215 citations · 1k across the 30 of their papers we have counts for
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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…
Spin chains and combinatorics: twisted boundary conditions
A. V. Razumov, Yu. G. Stroganov
The finite XXZ Heisenberg spin chain with twisted boundary conditions was considered. For the case of even number of sites , anisotropy parameter -1/2 and twisting angle …
The Importance of being Odd
Yu. Stroganov
In this letter I consider mainly a finite XXZ spin chain with periodic boundary conditions and \bf{odd} \rm number of sites. This system is described by the Hamiltonian $H_{xxz}=-\…