- E-mail:
Visiting address: Ecole Normale Supérieure 
Room R14-2
24 rue Lhomond / 8 rue Erasme
75005 Paris
Fax: +33 1 44 32 27 27
Research interests
- Nonlinear and Stochastic Reduction: Markovian and non-Markovinan stochastic closures. Parameterizing manifolds and small-scale parameterizations in spatially extended systems. Ruelle-Pollicott resonances and reduced mixing spectrum.
- Random Dynamical Systems: Stochastic invariant manifolds and their numerical approximations. Random attractors and time-dependent invariant measures arising in dissipative stochastic systems.
- Data-Driven Stochastic Modeling: Data-adaptive harmonic spectra and multilayer Stuart-Landau models.
- Optimal Control of Evolution Equations: Reduced-order models for the optimal control of PDEs and delay differential equations: analysis and computation.
- Geophysical Fluid Dynamics and Climate Dynamics: Natural climate variability. Low-order stochastic modelling of the El Niño-Southern Oscillation. Prediction of stochastic systems. Application of the geometric and ergodic theory of dynamical systems to climate dynamics.
Teaching
- Atelier "Modelisation: reserves marines" (Workshop "Modelling: marine reserves")
- Introduction to bifurcation theory and application to mathematical ecology.
Research Monographs
- M. D. Chekroun, H. Liu, and S. Wang (2015): Approximation of Stochastic Invariant Manifolds: Stochastic Manifolds for Nonlinear SPDEs I. SpringerBriefs in Mathematics. Springer, New York.
- M. D. Chekroun, H. Liu, and S. Wang (2015): Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations: Stochastic Manifolds for Nonlinear SPDEs II. SpringerBriefs in Mathematics, Springer, New York.
Publications
- “Data-adaptive harmonic decomposition and stochastic modeling of Arctic sea ice.” Advances in Nonlinear Geosciences, A. Tsonis, 179-205. Springer, 179-205. Publisher’s Version
- . (2018) “Pullback attractor crisis in a delay differential ENSO model.” Advances in Nonlinear Geosciences, A. Tsonis, 1-33. Springer, 1-33. Publisher’s version
- (2017)“Data-adaptive harmonic spectra and multilayer Stuart-Landau models.” Chaos: An Interdisciplinary Journal of Nonlinear Science 27 (9): 093110. Publisher’s version
- (2017) “The emergence of fast oscillations in a reduced primitive equation model and its implications for closure theories.” Computers & Fluids 151: 3-22. Publisher’s Version
- (2017) “Inverse stochastic-dynamic models for high-resolution Greenland ice-core records.” Earth System Dynamics Discussions 2017: 1–28. Publisher’s Version
- (2017) “Galerkin approximations of nonlinear optimal control problems in Hilbert spaces.” Electronic Journal of Differential Equations 2017 (189): 1-40. Publisher’s version
- (2016) “Post-processing finite-horizon parameterizing manifolds for optimal control of nonlinear parabolic PDEs.” 2016 IEEE 55th Conference on Decision and Control (CDC), 1411-1416. Las Vegas, USA: IEEE, 1411-1416. Publisher’s version
- M.D. Chekroun, E. Park, and R. Temam (2016): The Stampacchia Maximum Principle for Stochastic Partial Differential Equations and Applications, Journal of Differential Equations, Vol. 260, Issue 3, pp. 2926–2972. DOI:10.1016/j.jde.2015.10.022
- M.D. Chekroun, M. Ghil, H. Liu, and S. Wang (2016): Low-Dimensional Galerkin Approximations of Nonlinear Delay Differential Equations, Discrete and Continuous Dynamical Systems (DCDS-A), Vol. 36 (6), pp. 4133-4177.
- M.D Chekroun and H. Liu (2016): Post-processing Finite-Horizon Parameterizing Manifolds for Optimal Control of Nonlinear Parabolic PDEs. The 55th IEEE Conference on Decision and Control (CDC), (2016), Las Vegas, USA.
- . 2016. “Comment on ``Nonparametric forecasting of low-dimensional dynamical systems’’.” Phys. Rev. E 93. American Physical Society: 036201. Publisher’s Version
- (2016) “A numerical framework to understand transitions in high-dimensional stochastic dynamical systems.” Dynamics and Statistics of the Climate System 1 (1): 1-27.
