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Publications

Pré-publications récentes

  • Arnaud Debussche, Charles-Edouard Bréhier. Kolmogorov equations and weak order analysis for SPDEs with nonlinear diffusion coefficient, Prepublication (2017). PDF
  • Arnaud Debussche, Hendrik Weber. The Schrödinger equation with spatial white noise potential, Prepublication (2017). PDF
  • Fabien Caubet, Thibaut Deheuvels, Yannick Privat. Optimal location of resources for biased movement of species: the 1D case, Prepublication (2017). PDF
  • Sandra Cerrai, Arnaud Debussche. Large deviations for the dynamic Φ^{2n}_d model, Prepublication (2017). PDF
  • Arnaud Debussche, Julien Vovelle. Approximation - diffusion in stochastically forced kinetic equations, Prepublication (2017). PDF
  • Arnaud Debussche, Jörg Martin. Solution to the stochastic Schrödinger equation on the full space, Prepublication (2017). PDF
  • Anne de Bouard, Arnaud Debussche, Reika Fukuizumi. Long time behavior of GP equation at positive temperature, Prepublication (2017). PDF
  • Arnaud Debussche, Mac Jugal Nguepedja Nankep. A law of large number in the supremum norm for a multi scale stochastic spatial gene network, Prepublication (2017). PDF

  • Sandra Cerrai, Arnaud Debussche. Large deviations for the two-dimensional stochastic Navier-Stokes equation with vanishing noise correlation, Prepublication (2016). PDF
  • Ismael Bailleul, Arnaud Debussche, Martina Hofmanova. Quasilinear generalized parabolic Anderson model equation, Prepublication (2016). PDF

Publications 2017

  • Anne de Bouard, Arnaud Debussche, Reika Fukuizumi, Romain Poncet. Fluctuations and temperature effects in Bose-Einstein condensation, ESAIM: proceedings and surveys, A paraitre (2017). PDF

Publications 2016

  • Arnaud Debussche, Martina Hofmanova, Julien Vovelle. Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case, Annals of Probability, 44, 3, pp. 1916-1955 (2016). PDF
  • Arnaud Debussche, Sylvain De Moor, Julien Vovelle. Diffusion limit for the radiative transfer equation perturbed by a Markovian process, Asymptotic Analysis, vol. 98, no. 1-2, pp. 31-58 (2016). PDF
  • Giuseppe Da Prato, Arnaud Debussche. Estimate for P_tD for the stochastic Burgers equation, Annales de l'IHP, Proba-Stat, Vol. 52, No 3, pp. 1248-1258 (2016). PDF
  • Arnaud Debussche, Giuseppe Da Prato. An integral inequality for the invariant measure of a stochastic reaction-diffusion equation, Journal of Evolution Equations, à paraitr (2016). PDF
  • Yves Achdou, Thibaut Deheuvels. A transmission problem across a fractal self-similar interface, SIAM Multiscale Model. Simul., 14, 2, pp. 708-736 (2016). PDF

Publications 2015

  • Gérard Biau, Benoît Cadre, Quentin Paris. Cox Process Functional Learning, Stat. Inference Stoch. Process (2015). PDF
  • Arnaud Debussche, Julien Vovelle. Invariant measure of scalar first-order conservation laws with stochastic forcing, Probability Theory and Related Fields, 163, 3, pp. 575-611 (2015). PDF
  • Radoin Belaouar, Anne de Bouard, Arnaud Debussche. Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion, Stochastic Partial Differential Equations: Analysis and Computations, 3, 1, pp. 103-132 (2015). PDF
  • Arnaud Debussche, Sylvain De Moor, Martina Hofmanova. A regularity result for quasilinear stochastic partial differential equations of parabolic type, SIAM Journal on Mathematical Analysis, 47, 2, pp. 1590-1614 (2015). PDF
  • Arnaud Debussche, Sylvain De Moor, Julien Vovelle. Diffusion limit for the radiative transfer equation perturbed by a Wiener process, Kinetic and Related Models, 8, 3, pp. 467-492 (2015). PDF
  • Benoît Cadre, Lionel Truquet. Nonparametric regression estimation onto a Poisson point process covariate, ESAIM Probab. Statist. (2015). PDF

