Antoine Allard

Senior Research Fellow | Centre de Recerca Matemàtica, Barcelona






Senior Research Fellow
Centre de Recerca Matemàtica
Contact info. | Curriculum vitae

About me

I am a Senior Research Fellow at the Centre de Recerca Matemàtica in Bellaterra, Barcelona, Spain. I previously worked as a Postdoctoral Fellow at the Departament de Física de la Matèria Condensada of the University of Barcelona, Spain, affiliated to the Complexity Lab Barcelona and to the Universitat de Barcelona Institute of Complex Systems (UBICS). I obtained a PhD in Physics from Université Laval in Québec, Canada, in 2014 under the supervision of Louis J. Dubé.

About my research

Complex systems are composed of many elements whose interactions lead to emergent collective behaviors. These systems can be of diverse nature: biological (e.g., food webs of ecosystems, brains), technological (e.g., Internet, power grids), or social (e.g., contact/social networks). Examples of emergent properties are the robustness/stability to perturbations of ecosystems, the navigability of the Internet without an explicit knowledge of its global structure, and the susceptibility of a population in regard to large-scale epidemics of emerging infectious diseases.

Understanding the behavior, or function, of complex systems is achieved through the study of the structure of the interactions between their constituting elements. This in turn is achieved through a network—or graph—paradigm in which the elements are represented by nodes linked together if they interact in the original system. Statistical mechanics, graph theory, geometry and non-linear dynamics then offer a well developed set of concepts and mathematical tools to study and to model the interplay between the structure and the function of complex systems.

See the publications section for further details.

News

2017.10.05 — Publication
A new paper titled Geometric evolution of complex networks has been uploaded on the arXiv and has been submitted for publication. This paper presents a general class of geometric network growth mechanisms in which the distance threshold for new connections varies over time. We show that this new temporal component allows to control very elegantly the degree distribution as well as correlations between the degrees of neighboring nodes, among other things. Joint work with Dynamica.

2017.09.22 — Publication
Our paper titled The risk of sustained sexual transmission of Zika is underestimated has been published in PLOS Pathogens. This paper uses the results presented in a previous paper to draw epidemiological conclusions as to how to estimate the potential of the Zika virus as and STI, among other things. Joint work with Laurent Hébert-Dufresne, Benjamin M. Althouse and Samuel V. Scarpino.

2017.08.02 — Publication
Our paper titled Asymmetric percolation drives a double transition in sexual contact networks has been published in PNAS. This paper shows how asymmetric probabilities of occupation of edges create an effective core-periphery structure in graphs leading to a double percolation transition. When applied to the Zika virus–for which strong asymmetry is observed in the probabilities of sexual transmission between men and women–our results suggest that an epidemic could be occurring without us noticing it. Joint work with Laurent Hébert-Dufresne, Benjamin M. Althouse and Samuel V. Scarpino.

2017.08.02 — Publication
Our paper titled Strategic trade-offs in competitor dynamics on adaptive networks has been published in Scientific Reports. This paper sheds a new light on competitor dynamics by interpreting the network structure as a signature of the competitors' strategies, instead of simply as the substrate on which the dynamics take place. The proposed model yields elegant analytical solutions and has a surprising connection with classical game theory. Joint work with Laurent Hébert-Dufresne, Pierre-André Noël, Jean-Gabriel Young and Eric Libby.

2017.06.23 — Conference
Talk titled The effective navigable geometry of the brain at NetSci 2017. Joint work with M. Ángeles Serrano.

2017.06.20 — Conference
Satellite symposium Contagion on Networks at NetSci 2017. Organized with Benjamin M. Althouse, Laurent Hébert-Dufresne and Samuel V. Scarpino.

News archive

Publications

Listed in inverse chronological order; equal contributions are denoted by *.
Most of the publications below can also be found on arXiv or on Google Scholar.

