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PRODID:-//Virginia Tech//VT Calendar//EN
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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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