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Post-edited Freezing and decorated Poisson point processes

Auteurs : Zeitouni, Ofer (Auteur de la Conférence)
CIRM (Editeur )

 Loading the player... REM extremal point process branching Brownian motion and its extremal process shifted decorated Poisson point process discrete Gaussian free field the Derrida-Spohn freezing freezing definitions freezing and shifted decorated Poisson point process (SDPPP) invariance properties convolution of Gumbels freezing and external processus

Résumé : 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

Codes MSC :
60G55 - Point processes
60J80 - Branching processes (Galton-Watson, birth-and-death, etc.)

 Informations sur la Vidéo Réalisateur : Hennenfent, Guillaume Langue : Anglais Date de publication : 16/06/14 Date de captation : 02/06/14 Collection : Research talks Format : QuickTime (.mov) Durée : 01:12:04 Domaine : Probability & Statistics Audience : Chercheurs ; Doctorants , Post - Doctorants Download : http://videos.cirm-math.fr/2014-06-02_Zeitouni.mp4 Informations sur la rencontre Nom du congrès : Recent models in random media / Modèles récents en milieu aléatoireOrganisteurs Congrès : Enriquez, Nathanaël ; Hu, Yueyun ; Shi, ZhanDates : 02/06/14 - 06/06/14 Année de la rencontre : 2014 URL Congrès : http://www.math.univ-paris13.fr/~tournie... Citation DataDOI : 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.18503803URI : http://dx.doi.org/10.24350/CIRM.V.18503803

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