Seminarium KMMF "Teoria Dwoistości"

In the talk I will introduce the Mallows model of random permutations, which can be thought of as interpolating between the identity permutation and the reverse permutation on N elements. The discussion will placed in the broader context of the theory of permutation limits. Then I will describe recent work in progress (joint with Radosław Adamczak) concerning permutation-valued Markov processes whose marginals are Mallows-distributed. If time permits, other models of random permutations, such as random sorting networks and their connection to hydrodynamics, will make an appearance.