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Accueil - Thèmes de recherche - Publications - Enseignements - Exposés - ANR SWIDIMS - CV - Mathématiques légères
Articles (et prépublications)
- Logarithmic Sobolev inequalities for non-equilibrium steady states, avec Songbo Wang, 2023 (arXiv).
- Some remarks on the effect of the Random Batch Method on phase transition, avec Arnaud Guillin et Pierre le Bris, 2023 (arXiv).
- Wasserstein contraction for the stochastic Morris-Lecar neuron model, avec Maxime Herda et Benoît Perthame, 2023 (arXiv).
- Lambda-ABF: Simplified, Accurate and Cost-effective Alchemical Free Energy Computations, avec Louis Lagardère, Lise Maurin, Olivier Adjoua, Krystel El Hage, Jean-Philip Piquemal, et Jérôme Hénin, 2023 (arXiv).
- Second order quantitative bounds for unadjusted generalized Hamiltonian Monte Carlo, avec Evan Camrud, Alain Oliviero Durmus et Gabriel Stoltz, 2023 (arXiv).
- Switched diffusion processes for non-convex optimization and saddle points search, avec Lucas Journel, 2023 (arXiv).
- Splitting schemes for second order approximations of piecewise-deterministic Markov processes, avec Andrea Bertazzi and Paul Dobson, 2023 (arXiv).
- An entropic approach for Hamiltonian Monte Carlo: the idealized case, 2022 (arXiv).
- Uniform convergence of the Fleming-Viot process in a hard killing metastable case, avec Lucas Journel, 2022 (arXiv).
- On systems of particles in singular repulsive interaction in dimension one : log and Riesz gas, avec Arnaud Guillin et Pierre le Bris, Journal de l'Ecole Polytechnique, 2023 (article,arXiv).
- HMC and underdamped Langevin united in the unadjusted convex smooth case, avec Nicolaï Gouraud, Pierre le Bris et Adrien Majka, 2022 (arXiv).
- Wasserstein contraction and Poincaré inequalities for elliptic diffusions at high temperature, à paraître aux Annales Henri Lebesgues, 2022 (arXiv).
- Position-dependent memory kernel in generalized Langevin equations: theory and numerical estimation, avec Hadrien Vroylandt, Journal of Chemical Physics, 2022 (article,arXiv).
- On the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems, avec Yacine Chitour, Guilherme Mazanti et Mario Sigalotti, EJP, 2023 (article,arXiv).
- Reducing exit-times of diffusions with repulsive interactions, avec Paul-Eric Chaudru de Raynal, Manh Hong Duong, Milica Tomasevic et Julian Tugaut, ESAIM:PS, 2023 (article,arXiv).
- Likelihood-based parametric estimator for memory kernels in molecular dynamics, avec Hadrien Vroylandt, Ludovic Goudenège, Fabio Pietrucci et Benjamin Rotenberg, PNAS 119, 2022 (article,arXiv).
- Overdamped limit at stationarity for non-equilibrium Langevin diffusions, avec Mouad Ramil, ECP vol. 22, 2022 (article,arXiv).
- An Efficient GaMD Multi-Level Enhanced Sampling Strategy for Polarizable Force Fields Simulations of Large Biological Systems, avec Fréderic Célerse, Theo Jaffrelot-Inizan, Louis Lagardère, Olivier Adjoua, Yinglong Mia, Etienne Derat et Jean-Philip Piquemal, JCTC, 2022 (article,chemrxiv).
- Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems, avec Arnaud Guillin et Pierre le Bris, 2021 (arXiv).
- Convergence of the kinetic annealing for general potentials, avec Lucas Journel, Electronic Journal of Probability vol. 27, 2022 (article,arXiv).
- Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases, avec Arnaud Guillin et Pierre le Bris, EJP, 2022 (article,arXiv).
- Discrete sticky couplings of functional autoregressive processes, avec Alain Durmus, Andreas Eberle, Aurélien Enfroy et Arnaud Guillin, 2021 (arXiv).
- The Adaptive Biasing Force algorithm with non-conservative forces and related topics , avec Tony Lelièvre et Lise Maurin, ESAIM: Math. Modelling and Num. Analysis, 2022 (article,arXiv).
- High-Resolution Mining of SARS-CoV-2 Main Protease Conformational Space: Supercomputer-Driven Unsupervised Adaptive Sampling, avec Theo Jaffrelot Inizan, Frédéric Célerse, Olivier Adjoua, Dina El Ahdab, Luc-Henry Jolly, Chengwen Liu, Pengyu Ren, Matthieu Montes, Nathalie Lagarde, Louis Lagardère et Jean-Philip Piquemal, Chemical Science, 2021 (article,ChemXiv).
