101 citations · 416 across the 27 of their papers we have counts for
27 papers
Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions
C. Malyshev, N. M. Bogoliubov
Relations between the mean values of distributions of flipped spins on periodic Heisenberg XX chain and some aspects of enumerative combinatorics are discussed. The Bethe vectors,…
How to Draw a Correlation Function
Nikolay Bogoliubov, Cyril Malyshev
We discuss connection between the XX0 Heisenberg spin chain and some aspects of enumerative combinatorics. The representation of the Bethe wave functions via the Schur functions al…
The partition function of the four-vertex model in inhomogeneous external field and trace statistics
Nikolay Bogoliubov, Cyril Malyshev
The exactly solvable four-vertex model with the fixed boundary conditions in the presence of inhomogeneous linearly growing external field is considered. The partition function of…
Heisenberg XX chain, non-homogeneously parameterised generating exponential, and diagonally restricted plane partitions
C. Malyshev, N. M. Bogoliubov
The mean values of non-homogeneously parameterized generating exponential are obtained and investigated for the periodic Heisenberg XX model. The norm-trace generating function of…
The ground state-vector of the XY Heisenberg chain and the Gauss decomposition
N. Bogoliubov, C. Malyshev
The XY Heisenberg spin 1/2 chain is considered in the fermion representation. The construction of the ground state-vector is based on the group-theoretical approach. The exact expr…
Correlation Functions as Nests of Self-Avoiding Paths
Nikolay M. Bogoliubov, Cyril Malyshev
We discuss connection between the XXZ Heisenberg spin chain in the limiting case of zero anisotropy and some aspects of enumerative combinatorics. The representation of the Bethe w…