Publications

  • H. Alrachid and T. Lelièvre, Long-time convergence of an adaptive biasing force method: Variance reduction by Helmholtz projection, SMAI Journal of Computational Mathematics, 1:55-82, preprint, (2015).
  • H. Alrachid, T. Lelièvre and R. Talhouk, Local and global solution for a nonlocal Fokker-Planck equation related to the adaptive biasing force process, Journal of Differential Equations, 260, 7032-7058, preprint, (2016).
  • D. Aristoff, T. Lelièvre and G. Simpson, The parallel replica method for simulating long trajectories of Markov chains, AMRX, 2, 332-352, preprint, (2014).
  • R. Assaraf, B. Jourdain, T. Lelièvre and R. Roux, Computation of sensitivities for the invariant measure of a parameter dependent diffusion, Stochastics and Partial Differential Equations: Analysis and Computations 6(2), 125-183, preprint, (2018).
  • N. Berglund, G. Di Gesù and H. Weber, An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two, Electron. J. Probab. 22(41), preprint, (2017).
  • A. Binder, T. Lelièvre and G. Simpson, A generalized parallel replica dynamics, Journal of Computational Physics, 284, 595-616, preprint, (2014).
  • C.-E. Bréhier, M. Gazeau, L. Goudenège, T. Lelièvre and M. Rousset, Unbiasedness of some generalized Adaptive Multilevel Splitting algorithms, Annals of Applied Probability, Volume 26, Number 6, 3559-3601, preprint, (2016).
  • C.E. Bréhier, T. Lelièvre and M. Rousset, Analysis of Adaptive Multilevel Splitting algorithms in an idealized case, ESAIM P&S,19, 361-394, preprint, (2015).
  • C.E. Bréhier and T. Lelièvre, On a new class of score functions to estimate tail probabilities of some stochastic processes with Adaptive Multilevel Splitting, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(3), 033126, preprint, (2019).
  • F. Cérou, B. Delyon, A. Guyader and M. Rousset, A Central Limit Theorem for Fleming-Viot Particle Systems with Soft Killing, preprint, (2016).
  • F. Cérou, B. Delyon, A. Guyader and M. Rousset, A Central Limit Theorem for Fleming-Viot Particle Systems with Hard Killing, to appear in Annales de l’IHP (Probability and Statistics), preprint, (2017).
  • F. Cérou, B. Delyon, A. Guyader and M. Rousset, On the Asymptotic Normality of Adaptive Multilevel Splitting, SIAM/ASA Journal on Uncertainty Quantification, Vol. 7 (1), 1–30, preprint, (2019).
  • F. Cérou, A. Guyader and M. Rousset, Adaptive Multilevel Splitting: Historical Perspective and Recent Results, Chaos: An Interdisciplinary Journal of Nonlinear Science, Chaos 29, 043108, preprint, (2019).
  • J. Comer, J.C. Gumbart, J. Hénin, T. Lelièvre, A. Pohorille and C. Chipot, The adaptive biasing force method: everything you always wanted to know, but were afraid to ask, The Journal of Physical Chemistry B, 119(3), 1129-1151, (2015).
  • G. Di Gesù and D. Le Peutrec, Small noise spectral gap asymptotics for a large system of nonlinear diffusions, Journal of Spectral Theory, 7(4), 939–984, preprint, (2017).
  • G. Di Gesù, T. Lelièvre, D. Le Peutrec and B. Nectoux, Jump Markov models and transition state theory: the Quasi-Stationary Distribution approach, Faraday Discussions, 195, 469-495, preprint, (2016).
  • G. Di Gesù, T. Lelièvre, D. Le Peutrec and B. Nectoux, Sharp asymptotics of the first exit point density, Annals of PDE, 5(1), preprint, (2019).
  • G. Di Gesù, T. Lelièvre, D. Le Peutrec and B. Nectoux, The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, preprint, (2019).
  • G. Di Gesù, T. Lelièvre, D. Le Peutrec and B. Nectoux, The exit from a metastable state: concentration of the exit point distribution on the low energy saddle points, part 1, to appear in Journal de Mathématiques Pures et Appliquées, preprint, (2019).
  • G. Di Gesù and M. Mariani, Full metastable asymptotic of the Fisher information, SIAM Journal on Mathematical Analysis, 49(4), 3048–3072, preprint, (2017).
