16 citations · 24 across the 2 of their papers we have counts for
5 papers
Izergin-Korepin determinant reloaded
Yu. G. Stroganov
We consider the Izergin-Korepin determinant [1] together with another determinant which was invented by Kuperberg [2]. He used these determinants to prove a formula for the total n…
3-enumerated alternating sign matrices
Yu. G. Stroganov
Let be the total weight of the alternating sign matrices of order whose sole `1' of the first row is at the column and the weight of an individual matrix is…
A new way to deal with Izergin-Korepin determinant at root of unity
Yu. G. Stroganov
I consider the partition function of the inhomogeneous 6-vertex model defined on the by square lattice. This function depends on 2n spectral parameters and atta…
O(1) loop model with different boundary conditions and symmetry classes of alternating-sign matrices
A. V. Razumov, Yu. G. Stroganov
This work as an extension of our recent paper where we have found a numerical evidence for the fact that the numbers of the states of the fully packed loop (FPL) model with fixed l…
Combinatorial nature of ground state vector of O(1) loop model
A. V. Razumov, Yu. G. Stroganov
Hanging about a hypothetical connections between the ground state vector for some special spin systems and the alternating-sign matrices, we have found a numerical evidence for the…