Packing the largest trees in the tree packing conjecture
Janzer, B
Montgomery, R
Journal of the European Mathematical Society
(15 May 2026)
Sums of three positive cubes
Maynard, J
Journal of the London Mathematical Society
volume 113
issue 5
(05 May 2026)
Lattice models for phases and transitions with non-invertible symmetries
Bhardwaj, L
Bottini, L
Schäfer-Nameki, S
Tiwari, A
SciPost Physics
volume 20
issue 5
(13 May 2026)
The Mechanical Virtue of Random Fourier Features and Model Complexity
Cartea, Á
Shi, Y
(2025)
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.
On a Clique‐Building Game of Erdős
Malekshahian, A
Spiro, S
Journal of Graph Theory
(14 May 2026)