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Commutative monoid duality
- 1.0572566 - ÚTIA 2024 RIV CH eng J - Journal Article
Latz, Jan Niklas - Swart, Jan M.
Commutative monoid duality.
Journal of Theoretical Probability. Roč. 36, č. 2 (2023), s. 1088-1115. ISSN 0894-9840. E-ISSN 1572-9230
R&D Projects: GA ČR GA20-08468S
Institutional support: RVO:67985556
Keywords : interacting particle system * duality * monoid * semiring
OECD category: Statistics and probability
Impact factor: 0.8, year: 2022
Method of publishing: Open access
http://library.utia.cas.cz/separaty/2023/SI/swart-0572566.pdf https://link.springer.com/article/10.1007/s10959-022-01197-7
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.
Permanent Link: https://hdl.handle.net/11104/0343226
Number of the records: 1