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Tue, 09 Jun 2026

14:00 - 15:00
L5

Permutations with an invariant set of size k

Ben Green
((Mathematical Institute University of Oxford))
Abstract

Denote by p(k) the limit, as n tends to infinity, of the probability that a random permutation on n letters has some invariant set of size k. For example, p(1) = 1 - 1/e. I will discuss the asymptotic behaviour of p(k). Joint work with Mehtaab Sawhney.

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