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Mickael D CHEKROUN

E-mail :

Visiting address : Ecole Normale Supérieure

Room R14-2 (level 0)
24 rue Lhomond / 8 rue Erasme
75005 Paris

Fax : +33 1 44 32 27 27

Deterministic dynamical systems - Diffeomorphisms group and conjugacy problems. Topological equivalence of flows and diffeomorphisms. Averaging methods in ordinary differential equations. Infinite dimensional dissipative dynamical systems.
Random dynamical systems - Random attractors and time-dependent invariant measures arising in dissipative stochastic systems.
Population dynamics and mathematical ecology - Effect of environmental heterogeneity on population resilience to external perturbations. Role of chaos in biodiversity.
Geophysical fluid dynamics and climate dynamics - Application of geometric and ergodic theory of dynamical systems to climate dynamics. Low-frequency variability in climate dynamics. Prediction of El Niño-Southern Oscillations by dynamical and statistical methods.

Atelier "Modelisation : reserves marines" (Workshop "Modelling : marine reserves")
Introduction to bifurcation theory and application to mathematical ecology.

M.D. Chekroun, and N.E. Glatt-Holtz (2012) : Invariant measures for dissipative dynamical system : Abstract results and applications, Comm. in Mathematical Physics, (DOI) 10.1007/s00220-012-1515-y. Arxiv link : http://arxiv.org/abs/1110.4354

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 (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, 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.

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

M.D. Chekroun, and J. Roux (2012) : Homeomorphism groups of normed vector spaces : The conjugacy problem and the Koopman operator, Discrete and Continuous Dynamical Systems (DCDS A), accepted, Arxiv link : arxiv.org/abs/1006.1928

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

M.D. Chekroun, H. Liu, and S. Wang (2012) : Random center manifold reduction for stochastic evolution equations with linear multiplicative noise. Submitted.
M.D. Chekroun (2011) : On existence of structurally unstable family of semilinear parabolic problems, submitted.

L. Roques, M. D. Chekroun, M. Cristofol, S. Soubeyrand, and M. Ghil (2011) : Parameter estimation for energy balance models with memory, submitted.

European Geosciences Union, Vienna, 22 – 27 April 2012, Special session co-convened with M. Ghil and V. Lucarini on "Stochasticity and Statistical Physics in Climate Dynamics". Co-organized CL5.2/NP 8.1.