Metastability of the contact process on evolving scale-free networks | Vidéo | Carmin.tv

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Metastability of the contact process on evolving scale-free networks

De Peter Mörters

Apparaît dans la collection : AofA: Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms / AofA: méthodes probabilistes, combinatoires et asymptotiques pour l analyse d algorithmes

We study the contact process in the regime of small infection rates on scale-free networks evolving by stationary dynamics. A parameter allows us to interpolate between slow (static) and fast (mean-field) network dynamics. For two paradigmatic classes of networks we investigate transitions between phases of fast and slow extinction and in the latter case we analyse the density of infected vertices in the metastable state. The talk is based on joint work with Emmanuel Jacob (ENS Lyon) and Amitai Linker (Universidad de Chile).

Informations sur la vidéo

Date de captation 27/06/2019
Date de publication 26/07/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19539903
Citer cette vidéo Mörters, Peter (27/06/2019). Metastability of the contact process on evolving scale-free networks. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19539903
URL https://dx.doi.org/10.24350/CIRM.V.19539903

Domaine(s)

Bibliographie

CHATTERJEE, Shirshendu, DURRETT, Rick, et al. Contact processes on random graphs with power law degree distributions have critical value 0. The Annals of Probability, 2009, vol. 37, no 6, p. 2332-2356. - http://dx.doi.org/10.1214/09-AOP471
JACOB, Emmanuel, LINKER, Amitai, et MÖRTERS, Peter. Metastability of the contact process on fast evolving scale-free networks. arXiv preprint arXiv:1807.09863, 2018. - https://arxiv.org/abs/1807.09863
JACOB, Emmanuel et MÖRTERS, Peter. The contact process on scale-free networks evolving by vertex updating. Royal Society Open Science, 2017, vol. 4, no 5, p. 170081. - https://doi.org/10.1098/rsos.170081

Codes MSC

Document(s)

https://www.cirm-math.fr/RepOrga/1940/Slides/meta_luminy.pdf

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