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Conditioned exit measures of non-local branching processes

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Authors : Horton, Emma (Author of the conference)
CIRM (Publisher )

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Abstract : 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.

Keywords : branching processes; non-local branching; spine decomposition; many-to-few; exit measure

MSC Codes :
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)
60J85 - Applications of branching processes

    Information on the Video

    Film maker : Recanzone, Luca
    Language : English
    Available date : 11/10/2024
    Conference Date : 24/09/2024
    Subseries : Research talks
    arXiv category : Probability
    Mathematical Area(s) : Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:31:15
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2024-09-24_Horton.mp4

Information on the Event

Event Title : Non-local branching processes / Processus de branchement non local
Event Organizers : Cloez, Bertrand ; Maillard, Pascal ; Penington, Sarah ; Zalduendo Vidal, Nicolas
Dates : 23/09/2024 - 27/09/2024
Event Year : 2024
Event URL : https://conferences.cirm-math.fr/3109.html

Citation Data

DOI : 10.24350/CIRM.V.20248703
Cite this video as: Horton, Emma (2024). Conditioned exit measures of non-local branching processes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20248703
URI : http://dx.doi.org/10.24350/CIRM.V.20248703

See Also

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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