Publication at Faculty of Mathematics and Physics |
2023
Abstract
A theory of dual processes for attractive spin systems was developed by Gray. Based on Gray's work, monotonicity-based pathwise dualities for Markov processes in general and interacting particle systems in particular were systematically investigated.
However, the authors only prove the well-definedness of the dual process if started from finite initial states. This poster shows how to construct a well-defined pathwise dual process of a monotone interacting particle system that can also be started from an infinite initial state.