EnglishMetastability of the contact process on evolving scale-free networks
Multi angle
Auteurs : Mörters, Peter (Auteur de la Conférence)
CIRM (Editeur )
82C22 - Interacting particle systems
05C82 - Small world graphs, complex networks
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/1940/Slides/meta_luminy.pdf
CIRM (Editeur )
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Résumé :
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).
Keywords : temporal network; SIS infection; phase transition; contact process; scale-free networks
Codes MSC : The talk is based on joint work with Emmanuel Jacob (ENS Lyon) and Amitai Linker (Universidad de Chile).
Keywords : temporal network; SIS infection; phase transition; contact process; scale-free networks
82C22 - Interacting particle systems
05C82 - Small world graphs, complex networks
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/1940/Slides/meta_luminy.pdf
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 26/07/2019 Date de captation : 27/06/2019 Sous collection : Research talks arXiv category : Combinatorics ; Probability Domaine : Computer Science ; Combinatorics ; Probability & Statistics Format : MP4 (.mp4) - HD Durée : 01:02:42 Audience : Researchers Download : https://videos.cirm-math.fr/2019-06-27_Morters.mp4 
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Informations sur la Rencontre
Nom de la rencontre : AofA: Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms / AofA: méthodes probabilistes, combinatoires et asymptotiques pour l analyse d algorithmesOrganisateurs de la rencontre : Bassino, Frédérique ; Martínez, Conrado ; Salvy, Bruno Dates : 24/06/2019 - 28/06/2019 Année de la rencontre : 2019 URL Congrès : https://conferences.cirm-math.fr/1940.html
Données de citation
DOI : 10.24350/CIRM.V.19539903Citer cette vidéo: Mörters, Peter (2019). Metastability of the contact process on evolving scale-free networks. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19539903 URI : http://dx.doi.org/10.24350/CIRM.V.19539903 |
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
