|
|
|
Publications in Math-Net.Ru |
Citations |
|
2023 |
| 1. |
A. G. Pronko, V. O. Tarasov, “Polynomial structure in determinants for Izergin–Korepin partition function”, Zap. Nauchn. Sem. POMI, 520 (2023), 227–238  |
|
2021 |
| 2. |
Mikhail D. Minin, Andrei G. Pronko, “Boundary One-Point Function of the Rational Six-Vertex Model with Partial Domain Wall Boundary Conditions: Explicit Formulas and Scaling Properties”, SIGMA, 17 (2021), 111, 29 pp.   |
1
|
| 3. |
N. M. Bogolyubov, A. G. Pronko, “One-point function of the four-vertex model”, Zap. Nauchn. Sem. POMI, 509 (2021), 39–53 |
2
|
|
2020 |
| 4. |
V. S. Kapitonov, A. G. Pronko, “Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse”, Zap. Nauchn. Sem. POMI, 494 (2020), 168–218 |
4
|
| 5. |
I. N. Burenev, A. G. Pronko, “Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model”, Zap. Nauchn. Sem. POMI, 494 (2020), 103–124 |
1
|
|
2019 |
| 6. |
M. D. Minin, A. G. Pronko, “Boundary polarization of the rational six-vertex model on a semi-infinite lattice”, Zap. Nauchn. Sem. POMI, 487 (2019), 167–186 |
|
2018 |
| 7. |
A. G. Pronko, G. P. Pronko, “Off-shell Bethe states and the six-vertex model”, Zap. Nauchn. Sem. POMI, 473 (2018), 228–243 ; J. Math. Sci. (N. Y.), 242:5 (2019), 742–752 |
8
|
|
2017 |
| 8. |
A. V. Kitaev, A. G. Pronko, “Some explicit results for the generalized emptiness formation probability of the six-vertex model”, Zap. Nauchn. Sem. POMI, 465 (2017), 157–173 ; J. Math. Sci. (N. Y.), 238:6 (2019), 870–882 |
|
2015 |
| 9. |
A. G. Pronko, “The five-vertex model and enumerations of plane partitions”, Zap. Nauchn. Sem. POMI, 433 (2015), 204–223  ; J. Math. Sci. (N. Y.), 213:5 (2016), 756–768 |
8
|
|
2012 |
| 10. |
F. Colomo, A. G. Pronko, “An approach for calculating correlation functions in the six-vertex model with domain wall boundary conditions”, TMF, 171:2 (2012), 254–270  ; Theoret. and Math. Phys., 171:2 (2012), 641–654 |
15
|
| 11. |
N. M. Bogoliubov, A. G. Pronko, J. Timonen, “Multiple-grain dissipative sandpiles”, Zap. Nauchn. Sem. POMI, 403 (2012), 5–18 ; J. Math. Sci. (N. Y.), 190:3 (2013), 411–418 |
3
|
| 12. |
A. G. Pronko, “On the emptiness formation probability in the free-fermion six-vertex model with domain wall boundary conditions”, Zap. Nauchn. Sem. POMI, 398 (2012), 179–208 ; J. Math. Sci. (N. Y.), 192:1 (2013), 101–116 |
6
|
| 13. |
V. S. Kapitonov, A. G. Pronko, “Weighted enumerations of boxed plane partitions and inhomogeneous five-vertex model”, Zap. Nauchn. Sem. POMI, 398 (2012), 125–144 ; J. Math. Sci. (N. Y.), 192:1 (2013), 70–80 |
7
|
|
2008 |
| 14. |
V. S. Kapitonov, A. G. Pronko, “The five-vertex model and boxed plane partitions”, Zap. Nauchn. Sem. POMI, 360 (2008), 162–179  ; J. Math. Sci. (N. Y.), 158:6 (2009), 858–867 |
8
|
|
2002 |
| 15. |
N. I. Abarenkova, A. G. Pronko, “Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet”, TMF, 131:2 (2002), 288–303 ; Theoret. and Math. Phys., 131:2 (2002), 690–703 |
13
|
|
2000 |
| 16. |
V. S. Kapitonov, A. G. Pronko, “Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain”, Zap. Nauchn. Sem. POMI, 269 (2000), 219–261 ; J. Math. Sci. (N. Y.), 115:1 (2003), 2009–2032 |
11
|
| 17. |
M. B. Zvonarev, A. G. Izergin, A. G. Pronko, “The long-distance asymptotic for the correlation function of the third spin components in the XX0 model with the interaction of four neighboring sites”, Zap. Nauchn. Sem. POMI, 269 (2000), 207–218 ; J. Math. Sci. (N. Y.), 115:1 (2003), 2002–2008 |
4
|
| 18. |
N. I. Abarenkova, A. G. Pronko, “Temperature correlators of the $XXZ$ Heizenberg magnet at $\Delta=-\infty$”, Zap. Nauchn. Sem. POMI, 269 (2000), 43–61 ; J. Math. Sci. (N. Y.), 115:1 (2003), 1910–1920 |
2
|
|
1999 |
| 19. |
N. M. Bogolyubov, A. G. Izergin, A. L. Kitanin, A. G. Pronko, “The Probabilities of Survival and Hopping of States in the Phase Model on a Finite Lattice”, Trudy Mat. Inst. Steklova, 226 (1999), 36–48 ; Proc. Steklov Inst. Math., 226 (1999), 29–41 |
1
|
|
1998 |
| 20. |
N. I. Abarenkova, A. G. Izergin, A. G. Pronko, “Correlators of the ladder spin model in the strong coupling limit”, Zap. Nauchn. Sem. POMI, 251 (1998), 7–21 ; J. Math. Sci. (New York), 104:3 (2001), 1087–1096 |
3
|
|
1997 |
| 21. |
N. I. Abarenkova, A. G. Izergin, A. G. Pronko, “Correlators of densities in the one-dimensional Hubbard model”, Zap. Nauchn. Sem. POMI, 249 (1997), 7–19 ; J. Math. Sci. (New York), 101:5 (2000), 3377–3384 |
5
|
|
1994 |
| 22. |
D. V. Vassilevich, Yu. V. Novozhilov, A. G. Pronko, “Chiral and conformal anomalies of a quark path integral with diquark currents”, TMF, 101:2 (1994), 211–224 ; Theoret. and Math. Phys., 101:2 (1994), 1303–1312 |
3
|
|
| Organisations |
|
| |
|
|
Contact us: