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math.CO2021★ 6 cited
Hurwitz numbers for reflection groups I: Generatingfunctionology
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
The classical Hurwitz numbers count the fixed-length transitive transposition factorizations of a permutation, with a remarkable product formula for the case of minimum length (gen…
math.CO2021★ 10 cited
Counting chains in the noncrossing partition lattice via the W-Laplacian
Guillaume Chapuy, Theo Douvropoulos
We give an elementary, case-free, Coxeter-theoretic derivation of the formula for the number of maximal chains in the noncrossing partition lattice of a real re…