0572566 20240402214024.520230605235959.9 85137247923 000847248700001 10.1007/s10959-022-01197-7 28 s. P cav_un_epca*02540800894-9840362 (2023)1088-1115Springer interacting particle system duality monoid semiring cav_un_auth*0450907 Latz Jan Niklas UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI NL Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0217893 Swart Jan M. UTIA-B Stochastická informatika Department of Stochastic Informatics SI SI Department of Stochastic Informatics CZ 50 Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2023/SI/swart-0572566.pdf https://link.springer.com/article/10.1007/s10959-022-01197-7 GA20-08468S GA ČR cav_un_auth*0397552 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. WOS BA 10000 10100 10103 2024 2 RVO:67985556 https://hdl.handle.net/11104/0343226 cav_un_auth*0331329 Charles University, Faculty of Mathematics and Physics, Prague, Czech Republic CZ S Article Statistics Probability A STATISTICS&PROBABILITY 0.7 0.2 10.8 0.00232 0.546 1170 46 0.588 28.75 0.71 213 Q2 0.700 80 Q3 34.8 Q4 Q2 0.35 Q4 34.8 2023 85137247923 SCOPUS PUBMED 000847248700001 WOS cav_un_epca*0254080 Journal of Theoretical Probability 36 2 2023 1088 1115 0894-9840 1572-9230 Springer