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Asymmetric simple exclusion process with open boundaries and Askeyā€“Wilson polynomials
We study the one-dimensional asymmetric simple exclusion process (ASEP) with open boundary conditions. Particles are injected and ejected at both boundaries. It is clarified that the steady state of the model is intimately related to the Askeyā€“Wilson polynomials. The partition function and the n-point functions are obtained in the integral ā€¦