Publications: Scientific Journals and Books

(selected recent publications; microcavities / photonics, networks, and nonlinear dynamics and chaos related subjects only)

Networks

  • Strategic tradeoffs in competitor dynamics on adaptive networks
    Laurent Hébert-Dufresne, Antoine Allard, Pierre-André Noël, Jean-Gabriel Young, and Eric Libby
    Sci. Rep. 7, 7576 (1-11) (2017)
    Full text | arXiv.org

  • Susceptible-infected-susceptible dynamics on the rewired configuration model
    Guillaume St-Onge, Jean-Gabriel Young, Edward Laurence, Charles Murphy, and Louis J. Dubé
    (in submission)
    Full text | arXiv.org

  • Finite size analysis of the detectability limit of the stochastic block model
    Jean-Gabriel Young, Patrick Desrosiers, Laurent Hébert-Dufresne, Edward Laurence, and Louis J. Dubé
    Phys. Rev. E 95, 062304 (2017)
    Full text | arXiv.org | Software

  • Growing networks of overlapping communities with internal structure
    Jean-Gabriel Young, Laurent Hébert-Dufresne, Antoine Allard, and Louis J. Dubé
    Phys. Rev. E 94, 022317 (2016)
    Full text | arXiv.org | Software

  • Constrained growth of complex scale-independent systems [Editors's Suggestion]
    Laurent Hébert-Dufresne, Antoine Allard, Jean-Gabriel Young and Louis J. Dubé
    Phys. Rev. E 93, 032304 (2016)
    Full text | arXiv.org

  • Complex networks as an emerging property of hierarchical preferential attachment
    Laurent Hébert-Dufresne, Edward Laurence, Antoine Allard, Jean-Gabriel Young and Louis J. Dubé
    Phys. Rev. E 92, 062809 (2015)
    Full text | arXiv.org

  • General and exact approach to percolation on random graphs
    Antoine Allard, Laurent Hébert-Dufresne, Jean-Gabriel Young and Louis J. Dubé
    Phys. Rev. E 92, 062807 (2015)
    Full text | arXiv.org

  • A Shadowing Problem in the Detection of Overlapping Communities: Lifting the Resolution Limit through a Cascading Procedure
    Jean-Gabriel Young, Antoine Allard, Laurent Hébert-Dufresne, and Louis J. Dubé
    PLoS ONE 10, e0140133 (2015)
    Full text | arXiv.org | Software

  • The Social Zombie: Modelling undead outbreaks on social networks
    Laurent Hébert-Dufresne, Vincent Marceau, Pierre-André Noël, Antoine Allard, and Louis J. Dubé
    Robert Smith? (Ed.), University of Ottawa Press (2014)
    Chapter PDF | University of Ottawa Press | Amazon

  • Coexistence of phases and the observability of random graphs [Editor's Suggestion]
    Antoine Allard, Laurent Hébert-Dufresne, Jean-Gabriel Young and Louis J. Dubé
    Phys. Rev. E 89, 022801 (2014)
    Full text | arXiv.org

  • Percolation on random networks with arbitrary k-core structure
    Laurent Hébert-Dufresne, Antoine Allard, Jean-Gabriel Young and Louis J. Dubé
    Phys. Rev. E 88, 062820 (2013)
    Full text | arXiv.org | Software

  • Global efficiency of local immunization on complex networks
    Laurent Hébert-Dufresne, Antoine Allard, Jean-Gabriel Young, and Louis J. Dubé
    Sci. Rep­. 3, 2171 (1-8) (2013)
    Full text | arXiv.org | Supplementary Information

  • Spreading dynamics on contact networks: a general stochastic approach
    Pierre-André Noël, Antoine Allard, Laurent Hébert-Dufresne, Vincent Marceau, and Louis J. Dubé
    J. Math. Bio. 69, 1627-1660 (2014) (Published online December 2013)
    Full text | arXiv.org

  • Bond percolation on a class of correlated and clustered random graphs
    Antoine Allard, Laurent Hébert-Dufresne, Pierre-André Noël, Vincent Marceau, and Louis J. Dubé
    J. Phys. A 45, 405005 (1-15) (2012)
    Full text | arXiv.org

  • Exact solution of bond percolation on small arbitrary graphs
    Antoine Allard, Laurent Hébert-Dufresne, Pierre-André Noël, Vincent Marceau, and Louis J. Dubé
    EPL 98, 16001 (1-6) (2012)
    Full text | arXiv.org

  • Propagation on networks: an exact alternative perspective
    Pierre-André Noël, Antoine Allard, Laurent Hébert-Dufresne, Vincent Marceau, and Louis J. Dubé
    Phys. Rev. E 85, 031118 (1-7) (2012)
    Full text | arXiv.org

  • Structural preferential attachment: Stochastic process for the growth of scale-free, modular and self-similar systems
    Laurent Hébert-Dufresne, Antoine Allard, Vincent Marceau, Pierre-André Noël, and Louis J. Dubé
    Phys. Rev. E 85, 026108 (1-5) (2012)
    Full text | arXiv.org

