FrançaisMetastability of the contact process on evolving scale-free networks
Multi angle
Authors : Mörters, Peter (Author of the conference)
CIRM (Publisher )
82C22 - Interacting particle systems
05C82 - Small world graphs, complex networks
Additional resources :
https://www.cirm-math.fr/RepOrga/1940/Slides/meta_luminy.pdf
CIRM (Publisher )
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Abstract :
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
MSC Codes : 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
Additional resources :
https://www.cirm-math.fr/RepOrga/1940/Slides/meta_luminy.pdf
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Information on the Video
Language : EnglishAvailable date : 26/07/2019 Conference Date : 27/06/2019 Subseries : Research talks arXiv category : Combinatorics ; Probability Mathematical Area(s) : Computer Science ; Combinatorics ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 01:02:42 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2019-06-27_Morters.mp4 
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Information on the Event
Event Title : AofA: Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms / AofA: méthodes probabilistes, combinatoires et asymptotiques pour l analyse d algorithmesEvent Organizers : Bassino, Frédérique ; Martínez, Conrado ; Salvy, Bruno Dates : 24/06/2019 - 28/06/2019 Event Year : 2019 Event URL : https://conferences.cirm-math.fr/1940.html
Citation Data
DOI : 10.24350/CIRM.V.19539903Cite this video as: 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 |
Bibliography
- 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
