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One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach. (English) Zbl 0962.82020

MSC:
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
33D90 Applications of basic hypergeometric functions
33D45 Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.)
82B26 Phase transitions (general) in equilibrium statistical mechanics
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