155 citations · 525 across the 43 of their papers we have counts for
5 papers · 1 filter
GL_n(F_q)-analogues of factorization problems in the symmetric group
Joel Brewster Lewis, Alejandro H. Morales
We consider GL_n(F_q)-analogues of certain factorization problems in the symmetric group S_n: rather than counting factorizations of the long cycle (1, 2, ..., n) given the number…
Hook formulas for skew shapes I. -analogues and bijections
Alejandro Morales, Igor Pak, Greta Panova
The celebrated hook-length formula gives a product formula for the number of standard Young tableaux of a straight shape. In 2014, Naruse announced a more general formula for the n…
On flow polytopes, order polytopes, and certain faces of the alternating sign matrix polytope
Karola Mészáros, Alejandro H. Morales, Jessica Striker
In this paper we study an alternating sign matrix analogue of the Chan-Robbins-Yuen polytope, which we call the ASM-CRY polytope. We show that this polytope has Catalan many vertic…
How to (Path-) Integrate by Differentiating
Achim Kempf, David M. Jackson, Alejandro H. Morales
Recently, it was found that a new set of simple techniques allow one to conveniently express ordinary integrals through differentiation. These techniques add to the general toolbox…
Some probabilistic trees with algebraic roots
Olivier Bernardi, Alejandro H. Morales
In this article we consider several probabilistic processes defining random grapha. One of these processes appeared recently in connection with a factorization problem in the symme…