Henri Berestycki

Professor (Directeur d’études à l’EHESS, Chaire « Analyse mathématique et modélisation »), EHESS,
CAMS Centre d’analyse et de mathématique sociales – UMR 8557 (CNRS / EHESS)
Ecoles des hautes études en sciences sociales
54, boulevard Raspail – 75006 Paris – France
Bureau A4-30 – 4^e étage
Tél. (+33)(0)1 49 54 20 33 – Fax (+33)(0)1 49 54 21 09

Courriel / Mail
Curriculum vitae

Domaines de recherche / Fields of research

Equations aux dérivés partielles et analyse non-linéaires / Nonlinear partial differential equations and analysis
Problèmes non linéaires issus de la physique / Nonlinear problems from physics
Calcul des variations / Calculus of variations
Théorie qualitative des équations elliptiques non linéaires et paraboliques / Qualitative theory of nonlinear elliptic and parabolic equations
Modélisation mathématique de la combustion / Mathematical models of combustion
Problèmes de frontières libres / Free boundary problems
Modèles mathématiques en finance / Mathematical models in finance
Equations de réaction-diffusion et phénomènes de propagation / Reaction-diffusion equations and propagation phenomena
Modèles en biologie et écologie / Models in biology and ecology
Modélisation pour les sciences sociales / Modelling in the social sciences

ERC ReaDi

Reaction-Diffusion Equations, Propagation and Modelling, ERC Advanced Grant 2013-2018

Séminaires et cours / Seminars and courses

Publications

Voir aussi la liste sur / see also the list on Google Scholar.

Articles

Plateaus, rebounds and the effects of individual behaviours in epidemics
H Berestycki, B Desjardins, B Heintz, JM Oury,
Scientific Reports 2021
The effects of heterogeneity and stochastic variability of behaviours on the intrinsic dynamics of epidemics
H Berestycki, B Desjardins, B Heintz, JM Oury
medRxiv 2021
Propagation of epidemics along lines with fast diffusion
H Berestycki, JM Roquejoffre, L Rossi
Bulletin of Mathematical Biology 83 (1), 1-34, 2021
A parsimonious approach for spatial transmission and heterogeneity in the COVID-19 propagation
L Roques, O Bonnefon, V Baudrot, S Soubeyrand, H Berestycki
Royal Society open science 7 (12), 201382, 2020
Influence of a road on a population in an ecological niche facing climate change
H Berestycki, R Ducasse, L Rossi
Journal of Mathematical Biology 81 (4), 1059-1097, 2020
Reaction-diffusion equations in the half-space
H Berestycki, C Graham
arXiv preprint arXiv:2007.13909, 2020
A parsimonious model for spatial transmission and heterogeneity in the COVID-19 propagation
L Roques, O Bonnefon, V Baudrot, S Soubeyrand, H Berestycki
arXiv preprint arXiv:2007.08002, 2020
Modeling the propagation of riots, collective behaviors, and epidemics
H Berestycki, S Nordmann, L Rossi
arXiv preprint arXiv:2005.09865, 2020
Modeling propagation of epidemics, social unrest and other collective behaviors
H Berestycki, S Nordmann, L Rossi
arXiv e-prints, arXiv: 2005.09865, 2020
Generalized principal eigenvalues for heterogeneous road–field systems
H Berestycki, R Ducasse, L Rossi
Communications in Contemporary Mathematics 22 (01), 1950013 , 2020
The existence and stability of spike solutions for a chemotaxis system modeling crime pattern formation
H Berestycki, L Mei, J Wei
arXiv preprint arXiv:1911.10054, 2019
Bubbles in assets with finite life
H Berestycki, C Bruggeman, R Monneau, JA Scheinkman
Mathematics and Financial Economics 13 (3), 429-458, 2019
Coupled reaction-diffusion equations on adjacent domains
H Berestycki, L Rossi, A Tellini
arXiv preprint arXiv:1903.11717, 2019
Predator-prey models with competition, Part II: uniform regularity estimates
H Berestycki, A Zilio
arXiv preprint arXiv:1903.11556, 2019
Predator-prey models with competition: The emergence of territoriality
H Berestycki, A Zilio
The American Naturalist 193 (3), 436-446, 2019
Predator-prey models with competition, Part III: Classification of stationary solutions
H Berestycki, A Zilio
arXiv preprint arXiv:1901.02820, 2019
Asymptotic spreading for general heterogeneous Fisher-KPP type equations
H Berestycki, G Nadin
Memoirs of the American Mathematical Society, 2019
Bubbles in assets with finite life
H Berestycki, C Bruggeman, R Monneau, J Scheinkman
Available at SSRN 2617078, 2018
Predators–prey models with competition, part i: Existence, bifurcation and qualitative properties
H Berestycki, A Zilio
Communications in Contemporary Mathematics 20 (07), 1850010, 2018
Qualitative properties of positive solutions of elliptic equations
H Berestycki
Partial differential equations, 34-44, 2018
Forced waves of the Fisher–KPP equation in a shifting environment
H Berestycki, J Fang
Journal of differential equations 264 (3), 2157-2183, 2018
Epidemiological modelling of the 2005 French riots: a spreading wave and the role of contagion
L Bonnasse-Gahot, H Berestycki, MA Depuiset, MB Gordon, S Roché, …
Scientific reports 8 (1), 1-20, 2018
Periodic cycles of social outbursts of activity
H Berestycki, L Rossi, N Rodríguez
Journal of Differential Equations 264 (1), 163-196, 2018

