Limit profile for random transpositions

Lucas Teyssier

doi:10.1214/20-AOP1424

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Home > Journals > Ann. Probab. > Volume 48 > Issue 5 > Article

September 2020 Limit profile for random transpositions

Lucas Teyssier

Ann. Probab. 48(5): 2323-2343 (September 2020). DOI: 10.1214/20-AOP1424

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Abstract

We present an improved version of Diaconis–Shahshahani upper bound lemma, which is used to compute the limiting value of the distance to stationarity. We then apply it to the random transposition shuffle.