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SUMMARY:Subhajit Ghosh (Indian Institute of Science\, Bangalore)
DTSTART:20210215T100000Z
DTEND:20210215T104500Z
DTSTAMP:20260421T174031Z
UID:BPS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BPS/22/">Tot
 al variation cutoff for the flip-transpose top with random shuffle</a>\nby
  Subhajit Ghosh (Indian Institute of Science\, Bangalore) as part of Banga
 lore Probability Seminar\n\n\nAbstract\nWe consider a random walk on the h
 yperoctahedral group $B_n$ generated by the signed permutations of the for
 m $(i\,n)$ and $(-i\,n)$ for $1\\leq i\\leq n$. We call this the \\emph{fl
 ip-transpose top with random shuffle} on $B_n$. We find the spectrum of th
 e transition probability matrix for this shuffle. We prove that this shuff
 le exhibits the total variation cutoff phenomenon with cutoff time $n\\log
  n$. We also show that a biased variant of this shuffle exhibits the total
  variation cutoff with the same cutoff time.\n
LOCATION:https://researchseminars.org/talk/BPS/22/
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