Introduces shuffles generated by sums of Jucys-Murphy elements, determines their eigenvalues, and proves total variation cutoff for the k-star transpositions shuffle at (2n-(k+1))/(2(n-1)) n log n.
Generating a random permutation with random transpositions
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Shuffling via sums of Jucys--Murphy Elements
Introduces shuffles generated by sums of Jucys-Murphy elements, determines their eigenvalues, and proves total variation cutoff for the k-star transpositions shuffle at (2n-(k+1))/(2(n-1)) n log n.