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Monotone Duality of Interacting Particle Systems

Publikace na Matematicko-fyzikální fakulta |
2023

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

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.