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Collision probabilities in the rarefaction fan of asymmetric exclusion processes

We consider the one-dimensional asymmetric simple exclusion process (asep) in which particles jump to the right at rate p 2 (1/2, 1] and to the left at rate 1 − p, interacting by exclusion. In the initial state there is a finite region such that to the left of this region all sites are occuppied and to the right of it all sites are empty. Under this initial state, the hydrodynamical limit of the process converg...