Sara Billey
and Matjaž Konvalinka (https://arxiv.org/abs/1905.00975).\n\n
Price: free\n
Sponsor: Department of Mathematics\n
Sponsor's Homepage: https://www.math.msu.edu/\n
Contact name: Department of Mathematics\n
Contact phone: (517) 353-0844\n
for more info visit the web at:\n
https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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