The appearance of numbers enumerating alternating sign matrices in stationary states of certain stochastic processes onmatchings is reviewed.New conjectures concerning nest distribution functions areâ€¦ (More)

Carbon cycling in Peruvian margin sediments (11 and 12 S) was examined at 16 stations, from 74 m water depth on the middle shelf down to 1024 m, using a combination of in situ flux measurements,â€¦ (More)

We study a two-boundary extension of the Temperley-Lieb algebra which has recently arisen in statistical mechanics. This algebra lies in a quotient of the affine Hecke algebra of type C and has aâ€¦ (More)

We discuss one-dimensional stochastic processes defined through the Temperleyâ€“Lieb algebra related to the Q = 1 Potts model. For various boundary conditions, we formulate a conjecture relating theâ€¦ (More)

We study the q-deformed Knizhnik-Zamolodchikov equation in path representations of the Temperley-Lieb algebras. We consider two types of open boundary conditions, and in both cases we deriveâ€¦ (More)

We diagonalise the Hamiltonian of the Temperley-Lieb loop model with open boundaries using a coordinate Bethe Ansatz calculation. We find that in the groundstate sector of the loop Hamiltonian, butâ€¦ (More)

It was recently suggested by Blythe and Evans that a properly defined steady state normalization factor can be seen as a partition function of a fictitious statistical ensemble in which theâ€¦ (More)

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 conditions. Byâ€¦ (More)