Publications

Existence of a pulled or pushed travelling front invading a critical point for parabolic gradient systems

Ramon Oliver-Bonafoux, ER.
2023, 26 p. Pre
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Global convergence towards pushed travelling fronts for parabolic gradient systems

Ramon Oliver-Bonafoux, ER.
2023, 78 p. Pre
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Generic transversality of radially symmetric stationary solutions stable at infinity for parabolic gradient systems

ER.
2023, 26 p. Pre
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Generic transversality of travelling fronts, standing fronts, and standing pulses for parabolic gradient systems

Romain Joly, ER.
2023, 69 p. Pre
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Global behaviour of solutions stable at infinity for gradient systems in higher space dimension: the no invasion case

ER.
2022, 60 p. Pre
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Global behaviour of radially symmetric solutions stable at infinity for gradient systems

ER.
2022, 74 p. Pre
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Global behaviour of bistable solutions for hyperbolic gradient systems in one unbounded spatial dimension

ER.
2022, 95 p. Pre
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Global behaviour of bistable solutions for gradient systems in one unbounded spatial dimension

ER.
2022, 108 p. Pre
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Global relaxation of bistable solutions for gradient systems in one unbounded spatial dimension

ER.
2022, 96 p. Pre
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Competition between stable equilibria in reaction-diffusion systems: the influence of mobility on dominance

ER.
2017, 43 p. Pre
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Retracting fronts for the nonlinear complex heat equation

Guillaume Réocreux, ER.
2017, 21 p. Pre
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Uniqueness of the pendent drop of infinite length

ER.
2015, 12 p. Pre
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Base de données sémantique d'inventaires en cycle de vie

Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Ingénierie des Systèmes d'Information, 18.2 (2013), pp. 103–128. Art
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CarbonDB: a Semantic Life Cycle Inventory Database

Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Proceedings CIKM'12, Maui, HI, USA, October 29–November 02, 2012, pp. 2683–2685. Proc
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Semantic Modelling of Dependency Relations between Life Cycle Analysis Processes

Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
ICT-GLOW 2012, Vienna, Austria, September 6, 2012, pp. 109–124. Proc
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Modélisation sémantique des relations de dépendance entre les processus de l'analyse en cycle de vie

Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Actes du XXXème Congrès INFORSID, Montpellier, France, 29–31 mai 2012, pp. 507–522. Proc
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A semantic approach to life cycle assessment applied on energy environmental impact data management

Benjamin Bertin, Vasile-Marian Scuturici, Jean-Marie Pinon, ER.
Proceedings of the 2012 Joint EDBT/ICDT Workshops, March 26–30, 2012 - Berlin, Germany, pp. 87–94. Proc
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Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure

ER.
Ann. Inst. H. Poincaré Anal. Non Linéaire, 25.2 (2008), pp. 381–424. Art
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A variational proof of global stability for bistable travelling waves

Thierry Gallay, ER.
Differential Integral Equations, 20.8 (2007), pp. 901–926. Art
Permalink

Sur quelques phénomènes d'évolution non linéaires

ER.
Habilitation to conduct researches ("Habilitation à diriger des recherches") dissertation (2002). Dis
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Travelling waves and dispersion relation in the spatial unfolding of a periodic orbit

ER.
C. R. Acad. Sci. Paris, Ser. I, 334.9 (2002), pp. 833–838. Art
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Axisymmetric capillary surfaces as a dynamical system

Christophe Riera, ER.
Nonlinearity, 15.6 (2002), pp. 1843–1879. Art
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Spatial unfolding of homoclinic bifurcations

Pierre Coullet, ER, Nicolas Vandenberghe.
Nonlinear PDE's in Condensed Matter and Reactive Flows (2002), pp. 399–412. Proc
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A direct computation of the phase stability criterion for spatially homogeneous time periodic solutions close to a Hopf bifurcation

ER.
Int. J. Bifur. Chaos, 11.8 (2001), pp. 2097–2105. Art
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Generic instability of spatial unfoldings of almost homoclinic periodic orbits

ER.
Comm. Math. Phys., 216 (2001), pp. 325–356. Art
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Self-parametric instability in spatially extended systems

Médéric Argentina, Pierre Coullet, ER.
Phys. Rev. Lett., 86.5 (2001), pp. 807–809. Art
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Criteria for the stability of spatial extensions of fixed points and periodic orbits of differential equations in dimension 2

ER.
Phys. D, 146 (2000), pp. 121–136. Art
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Spatially extended differential equations in a potential: On the borders of the basins of attraction related to local minima

ER.
J. Differential Equations, 166.2 (2000), pp. 347–384. Art
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Spatial unfoldings of elementary bifurcations

Pierre Coullet, ER, Nicolas Vandenberghe.
J. Stat. Phys., 101.1 (2000), pp. 521–541. Art
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Compacts connexes invariants par une application univalente

ER.
Fund. Math., 161 (1999), pp. 241–277. Art
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Linéarisation des perturbations holomorphes des rotations et applications

ER.
Mém. Soc. Math. Fr., 77 (1999), pp. 1–102. Mon
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Dynamique des perturbations holomorphes des rotations

ER.
Ph D, École Polytechnique (1996). Dis

Teaching

Philosophy of teaching

• Peer instruction
  • Peer Instruction for Active Learning, Eric Mazur.
  • Perusall
• Quantity versus quality (maybe not what you would expect).
• La mathématique expérimentale, V. I. Arnold (two hours video, in French).
• 3Blue1Brown
• MIT applets

Links to recent teaching material

• Mathématiques pour l'ingénieur (lecture notes, tests, exercice sheets, in French)
• Videos (replacing lectures during spring 2020 Covid-19 lockdown, in French):
  • Déterminant (cours et tests)
  • Valeurs et vecteurs propres (cours et tests)
  • Systèmes dynamiques linéaires (cours)
  • Division euclidienne des polynômes, décomposition en éléments simples des fractions rationnelles (cours et tests)
  • Calculs de primitives et d'intégrales (cours et tests)

Previous academic years

I taught on the following subjects, at various undergraduate and graduate levels:

• nonlinear dynamics of differential and/or partial diffential equations or systems, bifurcations;
• probability theory, random walks, mathematical finance;
• Markov chains, game theory, elementary statistics, modelling in general;
• differential geometry;
• general undergraduate mathematics.

A few additional links

Just a few contents I enjoy, no guarantee of originality.

• A sequence of videos reaching a master's degree level in dynamical systems with zero prerequisites (many languages available).
• Stereographic projection is conformal, explained by Étienne Ghys… what else? (in French).
• Universal covering of SO(3) is degree two: how to feel it in your own body (a standard), and an explanation.
• A certain idea of 1.412²¹⁹ (quite common, but how to get tired of it?).
• How to trick a topologist.
• An advocacy to incorporate the concept of cusp and Whitney's singularity theory in elementary school programs.
• Why you will never be able to hair you (a standard).
• The picture where saddles, nodes, and focuses will never look the same again.
• A math youtuber and one of her videos.
• An idea for a birthday gift (and others).
• Bulk: frequency decomposition of a function | Gram-Schmidt orthonormalization process | eigenmodes of Laplace operator | vibration and wave phenomena | Jonathan Mitchell youtube channel (undergraduate mathematics).