Liste des publications / list of publications 2017

Riot contagion: epidemic modeling of the 2005 wave in France
L Bonnasse-Gahot, H Berestycki, MA Depuiset, MB Gordon, S Roché, …
Scientific Reports 8 (107)
H. Berestycki, A. Zilio, « Predators-prey models with competition: the emergence of territoriality », (2017).
H. Berestycki, A. Zilio, « Predators-prey models with competition, Part I : existence, bifurcation and qualitative properties », (2017) submitted.
L. Bonnasse-Gahot, H. Berestycki, M.-A. Depuiset, M. Gordon, J.-P. Nadal, S. Roch, N. Rodriguez, « Epidemiological modeling of the 2005 French riots : a spreading wave and the role of contagion », (2017), Scientific Reports, to appear 2018, arXiv:1707.07479.
H. Berestycki, C. Bruggeman, R. Monneau, J. Scheinkman, « Bubbles in assets with finite life », (2016) submitted, preprint.
H. Berestycki, G. Nadin, “Asymptotic spreading for general heterogeneous Fisher-KPP type equations”, (2017) preprint.
H. Berestycki, N. Rodriguez, L. Rossi, « Periodic cycles of rioting activity », J. Diff. Equations (2018), to appear, preprint, DOI: 10.1016/j.jde.2017.09.005.
M. Alfaro, H. Berestycki, G. Raoul, « The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition« , SIAM Journal on Mathematical Analysis, 49, 1 (2017), 562-596, arXiv:1511.05110.
H. Berestycki, N. Rodriguez, « A non-local bistable reaction-diffusion equation with a gap« , Discrete and Continuous Dynamical Systems – Series A, 37, 2 (2017), 685-723, DOI:10.3934/- dcds.2017029.
H. Berestycki, J. Coville, H.-H. Vo, « On the definition and the properties of the principal eigenvalue of some nonlocal operators« , Journal of Functional Analysis, 271, 10 (2016), 2701-2751, arXiv:1512.06529.
H. Berestycki, J. Coville, H.H. Vo, « Persistence criteria for populations with non-local dispersion« , Journal of Mathematical Biology, 72, 7 (2016), 1-53, 1693-1745, arXiv: 1406.6346.
H. Berestycki, J. Bouhours, G. Chapuisat, “Front blocking and propagation in cylinders with varying cross section”, Calculus of Variations and PDE’s, 55, 3 (2016), 1-32, arXiv:1501.01326.
H. Berestycki, J.-M. Roquejoffre, L. Rossi, « The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations« , Communication in Mathematical Physics, 343, 1 (2016), 207-232, arXiv:1402.1441.
H. Berestycki, T. Jin, L. Silvestre, “Propagation in a non local reaction diffusion equation with spatial and genetic trait structure”, Nonlinearity, 29, 4 (2016), 1434-1466, preprint.
H. Berestycki, J.-M. Roquejoffre, L. Rossi, “Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion”,  Nonlinear Analysis, 137 (2016), 171-189, preprint.
H. Berestycki, N. Rodriguez, “Analysis of a heterogeneous model for riot dynamics: the effect of censorship of information”, European Journal of Applied Mathematics, 27, 3 (2016), 554-582, preprint.
H. Berestycki, J.-P. Nadal, N. Rodriguez, “A Model Of Riots Dynamics: Shocks, Diffusion And Thresholds”, Networks and Heterogeneous Media, 10, 3 (2015), 443-475, preprint.
H. Berestycki, A.C. Coulon, J.M. Roquejoffre, L. Rossi, “The effect of a line with non-local diffusion on Fisher-KPP propagation”, Mathematical Models and Methods in Applied Sciences, 25, 13 (2015) 2519-2562, preprint.
