Quasi-reversible bullet models

Jérôme Casse

Published 2024-10-01Version 1

We consider a large class of bullet models that contains, in particular, the colliding bullet models with creations. For this large class of bullet models, we give sufficient conditions on their parameter to be $\text{rot}(\pi)$-quasi-reversible and to be $\text{rot}(\pi/2)$-quasi-reversible. Moreover, those conditions assure them that one of their invariant measures is described by a Poisson Point Processes. This result applied to the colliding bullet models with creations is a first step to study its property under its non-empty invariant measure.