Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The random $k$ cycle walk on the symmetric group   We study the random walk on the symmetric group $S_n$ generated by the
conjugacy class of cycles of length $k$. We show that the convergence to
uniform measure of this walk has a cut-off in total variation distance after
$\frac{n}{k} log n$ steps, uniformly in $k = o(n)$ as $n \to \infty$. The
analysis follows from a new asymptotic estimation of the characters of the
symmetric group evaluated at cycles.

30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
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The categories of this paper are: nlin