11 citations · 15 across the 5 of their papers we have counts for
5 papers
Lattice walks confined to an octant in dimension 3: (non-)rationality of the second critical exponent
Luc Hillairet, Helen Jenne, Kilian Raschel
In the field of enumeration of walks in cones, it is known how to compute asymptotically the number of excursions (finite paths in the cone with fixed length, starting and ending p…
Double-dimer condensation and the PT-DT correspondence
Helen Jenne, Gautam Webb, Benjamin Young
We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau t…
The combinatorial PT-DT correspondence
Helen Jenne, Gautam Webb, Benjamin Young
We resolve an open conjecture from algebraic geometry, which states that two generating functions for plane partition-like objects (the "box-counting" formulae for the Calabi-Yau t…
Combinatorics of the double-dimer model
Helen Jenne
We prove that the partition function for tripartite double-dimer configurations of a planar bipartite graph satisfies a recurrence related to the Desnanot-Jacobi identity from line…
Matching complexes of trees and applications of the matching tree algorithm
Marija Jelić Milutinović, Helen Jenne, Alex McDonough +1
A matching complex of a simple graph is a simplicial complex with faces given by the matchings of . The topology of matching complexes is mysterious; there are few graphs fo…