  • A.B. Duncan, T. Lelièvre and G.A. Pavliotis, Variance reduction using nonreversible Langevin samplers, Journal of Statistical Physics, Volume 163(3), 457–491, preprint, (2016).
  • A. Durmus, A. Guillin, P. Monmarché, Geometric ergodicity of the bouncy particle sampler, preprint, (2018).
  • M. Fathi and G. Stoltz, Improving dynamical properties of stabilized discretizations of overdamped Langevin dynamics, Numerische Mathematik 136(2), 545–602, preprint, (2017).
  • G. Faure, J.-B. Maillet, J. Roussel and G. Stoltz, Size consistency in Smoothed Dissipative Particle Dynamics, Phys. Rev. E 94 043305, preprint, (2016).
  • G. Faure and G. Stoltz, Stable and accurate schemes for smoothed dissipative particle dynamics, Appl. Math. Mech.-Engl. 39(1), 83-102, preprint, (2018).
  • G. Ferré and G. Stoltz, Error estimates on ergodic properties of discretized Feynman-Kac semigroups, to appear in Numerische Mathematik, preprint, (2019).
  • G. Ferré, M. Rousset and G. Stoltz, More on the long time stability of Feynman-Kac semigroups, preprint, (2019).
  • G. Fort, B. Jourdain, T. Lelièvre and G. Stoltz, Self-Healing Umbrella Sampling: Convergence and efficiency,  Stat. Comput. 27(1) 147-168, preprint, (2017).
  • G. Fort, B. Jourdain, T. Lelièvre and G. Stoltz, Convergence and efficiency of adaptive importance sampling techniques with partial biasing, J. Stat. Phys. 171(2), 220-268, preprint, (2018).
  • F. Hédin and T. Lelièvre, gen.parRep: a first implementation of the Generalized Parallel Replica dynamics for the long time simulation of metastable biochemical systems, Computer Physics Communications, 239, 311-324, preprint, (2019).
  • A.-A. Homman, J.-B. Maillet, J. Roussel and G. Stoltz, New parallelizable schemes for integrating the Dissipative Particle Dynamics with Energy Conservation, J. Chem. Phys. 144:024112, preprint, (2016).
  • T. Hudson, F. Legoll and T. Lelièvre, Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis, preprint, (2018).
  • A. Iacobucci, S. Olla and G. Stoltz, Convergence rates for nonequilibrium Langevin dynamics, Ann. Math. Quebec 43(1), 73-98, preprint, (2019).
  • R. Joubaud, G. Pavliotis and G. Stoltz, Langevin dynamics with space-time periodic nonequilibrium forcing, J. Stat. Phys. 158 (1), 1-36,  preprint, (2015).
  • B. Jourdain, T. Lelièvre and P.A. Zitt, Convergence of metadynamics: discussion of the adiabatic hypothesis, preprint, (2019).
  • F. Legoll, T. Lelièvre and S. Olla, Pathwise estimates for an effective dynamics, Stochastic Processes and their Applications, 127(9), 2841-2863, preprint, (2017).
  • F. Legoll, T. Lelièvre and U. Sharma, Effective dynamics for non-reversible stochastic differential equations: a quantitative study, preprint, (2018).
  • B. Leimkuhler, T. Lelièvre and Z. Trstanova, Local and global perspectives on diffusion maps in the analysis of molecular systems, preprint, (2019).
  • T. Lelièvre, Accelerated dynamics: Mathematical foundations and algorithmic improvements, Eur. Phys. J. Special Topics 224, 2429-2444, preprint, (2015).
  • T. Lelièvre, Mathematical foundations of Accelerated Molecular Dynamics methods, In: Andreoni W., Yip S. (eds) Handbook of Materials Modeling. Springer, Cham, preprint, (2018).
  • T. Lelièvre, D. Le Peutrec and B. Nectoux, Exit event from a metastable state and Eyring-Kramers law for the overdamped Langevin dynamics, In: Stochastic Dynamics out of Equilibrium, G. Giacomin, S. Olla, E. Saada, H. Spohn and G. Stoltz (Eds), Springer Proceedings in Mathematics and Statistics, preprint, (2019).
