2 papers
math.PR2024
Mallows Product Measure
Alexey Bufetov, Kailun Chen
Q-exchangeable ergodic distributions on the infinite symmetric group were classified by Gnedin-Olshanski (2012). In this paper, we study a specific linear combination of the ergodi…
math.PR2024
Local central limit theorem for Mallows measure
Alexey Bufetov, Kailun Chen
We study the statistics of the Mallows measure on permutations in the limit pioneered by Starr (2009). Our main result is the local central limit theorem for its height function. W…