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Set-theoretical reflection equation: Classification of reflection maps
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Set-theoretical reflection equation: Classification of reflection maps
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The set-theoretical reflection equation and its solutions, the reflection maps, recently introduced by two of the authors, is presented in general and then applied in the context of quadrirational Yang-Baxter maps. We provide a method for constructing reflection maps and we obtain a classification of solutions associated to all the families of quadrirational Yang-Baxter maps that have been classified recently.
Forward citations
Cited by 2 Pith papers
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Integrable multi-species SSEP with reactive particle species
A new integrable family of exclusion processes, the (p,q)-SSEP, adds reactive particle pairs that transform or evaporate/condensate, with exact stationary densities and currents for one class of open boundaries.
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Twisted symmetric exclusion processes and set-theoretical $R$-matrices
Lyubashenko solutions of the Yang-Baxter equation produce Markov processes equivalent to a twisted SSEP, whose stationary sectors are labeled exactly by a species profile and a total charge.
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