3 papers
math.PR2023
Monotone duality of interacting particle systems
Jan Niklas Latz, Jan M. Swart
The duality theory for monotone interacting particle systems was initiated by Gray (1986) and further developed by Sturm and Swart (2018). It contains the better known additive dua…
math.PR2022
Applying monoid duality to a double contact process
Jan Niklas Latz, Jan M. Swart
In this paper we use duality techniques to study a combination of the well-known contact process (CP) and the somewhat less-known annihilating branching process. As the latter can…
math.PR2021
Commutative monoid duality
Jan Niklas Latz, Jan M. Swart
We introduce two partially overlapping classes of pathwise dualities between interacting particle systems that are based on commutative monoids (semigroups with a neutral element)…