Limit profile for random transpositions

Authors
Teyssier, Lucas
Citation
Teyssier, Lucas, Limit profile for random transpositions, Annals of probability (Online) , 48(5), 2020, pp. 2323-2343
Journal title
Annals of probability (Online) → ACNP
ISSN journal
2168894X
Volume
48
Issue
5
Year of publication
2020
Pages
2323 - 2343
Database
ACNP
SICI code
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.