Publications 2014

  • Arnaud Debussche, Marco Romito. Existence of densities for the 3D Navier--Stokes equations driven by Gaussian noise, Probability Theory and Related Fields, 158, 3-4, pp. 575-596 (2014). PDF
  • Assyr Abdulle and Gilles Vilmart. Fully discrete analysis of the finite element heterogeneous multiscale method for nonmonotone elliptic homogenization problems,, Math. Comp., 83, pp. 513-536 (2014). PDF
  • Philippe Chartier, Joseba Makazaga, Ander Murua, and Gilles Vilmart. Multi-revolution composition methods for highly oscillatory differential equations, Numerische Mathematik (published online) (2014). [DOI] PDF
  • Assyr Abdulle, Yun Bai, and Gilles Vilmart. Reduced basis finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems, to appear in DCDS-S (2014). PDF
  • Assyr Abdulle, Yun Bai, and Gilles Vilmart. An offline-online homogenization strategy to solve quasilinear two-scale problems at the cost of one-scale problems, to appear in Int. J. Numer. Meth. Engng (2014). PDF
  • Virginie Bonnaillie-Noël and Corentin Léna. Spectral minimal partitions of a sector, Discrete Contin. Dyn. Syst. Ser. B, 19, 1, pp. 27-53 (2014). PDF
  • Assyr Abdulle, Gilles Vilmart, and Konstantinos Zygalakis. High order numerical approximation of the invariant measure of ergodic SDEs, to appear in SIAM J. Numer. Anal. (2014). PDF
  • Gilles Vilmart. Weak second order multi-revolution composition methods for highly oscillatory stochastic differential equations with additive or multiplicative noise, to appear in SIAM J. Sci. Comput. (2014). PDF
  • Yves Achdou, Thibaut Deheuvels and Nicoletta Tchou. Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries, Potential Anal., 40, 4, pp. 345-362 (2014). PDF
  • Thibaut Deheuvels. Sobolev extension property for tree-shaped domains with self-contacting fractal boundary, Ann. Scuola Norm. Sup. Pisa (2014). PDF
  • Giuseppe Da Prato, Arnaud Debussche. Existence of the Fomin derivative of the invariant measure of a stochastic reaction--diffusion equation, Proceeding du RIMS Workshop on Mathematical Analysis of Viscous Incompressible Fluid, Kyoto (2014). PDF

