Second Class Particle Behaviour in Blocking ASEP
Abstract
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.
Fields of Study & Subjects
Advanced Mathematical Identities
Advanced Combinatorial Mathematics
Benford’s Law and Fraud Detection
Publication details
- Journal / source
- Latin American Journal of Probability and Mathematical Statistics
- Publisher
- Institute for Applied and Pure Mathematics (IMPA)
- Volume
- 23
- Issue
- 1
- Pages
- 367–367
- Publication date
- 1 January 2026
- Language
- EN