Twisted symmetric exclusion processes and set-theoretical $R$-matrices (opens in new tab)

arXiv:2602.18204v1 Announce Type: cross Abstract: We investigate periodic integrable Markov models, constructed from set-theoretical solutions of the Yang-Baxter equation. We first focus on the simplest class of solutions, called Lyubashenko solutions. We show that the resulting models are equivalent to some twisted Symmetric Simple Exclusion Process (SSEP), which are usual periodic SSEP models where a twist is added on a bond of the ring. We also provide various possible interpretations for...