Publications 2013

  • Maitine Bergounioux and Yannick Privat. Shape optimization with Stokes constraints over the set of axisymmetric domains, SIAM J. Control Optim, 51, 1, pp. 599--628 (2013). PDF
  • Arnaud Debussche. Ergodicity results for the stochastic Navier-Stokes equations: an introduction, Lecture Notes in Math., Springer, Heidelberg, 2073, pp. 23-108 (2013). PDF
  • Assyr Abdulle, Gilles Vilmart, and Konstantinos C. Zygalakis. Weak second order explicit stabilized methods for stiff stochastic differential equations, SIAM J. Sci. Comput., 35, pp. 1792-1814 (2013). PDF
  • Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Optimal observation of the one-dimensional wave equation, J. Fourier Anal. Appl., 19, 3, pp. 514--544 (2013). PDF
  • Yannick Privat, Emmanuel Trélat and Enrique Zuazua. Optimal location of controllers for the one-dimensional wave equation, Annales de l'Institut Henri Poincare (C) Non Linear Analysis (2013). PDF
  • Arnaud Debussche, Michael Hogele, Peter Imkeller. The dynamics of nonlinear reaction-diffusion equations with small heavy-tailed Lévy noise, Lecture Notes in Mathematics, Springer Verlag, 2085 (2013). PDF
  • Assyr Abdulle and Gilles Vilmart. PIROCK: a swiss-knife partitioned implicit-explicit orthogonal Runge-Kutta Chebyshev integrator for stiff diffusion-advection-reaction problems with or without noise, J. Comp. Phys., 242, pp. 869-888 (2013). [DOI] PDF
  • Assyr Abdulle, Gilles Vilmart, and Konstantinos C. Zygalakis. Mean-square A-stable diagonally drift-implicit integrators of weak second order for stiff It�? stochastic differential equations, BIT Numerical Mathematics, 53, pp. 827-840 (2013). PDF
  • Arnaud Debussche, Nicolas Fournier. Existence of densities for stable-like driven SDE's with Hölder continuous coefficients., Journal of Functional Analysis, 264, 8, pp. 1757-1778 (2013). PDF
  • Julia Charrier, Arnaud Debussche. Weak truncation error estimates for elliptic PDEs with lognormal coefficients, Stochastic Partial Differential Equations: Analysis and Computations, 1, 1, pp. 63-93 (2013). PDF
  • Benoît Cadre, Bruno Pelletier et Pierre Pudlo. Estimation of density level sets with a given probability content, Journal of Nonparametric Statistics, pp. 261-282 (2013). PDF
  • Benoît Cadre. Supervised classification of diffusion paths, Math. Methods Statist., pp. 213-235 (2013). PDF
  • Virginie Bonnaillie-Noël and Marc Dambrine. Interactions between moderately close circular inclusions: the Dirichlet-Laplace equation in the plane, To appear in Asymptot. Anal., pp. 25 p. (2013). PDF
  • Virginie Bonnaillie-Noël and Bernard Helffer. On spectral minimal partitions: the disk revisited, Annals of the University of Bucharest, XIe Colloque Franco-Roumain de Matématiques Appliquées, Bucharest, pp. 22 p. (2013). PDF
  • Charles-Edouard Bréhier. Approximation of the invariant measure with an Euler scheme for Stochastic PDEs driven by Space-Time White Noise, Potential Analysis (2013). [DOI]
  • Charles-Edouard Bréhier. Analysis of a HMM time-discretization scheme for a system of Stochastic PDEs, Siam Journal on Numerical Analysis, 51, 2, pp. 1185-1210 (2013). [DOI]

