Pure-jump semimartingales

@article{vCerny2019PurejumpS,
  title={Pure-jump semimartingales},
  author={Alevs vCern'y and Johannes Ruf},
  journal={arXiv: Probability},
  year={2019}
}
A taxonomic hierarchy of pure-jump semimartingales is introduced. This hierarchy contains, in particular, the class of sigma-locally finite variation pure-jump processes. The members of this family can be explicitly characterized in terms of the predictable compensators of their jump measures. This family is also closed under stochastic integration and smooth transformations. 
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