We consider any fixed d Z >0 number of second class particles in the asymmetric simple exclusion process (ASEP), constructed via a basic coupling of two ASEPs.We give the joint distribution of the positions of the second class particles and also the probability of there being a second class particle at a given site, under the natural blocking measure for ASEP.In order to find these distributions we use results about the number of particles in half-infinite and finite site ranges of ASEP.Our investigations also lead to probabilistic proofs of well-known combinatorial identities; the Durfee rectangles identity, Euler's identity, and the q-Binomial Theorem.
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Daniel Adams
Márton Balázs
Jessica Jay
Latin American Journal of Probability and Mathematical Statistics
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Adams et al. (Thu,) studied this question.
www.synapsesocial.com/papers/69e7138bcb99343efc98cfde — DOI: https://doi.org/10.30757/alea.v23-15