• Corpus ID: 248572467

The structure of the local time of Markov processes indexed by Levy trees

@inproceedings{Riera2022TheSO,
  title={The structure of the local time of Markov processes indexed by Levy trees},
  author={Armando Riera and Alejandro Rosales-Ortiz},
  year={2022}
}
We construct the analogue of the local time -- at a fixed point $x$ -- for Markov processes indexed by Levy trees. We start by proving that Markov processes indexed by Levy trees satisfy a special Markov property which can be thought as a spatial version of the classical Markov property. Then, we construct the analogue of the local time by an approximation procedure and we characterize the support of its Lebesgue-Stieltjes measure. We also give an equivalent construction in terms of a special…