Showing math.COShow all
2 papers · 1 filter
math.CO2023
Strange Expectations in Affine Weyl Groups
Eric Nathan Stucky, Marko Thiel, Nathan Williams
Our main result is a generalization, to all affine Weyl groups, of P. Johnson's proof of D. Armstrong's conjecture for the expected number of boxes in a simultaneous core. This ext…
math.CO2022
Rational Noncrossing Coxeter-Catalan Combinatorics
Pavel Galashin, Thomas Lam, Minh-Tâm Quang Trinh +1
We solve two open problems in Coxeter-Catalan combinatorics. First, we introduce a family of rational noncrossing objects for any finite Coxeter group, using the combinatorics of d…