— Submitted manuscripts —

Geometric evolution of complex networks
C. Murphy, A. Allard, E. Laurence, G. St-Onge and L. J. Dubé
arXiv

— 2017 —

The risk of sustained sexual transmission of Zika is underestimated
A. Allard*, B. M. Althouse*, L. Hébert-Dufresne* and S. V. Scarpino*
PLOS Pathogens 13, e1006633 (2017)
Full text | bioRxiv

Asymmetric percolation drives a double transition in sexual contact networks
A. Allard, B. M. Althouse, S. V. Scarpino and L. Hébert-Dufresne
Proceedings of the National Academy of Sciences USA 114, 8969-8973 (2017)
Full text | arXiv

Strategic tradeoffs in competitor dynamics on adaptive networks
L. Hébert-Dufresne, A. Allard, P.-A. Noël, J.-G. Young and E. Libby
Scientific Reports 7, 7576 (2017)
Full text | arXiv

The geometric nature of weights in real complex networks
A. Allard, M. Á. Serrano, G. García-Pérez and M. Boguñá
Nature Communications 8, 14103 (2017)
Full text | arXiv
Nature Phys. Research Highlights
Features in Nature Communications' web collection on complex systems

— 2016 —

Growing networks of overlapping communities with internal structure
J.-G. Young, L. Hébert-Dufresne, A. Allard, and L. J. Dubé
Physical Review E 94, 022317 (2016)
Full text | arXiv | Software

Multi-scale structure and topological anomaly detection via a new network statistic: The onion decomposition
L. Hébert-Dufresne, J. A. Grochow, and A. Allard
Scientific Reports 6, 31708 (2016)
Full text | arXiv

The effect of a prudent adaptive behaviour on disease transmission
S. V. Scarpino, A. Allard, L. Hébert-Dufresne
Nature Physics 12, 1042-1046 (2016)
Full text | arXiv | Media coverage
Nature Phys. News & Views
★ In the top 5% of all research outputs scored by Altmetric.

Constrained growth of complex scale-independent systems
L. Hébert-Dufresne, A. Allard, J.-G. Young, and L. J. Dubé
Physical Review E 93, 032304 (2016)
Full text | arXiv
★ In the Editors' Suggestions section of Physical Review E.

The hidden hyperbolic geometry of international trade: World Trade Atlas 1870-2013
G. García-Pérez, M. Boguñá, A. Allard, and M. Á. Serrano
Scientific Reports 6, 33441 (2016)
Full text | arXiv
★ Featured in the section Economía of the newspaper El Periódico.

— 2015 —

Complex networks as an emerging property of hierarchical preferential attachment
L. Hébert-Dufresne, E. Laurence, A. Allard, J.-G. Young and L. J. Dubé
Physical Review E 92, 062809 (2015)
Full text | arXiv | Software

General and exact approach to percolation on random graphs
A. Allard, L. Hébert-Dufresne, J.-G. Young and L. J. Dubé
Physical Review E 92, 062807 (2015)
Full text | arXiv

A shadowing problem in the detection of overlapping communities: lifting the resolution limit through a cascading procedure
J.-G. Young, A. Allard, L. Hébert-Dufresne and L. J. Dubé
PLOS ONE 10, e0140133 (2015)
Full text | arXiv | Software

— 2014 —

The Social Zombie: Modelling undead outbreaks on social networks
L. Hébert-Dufresne, V. Marceau, P.-A. Noël, A. Allard, and L. J. Dubé
Robert Smith? (Ed.), University of Ottawa Press, ISBN 978-0776622101
Table of contents

Spreading dynamics on complex networks: a general stochastic approach
P.-A. Noël, A. Allard, L. Hébert-Dufresne, V. Marceau and L. J. Dubé
Journal of Mathematical Biology 69, 1627 (2014)
Full text | arXiv

A system-level model for the microbial regulatory genome
A. N. Brooks, D. J. Reiss, A. Allard, W.-J. Wu, D. M. Salvanha, C. L. Plaisier, S. Chandrasekaran, M. Pan, A. Kaur and N. S. Baliga
Molecular Systems Biology 10, 740 (2014)
Full text

Coexistence of phases and the observability of random graphs
A. Allard, L. Hébert-Dufresne, J.-G. Young and L. J. Dubé
Physical Review E 89, 022801 (2014)
Full text | arXiv
★ In the Editors' Suggestions section of Physical Review E.

