Many complex systems of interacting particles that one encounters in nature behave on a
phenomenological level in some random fashion. Therefore the theoretical treatment of …

We derive the Bethe ansatz equations describing the complete spectrum of the transition
matrix of the partially asymmetric exclusion process with the most general open boundary …

In this paper, we review the basic concepts regarding quantum integrability. Special
emphasis is given on the algebraic content of integrable models. The associated algebras …

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 …

By using a set of gauge transformations (face-vertex correspondence relations), the XXZ
spin chain with both transverse and longitudinal magnetic boundary fields is studied. The …

We derive the Bethe ansatz equations describing the complete spectrum of the transition
matrix of the partially asymmetric exclusion process with the most general open boundary …

We solve exactly the “boundary sine-Gordon” system of a massless scalar field∅ with a cos
(1 2 β∅) potential at a boundary. This model has appeared in several contexts, including …

The transfer matrix of the XXZ open spin-½ chain with general integrable boundary
conditions and generic anisotropy parameter (q is not a root of unity and| q|= 1) is …

We use boundary weights and reflection equations to obtain families of commuting double-
row transfer matrices for interaction-round-a-face models with fixed boundary conditions. In …

We prove a duality between the asymmetric simple exclusion process (ASEP) with non-
conservative open boundary conditions and an asymmetric exclusion process with particle …