- (2016) “Diversity, nonlinearity, seasonality and memory effect in ENSO simulation and prediction using empirical model reduction.” Journal of Climate 29 (5): 1809–1830. Publisher’s Version
- (2016) “Exploring the pullback attractors of a low-order quasigeostrophic ocean model: the deterministic case.” Journal of Climate 29 (11): 4185-4202. Publisher’s Version
- D. Kondrashov, M.D. Chekroun, and M. Ghil (2015): Data-driven non-Markovian closure models, Physica D, Volume 297, pp. 33—55.
- . (2015) “Finite-Horizon Parameterizing Manifolds, and Applications to Suboptimal Control of Nonlinear Parabolic PDEs.” Acta Applicandae Mathematicae 135 (1): 81–144. Publisher’s Version
- A.Bousquet, M.D. Chekroun, Y. Hong, R. Temam, and J. Tribbia (2015): Numerical simulations of the humid atmosphere above a mountain, Mathematics of Climate and Weather Forecasting, Vol. 1, Issue 1, 96—126.
- M. D. Chekroun, J. D. Neelin, D. Kondrashov, J. C. McWilliams, and M. Ghil (2014): Rough parameter dependence in climate models and the role of Ruelle-Pollicott resonances, Proc. Natl. Acad. Sci USA, Vol. 111, No. 5, 1684—1690.
- L.Roques, M.D. Chekroun, M. Cristofol, S. Soubeyrand, and M. Ghil (2014): Parameter estimation for energy balance models with memory, Phil. Trans. Roy. Soc. A, vol. 470, p. 20140349.
- M.D. Chekroun, and J. Roux (2013): Homeomorphisms group of normed vector spaces: The conjugacy problem and the Koopman operator, Discrete and Continuous Dynamical Systems (DCDS A), 33 (9) 3957—3950. Arxiv link: arxiv.org/abs/1006.1928v3
- K. Kondrashov, M.D. Chekroun, A.W. Robertson, and M. Ghil (2013): Low-order stochastic model and “past-noise forecasting” of the Madden-Julian oscillation, Geophys. Res. Letters, Vol. 40, No. 19, 5303—5310.
- M.D. Chekroun, and N.E. Glatt-Holtz (2012): Invariant measures for dissipative dynamical system: Abstract results and applications, Commun. in Mathematical Physics, 316, 723–761. Arxiv link: http://arxiv.org/abs/1110.4354
- M.D. Chekroun, E. Simonnet, and M. Ghil (2011): Stochastic climate dynamics: Random attractors and time-dependent invariant measures, Physica D 240, 1685–1700.
- M.D. Chekroun, D. Kondrashov and M. Ghil (2011): Predicting stochastic systems by noise sampling, and application to the El Niño-Southern Oscillation, Proc. Natl. Acad. Sci USA, Vol. 108, No. 29, 11766—11771.(pdf)
- M.D. Chekroun, F. Di Plinio, N.E. Glatt-Holtz, and V. Pata (2011): Asymptotics of the Coleman-Gurtin model.Discrete and Continuous Dynamical Systems, Series S, 4 (2), 351-369. Special Issue on Thermomechanics and Phase Change; Eds. A. Miranville & U. Stefanelli. Arxiv link: arxiv.org/abs/1006.2579
- L.Roques, and M.D. Chekroun (2011): Probing chaos and biodiversity in a simple competition model, Ecological Complexity, 8 (1), 98-104. HAL link: hal.archives-ouvertes.fr/hal-00511225_v1/
- L.Roques, and M.D. Chekroun (2010): Does reaction-diffusion support the duality of fragmentation effect?, Ecological Complexity, 7 (1), 100–106. Arxiv link: arxiv.org/abs/0907.0990.
- M. Ghil, M.D. Chekroun, and E. Simonnet (2008): Climate dynamics and fluid mechanics: Natural variability and related uncertainties, Invited su rvey paper for Special Issue on The Euler Equations: 250 Years On, Physica D: Nonlinear phenomena, 237, 2111—2126. Arxiv link: arxiv.org/abs/1006.2864
- L. Roques and M.D. Chekroun (2007): On Population resilience to external perturbations. SIAM Journal on Applied Mathematics, 68 (1) 133—153. Arxiv link: arxiv.org/abs/1006.2576
- M.D. Chekroun and L.J. Roques (2006): Models of population dynamics under the influence of external perturbations: mathematical results, C. R. Acad. Sci. Paris, Ser. I, 343: 307-310. Arxiv link: arxiv.org/abs/1006.2574
- M.D. Chekroun, M. Ghil, J. Roux and F. Varadi (2006): Averaging of time-periodic systems without a small parameter. Discrete and Continuous Dynamical Systems (DCDS A) 14(4):753-782. Arxiv link: arxiv.org/abs/1006.2789