Publications 2012

  • Benoît Cadre et Céline Vial. Statistique mathématique - Cours et exercices corrigés, Ellipse - Livre, pp. 196 pages (2012).
  • Dieter Bothe and Michel Pierre. The instantaneous limit for reaction-diffusion systems with a fast reversible reaction, Discrete Contin. Dyn. Syst., 5, 1, pp. 49-59 (2012). PDF
  • Ludovic Gouden�?ge, Daniel Martin, Grégory Vial. High order finite element calculations for the deterministic Cahn-Hilliard equation, J. Sci. Comput., 52, 2, pp. 294-321 (2012). PDF
  • Antoine Laurain and Yannick Privat. On a Bernoulli problem with geometric constraints, ESAIM: Control, Optimisation and Calculus of Variations, 18, 01, pp. 157-180 (2012). PDF
  • Sergio Albeverio, Arnaud Debussche, Lihu Xu. Exponential mixing of the 3D stochastic Navier-Stokes equations driven by mildly degenerate noises, Applied Mathematics and Optimization journal, 66, 2, pp. 273-308 (2012). PDF
  • Stéphane Labbé, Yannick Privat et Emmanuel Trélat. Stability properties of steady-states for a network of ferromagnetic nanowires, J. Diff. Equations, 154, 3, pp. 1709-1728 (2012). PDF
  • Benoît Cadre et Quentin Paris. On Hölder fields clustering, TEST, pp. 301-316 (2012). PDF
  • Yannick Fischer, Benjamin Marteau and Yannick Privat. Some inverse problems around the tokamak Tore-Supra, Commun. Pure Appl. Anal., 11, 6, pp. 2327--2349 (2012). PDF
  • Alina Crudu, Arnaud Debussche, Aurélie Muller, Ovidiu Radulescu. Convergence of stochastic gene networks to hybrid piecewise deterministic processes, The Annals of Applied Prob., 22, 5, pp. 1822-1859 (2012). [DOI] PDF
  • Arnaud Debussche, Julien Vovelle. Diffusion limit for a stochastic kinetic problem, Commun. Pure Appl. Anal., 11, 6, pp. 2305-2326 (2012). PDF
  • Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam, Mohammed Ziane. Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise, Nonlinearity, 25 (2012). PDF
  • Arnaud Debussche, Erwan Faou. Weak backward error analysis for SDEs, SIAM Journal on Numerical Analysis, 43, 3, pp. 1735-1752 (2012). PDF
  • Clément Canc�?s et Michel Pierre. An Existence Result For Multidimensional Immiscible Two-Phase Flows With Discontinuous Capillary Pressure Field, SIAM Journal on Mathematical Analysis (2012). PDF
  • Michel Pierre et Julien Vovelle. A kinetic approach in nonlinear parabolic problems with L1-data, Journal for Analysis and its Applications (ZAA) (2012). PDF
  • Jimmy Lamboley, Michel Pierre, Arian Novruzi. Regularity and singularities for optimal convex shapes in the plane, Archive of Rational Mechanics and Analysis (2012). PDF
  • Thomas Lepoutre, Michel Pierre, Guillaume Rolland. GLOBAL WELL-POSEDNESS OF A CONSERVATIVE RELAXED CROSS DIFFUSION SYSTEM, SIAM Journal on Mathematical Analysis (2012). PDF
  • Assyr Abdulle, David Cohen, Gilles Vilmart, and Konstantinos C. Zygalakis. High order weak methods for stochastic differential equations based on modified equations, SIAM J. Sci. Comput., 34, pp. 1800-1823 (2012). [DOI] PDF
  • Martinus H. V. Werts, Vincent Raimbalt, Rozenn Texier-Picard, Rémi Poizat, Olivier Français, Laurent Griscom, Julien E. G. Navarro. Quantitative full-colour transmitted light microscopy and dyes for concentration mapping and measurement of diffusion coefficients in microfluidic architectures, Lab Chip, 12, pp. 808-820 (2012). [DOI] PDF
  • Yannick Privat, Emmanuel Trélat and Enrique Zuazua. On the best observation of wave and Schrödinger equations in quantum ergodic billiards, Proceedings of the 39th "Days on PDEs" (2012). PDF
  • Dieter Bothe, Michel Pierre and Guillaume Rolland. Cross-Diffusion Limit for a Reaction-Diffusion System with Fast Reversible Reaction, Communications in P.D.E., 37, pp. 1940-1966 (2012). PDF
  • Assyr Abdulle and Gilles Vilmart. Coupling heterogeneous multiscale FEM with Runge-Kutta methods for parabolic homogenization problems: a fully discrete space-time analysis, Math. Models Methods Appl. Sci., 22, pp. 1250002 (40 pages) (2012). [DOI] PDF
  • Assyr Abdulle and Gilles Vilmart. A priori error estimates for finite element methods with numerical quadrature for nonmonotone nonlinear elliptic problems, Numer. Math., 121, pp. 397-431 (2012). [DOI] PDF
  • Virginie Bonnaillie-Noël, Delphine Brancherie, Marc Dambrine and Grégory Vial. Artificial boundary conditions to compute correctors in linear elasticity, Numerical Analysis and Applications, 5, 2, pp. 129-135 (2012). PDF
  • Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff and Nicolas Raymond. Discrete spectrum of a model Schrödinger operator on the half-plane for Neumann conditions, Z. Angew. Math. Phys., 63, 2, pp. 203-231 (2012). PDF
  • Virginie Bonnaillie-Noël. Minimal and spectral partitions, Oberwolfach Mini-Workshop: Boundary Value Problems and Spectral Geometry, Oberwolfach, 9, 1, pp. 48-49 (2012). [DOI] PDF
  • Charles-Edouard Bréhier. Strong and weak orders in averaging for SPDEs, Stochastic Processes and their Applications, 122, 7, pp. 2553-2593 (2012). [DOI]
  • Yves Achdou, Thibaut Deheuvels and Nicoletta Tchou. JLip versus Sobolev spaces on a class of self-similar fractal foliages, J. Math. Pures Appl., 97, 2, pp. 142-172 (2012). PDF