Percolation sur graphes aléatoires: Modélisation et description analytique
(Percolation on random graphs: Modelling and analytical description)
Ph.D. Thesis, Université Laval (2014)
PDF

— 2013 —

Percolation on random networks with arbitrary k-core structure
L. Hébert-Dufresne*, A. Allard*, J.-G. Young and L. J. Dubé
Physical Review E 88, 062820 (2013)
Full text | arXiv

Global efficiency of local immunization of complex networks
L. Hébert-Dufresne*, A. Allard*, J.-G. Young* and L. J. Dubé
Scientific Reports 3, 2171 (2013)
Full text | arXiv

— 2012 —

Bond percolation on a class of correlated and clustered random graphs
A. Allard, L. Hébert-Dufresne, P.-A. Noël, V. Marceau and L. J. Dubé
Journal of Physics A 45, 405005 (2012)
Full text | arXiv

Exact solution of bond percolation on small arbitrary graphs
A. Allard, L. Hébert-Dufresne, P.-A. Noël, V. Marceau and L. J. Dubé
Europhysics Letters (EPL) 98, 16001 (2012)
Full text | arXiv

Propagation on networks: An exact alternative perspective
P.-A. Noël, A. Allard, L. Hébert-Dufresne, V. Marceau and L. J. Dubé
Physical Review E 85, 031118 (2012)
Full text | arXiv

Structural preferential attachment: Stochastic process for the growth of scale-free, modular and self-similar systems
L. Hébert-Dufresne, A. Allard, V. Marceau, P.-A. Noël and L. J. Dubé
Physical Review E 85, 026108 (2012)
Full text | arXiv | Software

— 2011 —

Structural Preferential Attachment: Network Organization beyond the Link
L. Hébert-Dufresne, A. Allard, V. Marceau, P.-A. Noël and L. J. Dubé
Physical Review Letters 107, 158702 (2011)
Full text | arXiv | Software

Modeling the dynamical interaction between epidemics on overlay networks
V. Marceau, P.-A. Noël, L. Hébert-Dufresne, A. Allard and L. J. Dubé
Physical Review E 84, 026105 (2011)
Full text | arXiv

— 2010 —

Propagation dynamics on networks featuring complex topologies
L. Hébert-Dufresne, P.-A. Noël, V. Marceau, A. Allard and L. J. Dubé
Physical Review E 82, 036115 (2010)
Full text | arXiv
★ Also in the *Virtual Journal of Biological Physics Research*, issue 7, vol. 20 (2010)

Adaptive networks: Coevolution of disease and topology
V. Marceau, P.-A. Noël, L. Hébert-Dufresne, A. Allard and L. J. Dubé
Physical Review E 82, 036116 (2010)
Full text | arXiv
★ Also in the *Virtual Journal of Biological Physics Research*, issue 7, vol. 20 (2010)

— 2009 —

Heterogeneous Bond Percolation on Multitype Networks with an Application to Epidemic Dynamics
A. Allard, P.-A. Noël, L. J. Dubé and B. Pourbohloul
Physical Review E 79, 036113 (2009)
Full text | arXiv
★ Also in the *Virtual Journal of Biological Physics Research*, issue 7, vol. 17 (2009)

Des Ponts d'Euler à la Grippe Aviaire: De l'abstraction mathématique à la réalité sociale des épidémies
(From Euler Bridges to the Avian Flu: From Mathematical Abstraction to the Social Reality of Epidemics)
A. Allard, P.-A. Noël, and L. J. Dubé
Accromath 4, 24-29 (2009)
Full text

— 2008 —

Modélisation Mathématique en Epidémiologie par Réseaux de Contacts: Introduction de l'Hétérogénéité dans la Transmissibilité
(Mathematical Modelling in Contact Networks for Epidemiology: Introduction of Heterogenity in Transmissibility)
M.Sc. Thesis, Université Laval (2008)
PDF

Codes

The notBGL library: A user-friendly C++ interface provinding a set of functions and objects to facilitate the use of the Boost Graph Library. Ongoing project, feel free to send me some feedback.

Some other codes are also available on Github.

Contact Information

aallard [at] crm [dot] cat
@all_are
antoineallard
Google Scholar
ORCID
Mendeley

Affiliations

Centre de Recerca Matemàtica (main affiliation)
Campus de Bellaterra, Edifici C
08193 Bellaterra (Barcelona), Spain

Département de physique, de génie physique et d'optique (affiliate faculty)
1045 avenue de la Médecine
Université Laval
Québec (Québec) G1V 0A6, Canada