Particles on the circle and integrability

Lecturer: Jasper Stokman

The time evolution of some very special classes of physical models can be described exactly. We discuss one of the oldest nontrivial examples of such a model, which describes interacting particles on the line. We show that it can be understood by combinatorial methods involving Yang-Baxter equations. The related model on the circle is discussed as well. This talk is based on joint work with Erdal Emsiz and Eric Opdam.

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