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JOURNALS // Zapiski Nauchnykh Seminarov POMI

Zap. Nauchn. Sem. POMI, 2008, Volume 360, Pages 162–179 (Mi znsl2164)

The five-vertex model and boxed plane partitions
V. S. Kapitonov, A. G. Pronko

This publication is cited in the following articles:
  1. V. S. Kapitonov, A. G. Pronko, “Six-Vertex Model as a Grassmann Integral, One-Point Function, and the Arctic Ellipse”, J Math Sci, 264:3 (2022), 313  crossref
  2. I. N. Burenev, A. G. Pronko, “Quantum Hamiltonians Generated by the R-Matrix of the Five-Vertex Model”, J Math Sci, 264:3 (2022), 271  crossref
  3. Corteel S., Gitlin A., Keating D., Meza J., “A Vertex Model For Llt Polynomials”, Int. Math. Res. Notices, 2021  crossref  mathscinet  isi
  4. A.A. Nazarov, S. A. Paston, “Finite-size correction to the scaling of free energy in the dimer model on a hexagonal domain”, Theoret. and Math. Phys., 205:2 (2020), 1473–1491  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib
  5. V. S. Kapitonov, A. G. Pronko, “Six-vertex model as a Grassmann integral, one-point function, and the arctic ellipse”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 27, Zap. nauchn. sem. POMI, 494, POMI, SPb., 2020, 168–218  mathnet
  6. I. N. Burenev, A. G. Pronko, “Kvantovye gamiltoniany porozhdaemye $R$-matritsei pyativershinnoi modeli”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 27, Zap. nauchn. sem. POMI, 494, POMI, SPb., 2020, 103–124  mathnet
  7. A. G. Pronko, “The five-vertex model and enumerations of plane partitions”, J. Math. Sci. (N. Y.), 213:5 (2016), 756–768  mathnet  crossref  mathscinet
  8. V. S. Kapitonov, A. G. Pronko, “Weighted enumerations of boxed plane partitions and inhomogeneous five-vertex model”, J. Math. Sci. (N. Y.), 192:1 (2013), 70–80  mathnet  crossref  mathscinet


© Steklov Math. Inst. of RAS, 2025