Publications 2011

  • Arnaud Debussche. Weak approximation of stochastic partial differential equations: the nonlinear case, Math of Comp, 80, pp. 89-117 (2011). PDF
  • Arnaud Debussche, Ludovic Goudenege. Stochastic Cahn-Hilliard equation with double singular nonlinearities and two reflections, SIAM Journal on Mathematical Analysis, 43, 3, pp. 1473-1494 (2011). PDF
  • Xavier Dubois de la Sabloni�?re, Benjamin Mauroy and Yannick Privat. Shape minimization of the dissipated energy in dyadic trees, Discrete Contin. Dyn. Syst. (B), 16, 3, pp. 767-799 (2011). PDF
  • Virginie Bonnaillie-Noël and Bernard Helffer. Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square and application to minimal partitions, Exp. Math., 30, 3, pp. 304--322 (2011). PDF
  • Arnaud Debussche, Ying Hu, Gianmario Tessitore. Ergodic BSDEs under weak dissipative assumptions, Stochastic Processes and Applications, 121, 3, pp. 407-426 (2011). PDF
  • Arnaud Debussche, Nathan Glatt-Holtz, Roger Temam. Local Martingale and Pathwise Solutions for an Abstract Fluids Model, Physica D, 14-15, pp. 1123-1144 (2011). PDF
  • Arnaud Debussche, Michael Hogele, Peter Imkeller. Asymptotic first exit times of the Chafee-Infante equation with small heavy tailed noise, Electronic Communications in Probability, 16, pp. 213-225 (2011). PDF
  • Arnaud Debussche, Yoshio Tsustumi. 1D quintic nonlinear equation with white noise dispersion, Journal de Mathématiques Pures et Appliquées, 96, pp. 363-376 (2011). PDF
  • Ilarià Fragala, Filippo Gazzola, Michel Pierre. On an isoperimetric inequality for capacity conjectured by Pólya and Szegö O, Journal of Differential Equations, 250, 3, pp. 1500-1520 (2011). PDF
  • Assyr Abdulle and Gilles Vilmart. The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods, C. R. Acad. Sci. Paris, Ser. I, 349, pp. 1041-1046 (2011). [DOI]
  • Virginie Bonnaillie-Noël, Monique Dauge, Nicolas Popoff and Nicolas Raymond. Eigenpairs of a modal Schrödinger operator with Neumann boundary conditions, Waves 2011, 170, pp. 3 p. (2011). PDF
  • Virginie Bonnaillie-Noël, Marc Dambrine and Grégory Vial. Small defects in mechanics, AIP Conference Proceedings ICNAAM 2011, 1389, 1416-1424 (2011). PDF
  • Virginie Bonnaillie-Noël, Delphine Brancherie, Marc Dambrine, Frédéric Hérau, Sébastien Tordeux and Grégory Vial. Multiscale expansion and numerical approximation for surface defects, In CANUM 2010, 40e CongrÚs d'Analyse Numérique, ESAIM Proc., 33, pp. 22-35 (2011). PDF

