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H 1 Freezing and decorated Poisson point processes

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

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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
60J65 - Brownian motion
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 ; Probability and Statistics
    Format : QuickTime (.mov) Durée : 01:12:04
    Domaine : Probability & Statistics
    Audience : Chercheurs ; Doctorants , Post - Doctorants
    Download : https://videos.cirm-math.fr/2014-06-02_Zeitouni.mp4

Informations sur la rencontre

Nom de la rencontre : Recent models in random media / Modèles récents en milieu aléatoire
Organisateurs de la rencontre : Enriquez, Nathanaël ; Hu, Yueyun ; Shi, Zhan
Dates : 02/06/14 - 06/06/14
Année de la rencontre : 2014
URL Congrès : http://www.math.univ-paris13.fr/~tournie...

Citation Data

DOI : 10.24350/CIRM.V.18503803
Cite 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