H. Berestycki , L. Rossi, “Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains”, Commun. Pure Applied Math., 68, 6 (2015), 1014-1065, preprint, arXiv:1008.4871.
H. Berestycki, I. Capuzzo Dolcetta, A. Porretta, L. Rossi, “Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators”, Journal de Mathématiques Pures et Appliquées, 103, 5 (2015), 1276-1293, preprint.
H. Berestycki, L. Desvillettes, O. Diekmann, “Can climate change lead to gap formation?”, Ecological Complexity, 20 (2014), 264–270.
H. Berestycki, A.C. Coulon, J.M. Roquejoffre, L. Rossi, “Speed-up of reaction-diffusion fronts by a line of fast diffusion”, Séminaire Laurent Schwartz EDP et applications, 25, 13 (2013-2014), 1-25.
L. Roques, J.-P. Rossi, H. Berestycki, J. Rousselet, J. Garnier, J.-M. Roquejoffre, L. Rossi, S. Soubeyrabd, C. Robinet, « Modeling the spatio-temporal dynamics of the pine processionary moth« , in Processionary Moths and Climate Change: An Update, Springer (2014), 227-263.
H. Berestycki, A. Hastings, M. Lexis, P. Molnar, “Special Section : Climate Change”, Ecological Complexity, 20 (2014), 257-334, “Impact of climate change on biological invasions and population distributions”, BIRS workshop, preprint.
H. Berestycki, R. Monneau, José A. Scheinkman, “A non local free boundary problem arising in a theory of financial bubbles”, Phil. Trans. Roy. Soc. A, 372, 2028 (2014), preprint.
H. Berestycki, J-C. Wei, M. Winter, “Existence of symmetric and asymmetric spikes for a crime hotspot model”, SIAM journal of Math. Anal., 46, 1 (2014), 691-719, preprint, arViv:1311.2086.
H. Berestycki, N. Rodriguez, L. Ryzhik, “Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity”, SIAM Multiscale Modeling and Simulation, 11, 4 (2013), 1097-1126, arXiv:1302.4333.
H. Berestycki, J.M. Roquejoffre, L Rossi, “Fisher-KPP propagation in the presence of a line: further effects”, Nonlinearity, 26, 9 (2013), 2623-2640, arXiv:1303.1091.
M. Barthelemy, P. Bordin, M. Gribaudi, H. Berestycki, “Self-organization versus top-down planning in the evolution of a city”, Scientific Reports, 3, 2153 (2013), arXiv:1307.2203.
H. Berestycki, G. Chapuisat, “Traveling fronts guided by the environment for reaction-diffusion equations”, Networks and Heterogeneous Media , 8, 1 (2013), 79-114, arXiv:1206.6575.
H. Berestycki, S. Terracini, K. Wang, J-C. Wei, “On Entire Solutions of an Elliptic System Modeling Phase Separations”, Advances in Math, 243 (2013), 102-126, arXiv:1204.1038.
H. Berestycki, T.-C. Lin, J. Wei, C. Zhao, “On Phase-Separation Model : Asymptotics and Qualitative Properties”, Archive for Rational Mechanics and Analysis, 208, 1 (2013), 163-200, preprint.
H. Berestycki, J.-M. Roquejoffre, L. Rossi, “The influence of a line with fast diffusion on Fisher-KPP propagation”, Journal of Mathematical Biology , 66, 4 (2013), 743-766, preprint.
H. Berestycki, G. Nadin, “Spreading speeds for one-dimensional monostable reaction-diffusion equations”, Journal of Mathematical Physics, 53, 11 (2012), 1-23, preprint.
H. Berestycki, F. Hamel, “Generalized transition waves and their properties”, Communications on Pure and Applied Mathematics, 65, 5 (2012), 592-648, arXiv:1012.0794.
