Trees within trees II: Nested Fragmentations

@inproceedings{Duchamps2018TreesWT,
  title={Trees within trees II: Nested Fragmentations},
  author={Jean-Jil Duchamps},
  year={2018}
}
  • Jean-Jil Duchamps
  • Published 2018
  • Mathematics, Biology
  • Similarly as in (Blancas et al. 2018) where nested coalescent processes are studied, we generalize the definition of partition-valued homogeneous Markov fragmentation processes to the setting of nested partitions, i.e. pairs of partitions $(\zeta,\xi)$ where $\zeta$ is finer than $\xi$. As in the classical univariate setting, under exchangeability and branching assumptions, we characterize the jump measure of nested fragmentation processes, in terms of erosion coefficients and dislocation… CONTINUE READING

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