Publications 2010

  • Sébastien Tordeux, Monique Dauge and Grégory Vial. Selfsimilar perturbation near a corner: Matching and Multiscale expansions, Around the Research of Vladimir Maz'ya, International Mathematical Series, 12, pp. 95-134 (2010). PDF
  • Virginie Bonnaillie-Noël, Bernard Helffer and Grégory Vial. Numerical simulations for nodal domains and spectral minimal partitions, ESAIM: Control, Optimisation and Calculus of Variations, 16, 1, pp. 221-246 (2010). PDF
  • Gérard Biau, Benoît Cadre, Laurent Rouvi�?re. Statistical analysis of k-nearest neighbor collaborative recommendation, Ann. Statist., pp. 1568-1592 (2010). PDF
  • Virginie Bonnaillie-Noël, Marc Dambrine, Frédéric Hérau and Grégory Vial. On generalized Ventcel's type boundary conditions for Laplace operator in a bounded domain., SIAM J. Math. Anal., 42, 2, pp. 931-945 (2010). PDF
  • Benoît Cadre et Qian Dong. Dimension reduction in regression estimation with nearest neighbor, Electron. J. Statist., pp. 436-460 (2010). PDF
  • Arnaud Debussche, Julien Vovelle. Scalar conservation laws with stochastic forcing, Journal of Functional Analysis, 259, pp. 1014-1042 (2010). PDF
  • Giuseppe Da Prato, Arnaud Debussche. Asymptotic behavior of stochastic PDEs with random coefficients, Discrete and Continuous Dynamical Systems, Series A, 27, 4, pp. 1553-1570 (2010). PDF
  • Dieter Bothe and Michel Pierre. Quasi-steady-state approximation for a reaction-diffusion with fast intermediate, J. Math. Ana. Appl., 368, pp. 120-132 (2010). PDF
  • Michel Pierre. Global Existence in Reaction-Diffusion Systems with Control of Mass: A Survey, Milan J. Math, 78, 2, pp. 417-455 (2010). PDF
  • Noureddine Alaa, Nadia Idrissi Fatmi and Michel Pierre. Quasilinear elliptic degenerate equations with nonlinearity in the gradient and L^1 data, International Journal of Mathematics and Statistics, 7, W10 (2010).
  • Michel Pierre and Grégory Vial. Best design for a fastest cells selecting process, Discrete Contin. Dyn. Syst., To appear (2010). PDF
  • Virginie Bonnaillie-Noël, Delphine Brancherie, Marc Dambrine, Sébastien Tordeux and Grégory Vial. Effect of micro-defects on structure failure : coupling asymptotic analysis and strong discontinuity approach, Eur. J. Comput. Mech., 19, 1-3, pp. 165-175 (2010). PDF
  • Anne de Bouard, Arnaud Debussche. The nonlinear Schrodinger equation with white noise dispersion, Journal of Functional Analysis, 259, pp. 1300-1321 (2010). PDF
  • Antoine Henrot and Yannick Privat. What is the optimal shape of a pipe ?, Arch. Rat. Mech. Analysis, 196, 1, pp. 281-302 (2010). PDF
  • Yannick Privat and Mario Sigalotti. The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent, ESAIM Control Optim. Calc. Var., 16, 3, pp. 794-805 (2010). PDF

