Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Limit Profile of Star Transpositions   We prove that the limit profile of star transpositions at time $t= n \log n
+cn$ is equal to $d_{\text{T.V.}}(\text{Poiss}(1+e^{-c}), \text{Poiss}(1))$. We
prove this by developing a technique for comparing the limit profile behavior
of two reversible Markov chains on the same space, that share the same
stationary distribution and eigenbasis. We then compare the limit profile of
star transpositions to the limit profile of random transpositions, as studied
in \cite{Teyssier}, and prove that they have the same limit profile at the
respective cutoff times.

18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an