Scalar product of the five-vertex model and complete symmetric polynomials

DOI10.1007/s10958-024-07376-7MaRDI QIDQ6634777

N. M. Bogoliubov, C. Malyshev

Publication date: 8 November 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Algebraic combinatorics (05Exx) Enumerative combinatorics (05Axx)

Cites Work

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• Calculation of norms of Bethe wave functions
• The arctic curve of the domain-wall six-vertex model
• Four-vertex model and random tilings
• Determinantal representation of the time-dependent stationary correlation function for the totally asymmetric simple exclusion model
• Arctic curve of the free-fermion six-vertex model in an L-shaped domain
• Zero range process and multi-dimensional random walks
• Limit shapes for the asymmetric five vertex model
• Integrability of limit shapes of the six vertex model
• Emptiness formation probability of the six-vertex model and the sixth Painlevé equation
• Vertex models, TASEP and Grothendieck polynomials
• Integrable models and combinatorics
• Five-vertex model with fixed boundary conditions
• Boundary correlation functions of the six-vertex model
• Phase separation in the six-vertex model with a variety of boundary conditions
• Determinant formulas for the five-vertex model
• One-point function of the four-vertex model

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