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- W4226325494 abstract "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." @default.
- W4226325494 created "2022-05-05" @default.
- W4226325494 creator A5002782562 @default.
- W4226325494 date "2021-11-05" @default.
- W4226325494 modified "2023-09-23" @default.
- W4226325494 title "The Limit Profile of Star Transpositions" @default.
- W4226325494 doi "https://doi.org/10.48550/arxiv.2111.03622" @default.
- W4226325494 hasPublicationYear "2021" @default.
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