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Freezing and decorated Poisson point processes
Post-edited
Authors : Zeitouni, Ofer (Author of the conference)
CIRM (Publisher )
60G55 - Point processes
60J65 - Brownian motion
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)
CIRM (Publisher )
Abstract :
The freezing in the title refers to a property of point processes: let $\left ( X_i \right )_{i\geq 1}$ denote a point process which is locally finite and has finite maximum. For a function f continuous of compact support, define $Z_f=f\left ( X_1 \right )+f\left ( X_2 \right )+....$ We say that freezing occurs if the Laplace transform of $Z_f$ depends on f only through a shift. I will discuss this notion and its equivalence with other properties of the point process. In particular, such freezing occurs for the extremal process in branching random walks and in certain versions of the (discrete) two dimensional GFF.
Joint work with Eliran Subag
MSC Codes : Joint work with Eliran Subag
60G55 - Point processes
60J65 - Brownian motion
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/06/14 Conference Date : 02/06/14 Subseries : Research talks arXiv category : Probability Mathematical Area(s) : Probability & Statistics Format : QuickTime (.mov) Video Time : 01:12:04 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-06-02_Zeitouni.mp4 
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Information on the Event
Event Title : Recent models in random media / Modèles récents en milieu aléatoireEvent Organizers : Enriquez, Nathanaël ; Hu, Yueyun ; Shi, Zhan Dates : 02/06/14 - 06/06/14 Event Year : 2014 Event URL : http://www.math.univ-paris13.fr/~tournie...
Citation Data
DOI : 10.24350/CIRM.V.18503803Cite this video as: Zeitouni, Ofer (2014). Freezing and decorated Poisson point processes. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18503803 URI : http://dx.doi.org/10.24350/CIRM.V.18503803 |
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