46 citations · 191 across the 22 of their papers we have counts for
3 papers · 1 filter
Integration on complex Grassmannians, deformed monotone Hurwitz numbers, and interlacing phenomena
Xavier Coulter, Norman Do, Ellena Moskovsky
We introduce a family of polynomials, which arise in three distinct ways: in the large expansion of a matrix integral, as a weighted enumeration of factorisations of permutatio…
Counting non-crossing permutations on surfaces of any genus
Norman Do, Jian He, Daniel V. Mathews
Given a surface with boundary and some points on its boundary, a polygon diagram is a way to connect those points as vertices of non-overlapping polygons on the surface. Such polyg…
Relating ordinary and fully simple maps via monotone Hurwitz numbers
Gaëtan Borot, Séverin Charbonnier, Norman Do +1
A direct relation between the enumeration of ordinary maps and that of fully simple maps first appeared in the work of the first and last authors. The relation is via monotone Hurw…