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تسجيل مستخدم جديدTotal variation cutoff for the transpose top-$2$ with random shuffle
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تأليف
Subhajit Ghosh
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In this paper, we investigate the properties of a random walk on the alternating group $A_n$ generated by $3$-cycles of the form $(i,n-1,n)$ and $(i,n,n-1)$. We call this the transpose top-$2$ with random shuffle. We find the spectrum of the transition matrix of this shuffle. We show that the mixing time is of order $left(n-frac{3}{2}right)log n$ and prove that there is a total variation cutoff for this shuffle.
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