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SUMMARY:Robert Hough (SUNY at Stony Brook)
DTSTART:20200601T130000Z
DTEND:20200601T132500Z
DTSTAMP:20260423T011219Z
UID:CANT2020/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/1/"
 >The 15 puzzle problem</a>\nby Robert Hough (SUNY at Stony Brook) as part 
 of Combinatorial and additive number theory (CANT 2021)\n\n\nAbstract\nAn 
 $n^2-1$ puzzle is a children's toy with $n^2-1$ numbered pieces on an $n \
 \times n$ grid\, \nwith one missing piece.  A move in the puzzle consists 
 of sliding an adjacent numbered piece \ninto the location of the missing p
 iece.  I will discuss joint work with Yang Chu which studies \nthe asympto
 tic mixing of an $n^2-1$ puzzle when random moves are made.  \nThe techniq
 ues involve characteristic function methods for studying the renewal proce
 ss \ndescribed by the sequence of moves of one or several pieces.\n
LOCATION:https://researchseminars.org/talk/CANT2020/1/
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