### Mallows permutations, Stable matchings and scaling limits

Probability Seminar

9th March 2018, 4:00 pm – 5:00 pm

Main Maths Building, SM4

We present a new representation of the Mallows permutations to stable matchings on a random bi-partite graph. We also derive new results for the scaling limits of the cycles in the Mallows permutations in terms of the Ethier-Kurtz diffusion.

Joint with Ander Holroyd, Tom Hutchcroft and Avi Levy.

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