H. Berestycki, J.-M. Roquejoffre, L. Rossi, “The periodic patch model for population dynamics with fractional diffusion”, Discrete and Continuous Dynamical Systems series S, 4, 1 (2011), 1-13, preprint.
H. Berestycki et J.-P. Nadal, “Self-organized critical hot spots of criminal activity”, Europ. J. Appl. Math, 21, 4-5 (2010), preprint.
H. Berestycki, J. Wei, “On least energy solutions to a semilinear elliptic equation in a strip”, Discrete and Continuous Dynamical Systems series A, 28, 3 (2010), 1083-1099, preprint.
H. Berestycki, A. Kiselev, A. Novikov, L. Ryzhik, “The explosion problem in a flow”, Journal d’Analyse Math, 110, 1 (2010), preprint.
M. Barthelemy, H. Berestycki, J.-P. Nadal, “Disentangling collective trends from local dynamics”, Proc National Acad Sci US, 107, 17 (2010), 7629-7634, arXiv:0909.1490.
H. Berestycki, F. Hamel, N. Nadirashvili, “The speed of propagation for KPP type problems. II – General domains”, J. Amer. Math. Soc., 23 (2010), 1-34, preprint.
H. Berestycki, G. Nadin, B. Perthame, L. Ryzhik, “The non-local Fisher KPP equation: traveling waves and steady states”, Nonlinearity, 22, 12 (2009), 2813-2844, preprint.
H. Berestycki, F. Hamel, H. Matano, “Bistable travelling waves around an obstacle”, Comm. Pure Appl. Math, 62, 6 (2009), 729-788, preprint.
H. Berestycki, L. Rossi, “Reaction-diffusion equations for population dynamics with forced speed, II – Cylindrical type domain”, Discrete and Continuous Dynamical Systems Series A, 25, 1 (2009), 19-61, preprint.
H. Berestycki, O. Diekman, K. Nagelkerke, P. Zegeling “Can a species keep face with a shifting climate ?”, Bull. Mathematical Biology, 71, 2 (2008), 399-429, preprint.
H. Berestycki, F. Hamel, G. Nadin, “Asymptotic spreading in heterogeneous diffusive excitable media”, J. Funct. Anal., 255, 9 (2008), 2146-2189, preprint.
H. Berestycki, L. Rossi, “Reaction-diffusion equations for population dynamics with forced speed, I – The case of the whole space”, Discrete and Continuous Dynamical System Series A, 21,1 (2008), 41-67, preprint.
H. Berestycki, A. Kretzschmar, L. Roques, A. Roques, “A population facing climate change: joint influences of Allee effects and environmental boundary geometry”, Population Ecology, 50, 2 (2008), 215-225, preprint.
H. Berestycki, F. Hamel, “Generalized travelling waves for reaction-diffusion equations”, Perspectives in Nonlinear Partial Differential Equations, in honor of H. Brezis, H. Berestycki et al. (eds), Contemp. Mathematics, 446 (2007), Amer. Math. Soc., Providence, RI, preprint.
H. Berestycki, F. Hamel, L. Rossi, “Liouville – type results for semilinear elliptic equations in unbounded domains”, Annali di Matematica Pura e Applicata, 186, 3 (2007), 469-507, preprint.
H. Berestycki, F. Hamel, “Fronts and invasions in general domains”, C. R. Math. Acad.Sc. Paris Series I, 343, 11-12 (2006), 711-716.
H. Berestycki, L. Rossi, “On the principal eigenvalue of elliptic operators in IR ^Nand applications”, J. European Math. Soc., 8, 2 (2006), 195-215, preprint.
H. Berestycki, “The Influence of Advection on the Propagation of fronts in Reaction-Diffusion Equations”, Nonlinear PDE’s in Condensed Matter and Reactive Flows, NATO Science series C: Mathematical and physical Sciences, 569 (2002), H. Berestycki and Y. Pomeau eds., Kluwer Acad. Publ., Dordrecht, NL, 11-48, preprint.

