### Duality relations for the n-species priority asymmetric simple exclusion process

Probability Seminar

1st December 2023, 3:30 pm – 4:30 pm

Fry Building, 4th Floor Seminar Room

It is demonstrated how the quantum algebra symmetry of integrable quantum spin chains gives rise to duality relations that allow for studying the invariant measures of then-species priority asymmetric simple exclusion process on a finite lattice as well as the microscopic structure and dynamics of shock waves in the infinite system. We also comment on blocking measures and on emergent long-range interactions in the invariant measures.

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