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On the extinction time and maximal displacement of critical branching killed Levy process

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Authors : Song, Renming (Author of the conference)
CIRM (Publisher )

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Abstract : In this talk, I will present some recent results on the asymptotic behaviors of the tails of the extinction time and maximal displacement of critical branching killed Levy processes.
This talk is based on a joint paper with Hajie Hou and Yanxia Ren.

Keywords : branching killed Lévy process; superprocess; critical branching process; extinction time; maximal displacement; Yaglom limit; Feynman-Kac representation

MSC Codes :
60J68 - Superprocesses
60G51 - Processes with independent increments; Lévy processes
60G57 - Random measures
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 11/10/2024
    Conference Date : 23/09/2024
    Subseries : Research talks
    arXiv category : Probability
    Mathematical Area(s) : Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 00:43:06
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2024-09-23_Song.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.20249003
Cite this video as: Song, Renming (2024). On the extinction time and maximal displacement of critical branching killed Levy process. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20249003
URI : http://dx.doi.org/10.24350/CIRM.V.20249003

See Also

Bibliography

  • HOU, Haojie, REN, Yan-Xia, et SONG, Renming. Tails of extinction time and maximal displacement for critical branching killed L\'{e} vy process. arXiv preprint arXiv:2405.09019, 2024. - https://doi.org/10.48550/arXiv.2405.09019



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