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math-ph2013★ 10 cited
The transition probability and the probability for the left-most particle's position of the q-TAZRP
Marko Korhonen, Eunghyun Lee
We treat the -particle ZRP whose jumping rates satisfy a certain condition. This condition is required to use the Bethe ansatz and the resulting model is the -boson model tha…
math-ph2013★ 10 cited
Symmetric polynomials, generalized Jacobi-Trudi identities and τ-functions
J. Harnad, Eunghyun Lee
An element [Φ] of the Grassmannian of n-dimensional subspaces of the Hardy space H^2, extended over the field C(x_1,..., x_n), may be associated to any polynomial basis ϕ for C(x).…