  • Structural preferential attachment: Network organization beyond the link
    Laurent Hébert-Dufresne, Antoine Allard, Vincent Marceau, Pierre-André Noël, and Louis J. Dubé
    Phys. Rev. Lett. 107, 158702 (1-5) (2011)
    Full text | arXiv.org | Supplemental Material

  • Modeling the dynamical interaction between epidemics on overlay networks
    Vincent Marceau, Pierre-André Noël, Laurent Hébert-Dufresne, Antoine Allard, and Louis J. Dubé
    Phys. Rev. E 84, 026105 (1-10) (2011)
    Full text | arXiv.org

  • Adaptive networks: Coevolution of disease and topology
    Vincent Marceau, Pierre-André Noël, Laurent Hébert-Dufresne, Antoine Allard, and Louis J. Dubé
    Phys. Rev. E 82, 036116 (1-10) (2010)
    Full text | arXiv.org
    Also in the Virtual Journal of Biological Physics Research, issue 7, vol. 20 (2010)


  • Propagation dynamics on networks featuring complex topologies
    Laurent Hébert-Dufresne, Pierre-André Noël, Vincent Marceau, Antoine Allard, and Louis J. Dubé
    Phys. Rev. E 82, 036115 (1-9) (2010)
    Full text | arXiv.org
    Also in the Virtual Journal of Biological Physics Research, issue 7, vol. 20 (2010)


  • 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)
    Antoine Allard, Pierre-André Noël, and Louis J. Dubé
    Accromath 4, 24-29 (2009)
    Full text

  • Heterogeneous Bond Percolation on Multitype Networks with an Application to Epidemic Dynamics
    Antoine Allard, Pierre-André Noël, Louis J. Dubé and B. Pourbohloul
    Phys. Rev. E 79, 036113 (1-9) (2009)
    Full text | arXiv.org
    Also in the Virtual Journal of Biological Physics Research, issue 7, vol. 17 (2009)


  • Time Evolution of Epidemic Disease on Finite and Infinite Networks
    Pierre-André Noël, B. Davoudi, R.C. Brunham, Louis J. Dubé, and B. Pourbohloul
    Phys. Rev. E 79, 026101 (1-14) (2009)
    Full text | arXiv.org
    Also in the Virtual Journal of Biological Physics Research, issue 4, vol. 17 (2009)





Photonics / Microcavities

  • Femtosecond Self-Reconfiguration of Laser-Induced Plasma Patterns in Dielectrics
    Jean-Luc Déziel, Louis J. Dubé, Sandra H. Messaddeq, Younès Messaddeq and Charles Varin
    (in submission)
    Full text | arXiv.org

  • Constructive feedback for the growth of laser-induced periodic surface structures
    Jean-Luc Déziel, Joey Dumont, Denis Gagnon, Louis J. Dubé, Sandra Messaddeq and Younès Messaddeq
    Contributed to the 11th International Conference on Excitonic and Photonic Processes in Condensed Matter and Nano Materials
    Phys. Status Solidi C 13, 121–124 (2015) (Published online January 2016)
    Full text | arXiv.org

  • Lorenz-Mie theory for 2D scattering and resonance calculations (tutorial)
    Denis Gagnon and Louis J. Dubé
    J. Opt. 17, 103501 (2015)
    Full text | arXiv.org

  • Toward the formation of crossed laser-induced periodic surface structures
    Jean-Luc Déziel, Joey Dumont, Denis Gagnon, Louis J. Dubé, Sandra Messaddeq and Younès Messaddeq
    J. Opt. 17, 075405 (2015)
    Full text | arXiv.org

  • Optimization of integrated polarization filters
    Denis Gagnon, Joey Dumont, Jean-Luc Déziel and Louis J. Dubé
    Opt. Lett. 39, 5768-5771 (2014)
    Full text | arXiv.org

  • Ab initio investigation of lasing thresholds in photonic molecules
    Denis Gagnon, Joey Dumont, Jean-Luc Déziel and Louis J. Dubé
    J. Opt. Soc. Am. B, 31, 1867-1873 (2014)
    Full text | arXiv.org

  • Multiobjective optimization in integrated photonics design
    Denis Gagnon, Joey Dumont, and Louis J. Dubé
    Opt. Lett. 38, 2181-2184 (2013)
    Full text | arXiv.org

  • Coherent beam shaping using two-dimensional photonic crystals
    Denis Gagnon, Joey Dumont, and Louis J. Dubé
    in Proc. ICTON 2013, Cartagena, Spain
    Full text | arXiv.org

  • S and Q Matrices Reloaded: applications to open, inhomogeneous, and complex cavities
    Guillaume Painchaud-April, Joey Dumont, Denis Gagnon, and Louis J. Dubé
    in Proc. ICTON 2013, Cartagena, Spain
    Full text | arXiv.org

  • Beam shaping using genetically optimized two-dimensional photonic crystals
    Denis Gagnon, Joey Dumont, and Louis J. Dubé
    J. Opt. Soc. Am. A 29, 2673-2678 (2012)
    Full text | arXiv.org

