Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process

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Abstract

We find the formulas of the transition probabilities of the N-particle multi-species asymmetric simple exclusion processes (ASEP), and show that the transition probabilities are written as a determinant when the order of particles in the final state is the same as the order of particles in the initial state.

Original languageEnglish
Article number139
Pages (from-to)1-9
Number of pages9
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Volume16
DOIs
Publication statusPublished - 2020

Keywords

  • ASEP
  • Integrable probability
  • Multi-species ASEP

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology

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