Corpus ID: 55970466

Spine proofs for Lp-convergence of branching-diffusion martingales

@inproceedings{Hardy2019SpinePF,
  title={Spine proofs for Lp-convergence of branching-diffusion martingales},
  author={Robert Hardy and Simon C. Harris},
  year={2019}
}
  • Robert Hardy, Simon C. Harris
  • Published 2019
  • Mathematics
  • Using the foundations laid down in Hardy and Harris (2006) ["A new formulation of the spine approach in branching diffusions", arXiv:math.PR/0611054], we present new spine proofs of the L^p-convergence p>=1) of some key `additive' martingales for three distinct models of branching diffusions, including new results for a multi-type branching Brownian motion and discussion of left-most particle speeds. The spine techniques we develop give clear and simple arguments in the spirit of the conceptual… CONTINUE READING

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