14 citations · 37 across the 19 of their papers we have counts for
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The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials
Tiago Fonseca, Ferenc Balogh
The determinantal form of the partition function of the 6-vertex model with domain wall boundary conditions was given by Izergin. It is known that for a special value of the crossi…
On some polynomials enumerating Fully Packed Loops configurations, evaluation at negative values
Tiago Fonseca
In this article, we are interested in the enumeration of Fully Packed Loops configurations on a grid with a given noncrossing matching. These quantities also appear as the groundst…
On some polynomials enumerating Fully Packed Loop configurations
Tiago Fonseca, Philippe Nadeau
We are interested in the enumeration of Fully Packed Loop configurations on a grid with a given noncrossing matching. By the recently proved Razumov--Stroganov conjecture, these qu…
On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions
T. Fonseca, P. Zinn-Justin
We prove the equality of doubly refined enumerations of Alternating Sign Matrices and of Totally Symmetric Self-Complementary Plane Partitions using integral formulae originating f…