Publications 2009

  • Virginie Bonnaillie-Noël, Francis Nier and Yassine Patel. Far from equlibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II, J. Math. Soc. Japan, 61, 1, pp. 65-106 (2009). PDF
  • Arnaud Debussche, Jacques Printems. Weak order for the discretization of the stochastic heat equation, Math of Comp, 78, 266, pp. 845-863 (2009). PDF
  • Virginie Bonnaillie-Noël, Marc Dambrine, Sébastien Tordeux and Grégory Vial. Interactions between moderately close inclusions for the Laplace equation, Mathematical Models and Methods in Applied Sciences, 10, 19, pp. 1853-1882 (2009). PDF
  • Virginie Bonnaillie-Noël, Ali Faraj and Francis Nier. Simulation of resonant tunneling heterostructures: numerical comparison of a complete Schrödinger-Poisson system and a reduced nonlinear model, Journal of Computational Electronics, 8, 1, pp. 11-18 (2009). PDF
  • Michel Pierre and Rozenn Texier-Picard. Global Existence for Degenerate Quadratic Reaction-Diffusion Systems, Annales Institut Henri Poincaré (C) Nonlinear Analysis, 26, pp. 1553-1568 (2009). [DOI] PDF
  • Ludovic Gouden�?ge. Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection, Stochastic Processes and their applications, Rennes, 119, 10, pp. 3516-3548 (2009). [DOI] PDF
  • Arnaud Debussche, Julien Vovelle. Long-time behavior in scalar conservation laws, Diff. and Int. Eq., 22, 3-4, pp. 225-238 (2009). PDF
  • Arnaud Debussche, Erwan Faou. Modified energy for split-step methods applied to the linear Schrödinger equation, SIAM Journal on numerical analysis, 47, 5, pp. 3705-3719 (2009). PDF
  • Anne de Bouard, Arnaud Debussche. Soliton dynamics for the Korteweg-de Vries equation with multiplicative homogeneous noise, Electron. Journ. Probab., 14, 58, pp. 1727-1744 (2009). PDF
  • Virginie Bonnaillie-Noël, Bernard Helffer and Thomas Hoffmann-Ostenhof. Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions, Journal of Physics A: Mathematical and Theoretical, 42, 18, pp. 185203 (2009). PDF
  • G. Biau, B. Cadre, B. Pelletier, D. Mason. Asymptotic Normality in Density Support Estimation, Electronic Journal of Probability, pp. 2617-2635 (2009). PDF
  • Alina Crudu, Arnaud Debussche, Ovidiu Radulescu. Hybrid stochastic simplifications for multiscale gene networks, BMC Systems Biology, 3:89 (2009).
  • Anne de Bouard, Arnaud Debussche. On a stochastic Korteweg-de Vries equation with homogeneous noise, Sémin. équ. Dériv. Partielles, Ecole Polytech. (2009).
  • Ilaria Fragalà, Filippo Gazzola, Jimmy Lamboley and Michel Pierre. Counterexamples to symmetry for partially overdetermined elliptic problems, Analysis, 20, pp. 85-93 (2009). PDF
  • Clément Canc�?s, Thierry Gallouët and Alessio Porretta. Two-phase flows involving capillary barriers in heterogeneous porous media, Interfaces and Free Boundaries, 11, pp. 239-258 (2009). PDF
  • Clément Canc�?s. Finite volume scheme for two-phase flow in heterogeneous porous media involving capillary pressure discontinuities, M2AN, 43, 973-1001 (2009). PDF
  • Yannick Privat. The optimal shape of a dendrite sealed at both ends, Annales de l'Institut Henri Poincare (C) Non Linear Analysis, 26, 6, pp. 2317-2333 (2009). PDF

Publications 2008

  • Leila Rahmani and Grégory Vial. Reinforcement of a thin plate by a thin layer, Math. Meth. Appl. Sci., 31, pp. 315-338 (2008). PDF
  • Virginie Bonnaillie-Noël, Francis Nier and Yassine Patel. Far from equlibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells I, Ann. Inst. H. Poincaré Anal. Non Linéaire, 25, pp. 937-968 (2008). PDF
  • Giuseppe Da Prato, Arnaud Debussche. 2D Stochastic Navier-Stokes equations with a time-periodic forcing term, Journal of Dynamics and Differential Equations, 20, 2, pp. 301-335 (2008). PDF
  • Arnaud Debussche, Eric Gautier. Small noise asymptotic of the timing jitter in soliton transmission, The Annals of Applied Probability, 18, 1, pp. 178-208 (2008). PDF
  • Gérard Biau, Benoît Cadre, Bruno Pelletier. Exact Rates in Density Support Estimation, J. Multivariate Anal. (2008). PDF
  • Gérard Biau, Benoît Cadre, Luc Devroye, Laszlo Gyorfi. Strongly Consistent Model Selection for Densities, TEST (2008). PDF
  • Giuseppe Da Prato, Arnaud Debussche. On the martingale probem associated to the 2D and 3D Stochastic Navier-Stokes equations, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 19, 3, pp. 247-264 (2008). PDF
  • Christophe Abraham, Benoît Cadre. Concentration of Posterior Distribution with Misspecified Models, Pub. Inst. Stat. Univ. Paris, 52 (2008). PDF
  • Delphine Brancherie, Marc Dambrine, Grégory Vial, and Pierre Villon. Effect of surface defects on structure failure: a two-scale approach, Journal of Computational Mechanics, 17, 5-7, pp. 613-624 (2008). PDF

Mise à jour le 23 juin 2017