A reverse duality for the ASEP with open boundaries

Abstract We prove a duality between the asymmetric simple exclusion process (ASEP) with non-conservative open boundary conditions and an particle-dependent hopping rates conservative reflecting boundaries. This is reverse in sense that function relates measures of dual processes rather than expectations. Specifically, for certain parameter manifold parameters ASEP this expresses time evolution family shock product N microscopic shocks terms particles process. The also elucidates some so far poorly understood properties stationary matrix given by finite-dimensional matrices.