Pronko Andrei Georgievich

Publications in Math-Net.Ru

1. The five-vertex model as a discrete log-gas
   
   Zap. Nauchn. Sem. POMI, 548 (2025),  153–191
2. Quantum L-operator of the critical Ising model
   
   Zap. Nauchn. Sem. POMI, 532 (2024),  257–272
3. Polynomial structure in determinants for Izergin–Korepin partition function
   
   Zap. Nauchn. Sem. POMI, 520 (2023),  227–238
4. 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.
5. One-point function of the four-vertex model
   
   Zap. Nauchn. Sem. POMI, 509 (2021),  39–53
6. Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse
   
   Zap. Nauchn. Sem. POMI, 494 (2020),  168–218
7. Quantum Hamiltonians generated by the $\mathrm{R}$-matrix of the five-vertex model
   
   Zap. Nauchn. Sem. POMI, 494 (2020),  103–124
8. Boundary polarization of the rational six-vertex model on a semi-infinite lattice
   
   Zap. Nauchn. Sem. POMI, 487 (2019),  167–186
9. Off-shell Bethe states and the six-vertex model
   
   Zap. Nauchn. Sem. POMI, 473 (2018),  228–243
10. Some explicit results for the generalized emptiness formation probability of the six-vertex model
    
    Zap. Nauchn. Sem. POMI, 465 (2017),  157–173
11. The five-vertex model and enumerations of plane partitions
    
    Zap. Nauchn. Sem. POMI, 433 (2015),  204–223
12. An approach for calculating correlation functions in the six-vertex model with domain wall boundary conditions
    
    TMF, 171:2 (2012),  254–270
13. Multiple-grain dissipative sandpiles
    
    Zap. Nauchn. Sem. POMI, 403 (2012),  5–18
14. 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
15. Weighted enumerations of boxed plane partitions and inhomogeneous five-vertex model
    
    Zap. Nauchn. Sem. POMI, 398 (2012),  125–144
16. The five-vertex model and boxed plane partitions
    
    Zap. Nauchn. Sem. POMI, 360 (2008),  162–179
17. Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet
    
    TMF, 131:2 (2002),  288–303
18. Time-dependent temperature correlators of local spins of the one-dimensional Heisenberg $XY$ chain
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  219–261
19. 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
20. Temperature correlators of the $XXZ$ Heizenberg magnet at $\Delta=-\infty$
    
    Zap. Nauchn. Sem. POMI, 269 (2000),  43–61
21. The Probabilities of Survival and Hopping of States in the Phase Model on a Finite Lattice
    
    Trudy Mat. Inst. Steklova, 226 (1999),  36–48
22. Correlators of the ladder spin model in the strong coupling limit
    
    Zap. Nauchn. Sem. POMI, 251 (1998),  7–21
23. Correlators of densities in the one-dimensional Hubbard model
    
    Zap. Nauchn. Sem. POMI, 249 (1997),  7–19
24. Chiral and conformal anomalies of a quark path integral with diquark currents
    
    TMF, 101:2 (1994),  211–224