Zobrazeno 1 - 10
of 4 204
pro vyhledávání: '"Pronko, A"'
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
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
Autor:
F. Colomo, A.G. Pronko
Publikováno v:
Nuclear Physics B, Vol 1004, Iss , Pp 116565- (2024)
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:
https://doaj.org/article/9cd23550123646a089a594c44836f5ef
Autor:
Minin, Mikhail D., Pronko, Andrei G.
Publikováno v:
SIGMA 17 (2021), 111 (29 pp.)
We consider the six-vertex model with the rational weights on an $s\times N$ square lattice, $s\leq N$, with partial domain wall boundary conditions. We study the one-point function at the boundary where the free boundary conditions are imposed. For
Externí odkaz:
http://arxiv.org/abs/2108.06190
Publikováno v:
Nucl. Phys. B 972 (2021), 115535 (42 pp)
We consider the problem of calculation of correlation functions in the six-vertex model with domain wall boundary conditions. To this aim, we formulate the model as a scalar product of off-shell Bethe states, and, by applying the quantum inverse scat
Externí odkaz:
http://arxiv.org/abs/2107.13358
Publikováno v:
Рациональная фармакотерапия в кардиологии, Vol 19, Iss 3, Pp 222-229 (2023)
Aim. Study of the association of polymorphic variants of CYP2C19 (G681A), P2RY12 (H1/H2), ITGB3 (T1565C), ITGA2 (C807T), eNOS3 (T786C) genes with high residual platelet reactivity (HRPR) to clopidogrel and acetylsalicylic acid (ASA) at different term
Externí odkaz:
https://doaj.org/article/abfa8d81f0554ebe8f8ee003fbfd2ff6
Autor:
Burenev, Ivan N., Pronko, Andrei G.
Publikováno v:
J. Phys. A: Math. Theor. 54 (2021), 055008
We consider the five-vertex model on a finite square lattice with fixed boundary conditions such that the configurations of the model are in a one-to-one correspondence with the boxed plane partitions (3D Young diagrams which fit into a box of given
Externí odkaz:
http://arxiv.org/abs/2011.01972