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Conditioned exit measures of non-local branching processes

By Emma Horton

Appears in collection : Non-local branching processes / Processus de branchement non local

Motivated by understanding rare events for fissile systems, we consider path decompositions for conditioned exit measures of non-local branching processes. In particular, we show that non-local branching processes conditioned to exit a domain via certain sets exhibits a many-to-few decomposition.

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Citation data

  • DOI 10.24350/CIRM.V.20248703
  • Cite this video Horton, Emma (24/09/2024). Conditioned exit measures of non-local branching processes. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20248703
  • URL https://dx.doi.org/10.24350/CIRM.V.20248703

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Bibliography

  • HARRIS, Simon C., HORTON, Emma, KYPRIANOU, Andreas E., et al. Many-to-few for non-local branching Markov process. Electronic Journal of Probability, 2024, vol. 29, p. 1-26. - http://dx.doi.org/10.1214/24-EJP1098
  • SALISBURY, Thomas S. et VERZANI, John. On the conditioned exit measures of super Brownian motion. Probability theory and related fields, 1999, vol. 115, p. 237-285. - http://dx.doi.org/10.1007/s004400050271
  • HAREIS, Simon C., ROBERTS, Matthew I. Roberts. The many-to-few lemma and multiple spines. Ann. Inst. H. Poincaré Probab. Statist. 53 (1) 226 - 242, February 2017 - https://doi.org/10.1214/15-AIHP714

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