Commutative Monoid Duality

被引：1
|
作者：
Latz, Jan Niklas [1 ]
Swart, Jan M. [1 ]
机构：
[1] Czech Acad Sci, Inst Informat Theory & Automat, Pod Vodarenskou Vezi 4, Prague 18200 8, Czech Republic
来源：
JOURNAL OF THEORETICAL PROBABILITY | 2023年 / 36卷 / 02期
关键词：
Interacting particle system; Duality; Monoid; Semiring; Primary; Secondary; MONOTONE;
D O I：
10.1007/s10959-022-01197-7
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
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.
引用
收藏
页码：1088 / 1115
页数：28
相关论文
共 50 条
12345