Livre / Book

H. Berestycki, L. Hamel, Reaction-Diffusion Equations and Propagation Phenomena, Springer Verlag, New York, 2015, to appear.

Conférencier à des manifestations passées et à venir (conférencier invité ou organisateur)/ Past and forthcoming conferences (invited speaker or organizer)

(this part not up to date)

Conférences passées / past conferences :

16 février 2018 : Conférence de Henri Berestycki, Predators-prey model with competition. Emergence of territoriality and packs in animal behavior Meiji University, Center for Mathematical Modeling and Applications.
6-8 mars 2018, Conférence de Henri Berestycki, Emerging Challenges in Mathematical Biology, The Fields Institute for research in mathematical sciences, Toronto
« Reaction-diffusion system, theory and applications« , Meiji University, Tokyo, Japon, 17-19 mars 2017.
« Mostly Maximum Principle« , Unione Matematica Italiana, Agropoli, Italie, 16-18 septembre 2015.
» Può la Matematica aiutare a capire fenomeni sociali ? » (Les Mathématiques peuvent-elles aider à comprendre les phénomènes sociaux ?), dans le cadre du XX^ème congrès de l’Unione Matematica Italiana, Sienne, Italie, 8-10 septembre 2015.
« International Workshop on Elliptic and Kinetic PDE’s« , IMPA, Rio de Janeiro, Brésil, 5-18 juillet et 30 août-5 septembre 2015.
« Nonlinear Partial Differential Equations arising from Geometry and Physics« , Hammamet, Tunisie, 20-29 mars 2015.
« Crowd Dynamics« , Meiji University, Tokyo, Japon, 10-12 janvier 2015.
« Nonlinear elliptic PDEs at the End of the World« , Universidad de Magallanes, Punta Arenas, Chili, 2-6 mars 2015.
« Partial Differential Equations and Geometric Measure Theory », Cetraro, organisé par l’Université de Firenze, Italie, 2 – 6 juin 2014, http://php.math.unifi.it/users/cime/Courses/2014/course.php?codice=20141.
Workshop in honor of Nicola Garofalo, Isaac Newton Institute for Mathematical Sciences, Royaume-Uni , 26-27 mai 2014.
« Modelli Matematici per le Scienze Sociali« , Université de Turin, Italie, 28-29-30 avril 2014,
« Free boundary problems and related topics », Isaac Newton Institute for Mathematical Sciences, Royaume-Uni, 6 janvier – 14 février 2014, http://www.newton.ac.uk/programmes/FRB/.
SNP 2013 Winter Program, Kanazawa University, Japon, 31 janvier – 1^er février 2014, http://nlpde.w3.kanazawa-u.ac.jp/snp/prog2013.html.
« Maths physics meeting on cold atoms : topological defects and phase separation », Institut Henri Poincaré, Paris, 14-15 janvier 2014, http://lmv.math.cnrs.fr/conferences-et-colloques/maths-physics-meeting-on-cold/.
Mathematical Modelling of Complex Systems conference, Ecole Centrale Paris, Paris, 11-13 décembre 2013, http://www.mas.ecp.fr/lang/en/home/conference_mmsc/.
« Alan Turing et la morphogènèse », Université de Lorraine, cycle Sciences et Société, Nancy, 14 novembre 2013, http://www.univ-lorraine.fr/culture-science/conferences.
France-Taiwan Joint Conference on Nonlinear Partial Differential Equations, National Taiwan University, Taiwan, 21-25 octobre 2013, http://www.tims.ntu.edu.tw/workshop/Default/index.php?WID=171, organizer and speaker.
« New Mathematical Developments Arising from Ecology, Epidemiology and Environmental Science », Beijing International Center for Mathematical Research, Peking University, Chine, 17-20 octobre 2013, http://www.bicmr.org/conference/nmda/index.html.
« Solitons and Traveling Waves in Non-Integrable Systems », FMSP Summer School, University of Tokyo, Japon, http://fmsp.ms.u-tokyo.ac.jp/files/Summer_School2013/soliton-e.html.
International Conference “Interactions in Complex Systems”, Université d’Orléans, Orléans, 17-19 juin 2013, http://www.univ-orleans.fr/mapmo/peps/?q=node/23.
Joint Mathematical Weekend, European Mathematical Society & Danish Mathematical Society, Aarhus University, Danemark, 5-7 avril 2013, http://projects.au.dk/emsweekend/.

Liens vers d’autres événements / links to other events :

Recent developments of nonlinear PDEs, Mathematical Science Institute, Australian National University, Canberra, 25-29 novembre 2013, http://maths.anu.edu.au/events/recent-developments-nonlinear-pdes.

Comités éditoriaux de journaux scientifiques / Editorial boards of scientific journals

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