Zobrazeno 1 - 10
of 8 926
pro vyhledávání: '"Pronko"'
Autor:
Colomo, Filippo, Pronko, Andrei G.
We consider the six-vertex model at its free-fermion point with domain wall boundary conditions, which is equivalent to random domino tilings of the Aztec diamond. We compute the scaling limit of a particular non-local correlation function, essential
Externí odkaz:
http://arxiv.org/abs/2407.07849
Autor:
Colomo, Filippo, Pronko, Andrei G.
Publikováno v:
Nucl. Phys. B 1004 (2024), 116565 (21 pp)
We study the emptiness formation probability (EFP) in the six-vertex model with domain wall boundary conditions. We present a conjecture according to which at the ice point, i.e., when all the Boltzmann weights are equal, the known multiple integral
Externí odkaz:
http://arxiv.org/abs/2405.04358
Publikováno v:
Asian Theatre Journal. Fall2011, Vol. 28 Issue 2, p375-391. 17p. 7 Black and White Photographs.
Autor:
Sorgenfrei, Carol Fisher
Publikováno v:
Asian Theatre Journal. Spring2021, Vol. 38 Issue 1, pN.PAG-N.PAG. 1p.
Autor:
Sorgenfrei, Carol Fisher
Publikováno v:
Asian Theatre Journal, 2011 Oct 01. 28(2), 375-391.
Externí odkaz:
https://www.jstor.org/stable/41306500
Akademický článek
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Autor:
Burenev, Ivan N., Pronko, Andrei G.
Publikováno v:
Commun. Math. Phys. 405 (2024), 148 (56 pp)
We consider the homogeneous five-vertex model on a rectangle domain of the square lattice with so-called scalar-product boundary conditions. Peculiarity of these boundary conditions is that the configurations of the model are in an one-to-one corresp
Externí odkaz:
http://arxiv.org/abs/2312.17565
Publikováno v:
J. Phys. A: Math. Theor. 56 (2023), 465202
We consider the four-vertex model with a special choice of fixed boundary conditions giving rise to limit shape phenomena. More generally, the considered boundary conditions relate vertex models to scalar products of off-shell Bethe states, boxed pla
Externí odkaz:
http://arxiv.org/abs/2307.03076
Publikováno v:
J. Phys. A: Math. Theor. 56 (2023), 295204 (18pp)
We consider the problem of construction of determinant formulas for the partition function of the six-vertex model with domain wall boundary conditions. In pioneering works of Korepin and Izergin a determinant formula was proposed and proved using a
Externí odkaz:
http://arxiv.org/abs/2304.01824