  • T. Lelièvre and L.J.S. Lopes, Analysis of the Adaptive Multilevel Splitting method with the alanine di-peptide’s isomerization, Journal of Computational Chemistry, 40(11), 1198-1208, preprint, (2019).
  • T. Lelièvre and F. Nier, Low temperature asymptotics for Quasi-Stationary Distributions in a bounded domain, Analysis & PDE, 8(3), 561 – 628, preprint, (2015).
  • T. Lelièvre, L. Pillaud-Vivien, J. Reygner, Central Limit Theorem for stationary Fleming-Viot particle systems in finite spaces, ALEA Latin American Journal of Probability and Mathematical Statistics, 15:1163-1182, preprint, (2018).
  • T. Lelièvre, M. Rousset and G. Stoltz, Hybrid Monte Carlo methods for sampling probability measures on submanifolds, to appear in Numerische Mathematik, preprint, (2019).
  • T. Lelièvre, G. Samaey and P. Zielinski, Analysis of a micro-macro acceleration method with minimum relative entropy moment matching, preprint, (2018).
  • T. Lelièvre and G. Stoltz, Partial differential equations and stochastic methods in molecular dynamics, Acta Numerica, 25, 681-880, preprint, (2016).
  • T. Lelièvre and W. Zhang, Pathwise estimates for effective dynamics: the case of nonlinear vectorial reaction coordinates, to appear in SIAM Multiscale Modeling and Simulation, preprint, (2019).
  • B. Nectoux, Sharp estimate of the mean exit time of a bounded domain in the zero white noise limit, to appear in Markov Processes And Related Fields, preprint, (2019).
  • J. Reygner, Equilibrium large deviations for mean-field systems with translation invariance, Annals of Applied Probability, 28(5), 2922-2965, preprint, (2018).
  • J. Roussel and G. Stoltz, A perturbative approach to control variates in molecular dynamics, Multiscale Model. Simul. 17(1), 552–591, preprint, (2019).
  • J. Roussel and G. Stoltz, Spectral methods for Langevin dynamics and associated error estimates, M2AN 52(3), 1051-1083, preprint, (2018).
  • G. Stoltz, Stable schemes for dissipative particle dynamics with conserved energy, J. Comput. Phys. 340, 451–469, preprint, (2017).
  • G. Stoltz and E. Vanden-Eijnden, Longtime convergence of the Temperature-Accelerated Molecular Dynamics Method, Nonlinearity 31(8), 3748-3769, preprint, (2018).

Publications of the MSMath project, which do not explicitly mention the MSMath project.

  • A. Alfonsi, J. Corbetta, B. Jourdain, Evolution of the Wasserstein distance between the marginals of two Markov processes, Bernoulli, 24(4A), 2461-2498, preprint, (2018).
  • A. Al Gerbi, E. Clément and B. Jourdain, Ninomiya-Victoir scheme: strong convergence, antithetic version and application to multilevel estimators, Monte Carlo Methods and Applications 22(3), 197-228, preprint, (2016)
  • D. Aristoff and T. Lelièvre, Mathematical analysis of Temperature Accelerated Dynamics, SIAM Multiscale Modeling and Simulation, 12(1), 290–317, preprint, (2014).
  • L. Cao, G. Stoltz, T. Lelièvre, M.C. Marinica and M. Athènes, Free energy calculations from adaptive molecular dynamics simulations with adiabatic reweighting,  Journal of Chemical Physics, 140, 104108, preprint, (2014).
  • F. Cérou and A. Guyader, Fluctuation Analysis of Adaptive Multilevel Splitting, Annals of Applied Probability, 26(6), 3319-3380, preprint, (2016).
  • G. Fort, B. Jourdain, E. Kuhn, T. Lelièvre and G. Stoltz, Convergence of the Wang-Landau algorithm, Mathematics of Computation, 84(295), 2297–2327, preprint, (2015).
  • G. Fort, B. Jourdain, E. Kuhn, T. Lelièvre and G. Stoltz, Efficiency of the Wang-Landau algorithm: a simple test case, AMRX, 2, 275-311, preprint, (2014).
  • P. Monmarché, Weakly Self-Interacting Velocity Jump Processes for Bacterial Chemotaxis and Adaptive Algorithms, Markov Processes And Related Fields, v.23, Issue 4, 609-660, preprint, (2017).