An explicit power series result for the two type ASEP
David W. Ash
TL;DR
This paper presents a new power series result for the two-species ASEP, a model inspired by statistical mechanics, extending previous combinatorial and probabilistic findings.
Contribution
It introduces an explicit power series solution for the two-type ASEP based on earlier research, advancing the mathematical understanding of this process.
Findings
Derived a new power series expression for two-type ASEP
Extended previous results by Mortimer and Prellberg
Provides tools for analyzing multi-species exclusion processes
Abstract
Research in combinatorics has often focused on the ASEP (asymmetric simple exclusion process). The ASEP is inspired by processes in statistical mechanics, and involves particles of various species moving around a lattice. The particles do not change species. In the present paper, based on earlier results of Mortimer and Prellberg and others, we obtain a new power series results for the two type ASEP.
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