Commutative monoid duality

Jan Niklas Latz; Jan M. Swart

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arXiv · 2108.01492

Commutative monoid duality

Jan Niklas Latz·Jan M. Swart

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Abstract

We introduce two partially overlapping classes of pathwise dualities between interacting particle systems that are based on commutative monoids (semigroups with a neutral element) and semirings, respectively. For interacting particle systems whose local state space has two elements, this approach yields a unified treatment of the well-known additive and cancellative dualities. For local state spaces with three or more elements, we discover several new dualities.

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Jan Niklas Latz, Jan M. Swart. 2022-07-22. Commutative monoid duality. https://arxiv.org/abs/2108.01492

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