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

By Peter Mörters

Appears in 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).

Information about the video

Date of recording 27/06/2019
Date of publication 26/07/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19539903
Cite this video 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

Domain(s)

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

MSC codes

Document(s)

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

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