Erratum to “Tableaux combinatorics for the asymmetric exclusion process and Askey–Wilson polynomials”

Abstract

Our earlier published article (vol. 159, no. 3, pp. 385–415) had a gap in the proof of Proposition 6.11. The problem was that, in order to deduce (17) from (16), the old proof used identity $2E_{j,m+1}^n$ rather than identity $2E_{j,m}^n$, as originally stated. In this erratum, we correct the error by giving a direct proof of Theorem 6.9(2) (using the numbering of the previous paper). Starting with Theorem 6.9 of our previous paper, the second half of Section 6 should be replaced by the text which follows.