  • Phase Space Engineering in Optical Microcavities I: Preserving near-field uniformity while inducing far-field directionality
    Guillaume Painchaud-April, Julien Poirier, Denis Gagnon, and Louis J. Dubé
    in Proc. ICTON 2010, Munich, Germany
    Full text | arXiv.org

  • Phase Space Engineering in Optical Microcavities II. Controlling the far-field
    Julien Poirier, Guillaume Painchaud-April, Denis Gagnon, and Louis J. Dubé
    in Proc. ICTON 2010, Munich, Germany
    Full text | arXiv.org



Nonlinear Dynamics and Chaos

  • Universality of Level Spacing Distributions in Classical Chaos
    J.F. Laprise, O. Blondeau-Fournier, J. Kröger, H. Kröger, Pierre-Yves St-Louis, Louis J. Dubé, E. Endresse, A. Burra, R. Zomorrodi, G. Melkonyan, and K.J.M. Moriarty
    Phys. Lett. A 372, 4574-4577 (2008)
    Full text

  • Chaotic Rotations Generated by Light in Nematic Liquid Crystals
    Étienne Brasselet and Louis J. Dubé
    Mol. Cryst. Liq. Cryst. 453, 93-105 (2006)
    Full text

  • Light-Induced Chaotic Rotations in Nematic Liquid Crystals
    Étienne Brasselet and Louis J. Dubé
    Phys. Rev. E 73, 021704 (1-11) (2006)
    Full text

  • Transverse Nonlocal Effects in Optical Reorientation of Nematic Liquid Crystals
    Étienne Brasselet, A. Lherbier, and Louis J. Dubé
    J. Opt. Soc. Am. B 23, 36-44 (2006)
    Full text

  • Bifurcation Analysis of Optically Induced Dynamics in Nematic Liquid Crystals: Elliptical Polarization at Normal Incidence
    D.O. Krimer, L. Kramer, Étienne Brasselet, T. Galstian, and Louis J. Dubé
    J. Opt. Soc. Am. B 22, 1681-1690 (2005)
    Full text

  • Bifurcation Analysis of Optically Induced Dynamics in Nematic Liquid Crystals: Circular Polarization at Normal Incidence
    Étienne Brasselet, T. Galstian, Louis J. Dubé, D.O. Krimer, and L. Kramer
    J. Opt. Soc. Am. B 22, 1671-1680 (2005)
    Full text

  • On Jacobian Matrices for Flows
    Bernard Doyon and Louis J. Dubé
    Chaos 15, 013108 (1-8) (2005)
    Full text

  • Dynamics of Light Induced Reorientation of Nematic Liquid Crystals in Spatially Confined Beams
    Étienne Brasselet, T. Galstian, and Louis J. Dubé
    Mol. Cryst. Liq. Cryst. 421, 69-80 (2004)
    Full text

  • Optically Induced Dynamics in Nematic Liquid Crystals: The Role of Finite Beam Size
    Étienne Brasselet, Bernard Doyon, T.V. Galstian, and Louis J. Dubé
    Phys. Rev. E 69, 021701 (1-12) (2004)
    Full text

  • Optically Induced Dynamics in Nematic Liquid Crystals: The Role of Twist Deformation and Asymmetry
    Étienne Brasselet, Bernard Doyon, T.V. Galstian, and Louis J. Dubé
    Phys. Rev. E 67, 031706 (1-13) (2003)
    Full text

  • New Laser Induced Spatio-Temporal Transition In Nematics
    Étienne Brasselet, Bernard Doyon, T.V. Galstian, and Louis J. Dubé
    Phys. Lett. A 299, 212-216. (2002)
    Full text

  • Targeting Unknown and Unstable Periodic Orbits
    Bernard Doyon and Louis J. Dubé
    Phys. Rev. E 65, 037202 (1-4) (2002)
    Full text

  • The Control of Hamiltonian Chaos
    Louis J. Dubé, Philippe Després, Bernard Doyon, and Babak Pourbohloul
    Physics in Canada -- Special Issue on Nonlinear Dynamics --, March/April, 57, 77-82 (2001)
    PDF

  • Detection and Prediction of Epileptic Seizures: A Patient's Case Study
    P.F. Verdes, G. Deco, D. Obradovic, Louis J. Dubé, R. Hopfengaertner, and H. Stefan
    Invited Contribution in "Proceedings of Congreso Argentino de Ciencia de la Computación",
    (Ediciones Cientificas Americanas), pp. 1493-1503 (2000)

  • The Control of Dynamical Systems -- Recovering Order from Chaos --
    Louis J. Dubé and Philippe Després,
    Invited Contribution in "The Physics of Electronic and Atomic Collisions -- XXI International Conference'',
    ed. Y. Itikawa et al. (AIP: Woodbury, N.Y.),
    AIP Conference Proceedings 500, 551-570 (2000)
    PDF

  • Zoom sur le Chaos (in French)
    Louis J. Dubé
    Interface 18, mars-avril, 50-51 (1997)
    PDF