The last treatise on the theory of determinants, by T. Muir, revised and enlarged by WH
Metzler, was published by Dover Publications Inc. in 1960. It is an unabridged and corrected …

In a previous article [22], we derived the alternating-sign matrix (ASM) theorem from the
Izergin-Korepin determinant [12],[19],[13] for a partition function for square ice with domain …

Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic
particles evolving in imaginary-time from a domain-wall initial state is solved. The main …

We address the question of the dependence of the bulk free energy on boundary conditions
for the six-vertex model. Here we compare the bulk free energy for periodic and domain wall …

The partition function of the six-vertex model on a square lattice with domain wall boundary
conditions (DWBC) is rewritten as a Hermitian one-matrix model or a discretized version of it …

We consider a class of quantum quenches in the spin-1/2 XXZ chain, where the initial state
is of a simple product form. Specific examples are the Néel state, the dimer state and the q …

We study the return probability and its imaginary (τ) time continuation after a quench from a
domain wall initial state in the XXZ spin chain, focusing mainly on the region with anisotropy …

arXiv:solv-int/9804010v1 10 Apr 1998 Page 1 arXiv:solv-int/9804010v1 10 Apr 1998 UT-Komaba
98-5 Feburary 1998 Determinant formula for the six-vertex model with reflecting end Osamu …

In this text we introduce and analyze families of symmetric functions arising as partition
functions for colored fermionic vertex models associated with the quantized affine Lie …

The problem of the form of the 'arctic'curve of the six-vertex model with domain wall
boundary conditions in its disordered regime is addressed. It is well-known that in the …