- Almost sure contraction for diffusions on Rd. Application to generalised Langevin diffusions, Stochastic Processes and Applications, 2023 (article, arXiv).
- Exact targeting of Gibbs distributions using velocity-jump processes, avec Mathias Rousset et Pierre-André Zitt, SPDE, 2022 (article,arXiv).
- High-dimensional MCMC with a standard splitting scheme for the underdamped Langevin, Electronic Journal of Statistics vol. 15, 2021 (article, arXiv).
- Metastability for systems of interacting neurons, avec Eva Löcherbach, Annales de l'IHP, 2021 (article,arXiv).
- Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes, avec Arnaud Guillin, Journal of Statistical Physics vol. 185, 2021 (article,arXiv).
- Velocity jump processes: an alternative to multi-timestep methods for faster and accurate molecular dynamics simulations, avec Jérémy Weisman, Louis Lagardère et Jean-Philip Piquemal, Journal of Chemical Physics 153, 2020 (article, arXiv).
- Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias, avec Virginie Ehrlacher et Tony Lelièvre, Annals of Applied Probability, 2022 (article,HAL).
- Hypocoercivité L2, inégalité de concentration, temps d'atteinte et fonctions de Lyapunov, Annales Mathématiques Blaise Pascal, 2023 (article,arXiv).
- Convergence of a particle approximation for the quasi-stationary distribution of a diffusion process: uniform in time estimates in a compact soft case, avec Lucas Journel, ESAIM PS vol. 26, 2022 (article,arXiv).
- Analysis of an Adaptive Biasing Force method based on self-interacting dynamics, avec Michel Benaïm et Charles-Edouard Bréhier, Electronic Journal of Probability, 2020 (article, arXiv).
- Simulated annealing in Rd with slowly growing potentials, avec Nicolas Fournier et Camille Tardif, Stochastic Processes and their Applications vol. 131, 2021 (article, arXiv).
- Kinetic walks for sampling, ALEA vol. 17, 2020 (ALEA, arXiv).
- Elementary coupling approach for non-linear perturbation of Markov processes with mean-field jump mechanims and related problems, ESAIM PS vol. 27, 2023 (article, arXiv).
- Piecewise Deterministic Markov Processes and their invariant measure, avec Alain Durmus et Arnaud Guillin, Annales de l'IHP vol. 57, 2021 (article, arXiv).
- Geometric ergodicity of the bouncy particle sampler, avec Alain Durmus et Arnaud Guillin, Annals of Applied Probability, 2020 (article, arXiv).
- Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities, avec Patrick Cattiaux, Arnaud Guillin et Chaoen Zhang, Journal of Functional Analysis, no. 11, 108288, 2019 (article, arXiv).
- A note on Fisher Information hypocoercive decay for the linear Boltzman equation, Analysis and Mathematical Physics vol. 11, 2021 (article, arXiv).
- Weakly Self-Interacting Velocity Jump Processes for Bacterial Chemotaxis and Adaptive Algorithms, Markov Process. Related Fields 23, no. 4, 609-659, 2017 (article, arXiv).
- Strongly self-interacting processes on the circle, avec Carl-Éric Gauthier, Stochastics 91, no. 8, 1249-1271, 2019 (article, arXiv).
- Optimal linear drift for the speed of convergence of an hypoelliptic diffusion, avec Arnaud Guillin, Electronic Communications in Probability vol. 11, 2016 (article, arXiv post erratum)
- Long-time behaviour and propagation of chaos for mean field kinetic particles, Stochastic Processes and their Applications vol. 127(6), 1721-1737, 2017 (article, arXiv)
- Generalized Γ calculus and application to interacting particles on a graph, 2015, Potential Analysis 50, no. 3, 439-466, 2019 (article, arXiv).
- Hypocoercivity in metastable settings and kinetic simulated annealing, Probab. Theory Related Fields 172, no. 3-4, 1215-1248, 2018 (article, arXiv)
- Piecewise deterministic simulated annealing, ALEA vol. 13(1), 357-398, 2016 (ALEA)
- On H1 and entropic convergence for contractive PDMP, Electronic Journal of Probability vol. 20(128), 1-30, 2015 (EJP)
- Hypocoercive relaxation to equilibrium for some kinetic models, Kinetic and Related Models vol. 7(2) 341-360, 2014 (article, arXiv).
- Étude spectrale minutieuse de processus moins indécis que les autres, avec Laurent Miclo, Lecture Notes in Mathematics 2078, Séminaire de Probabilité XLV, 2013 (article, arXiv, et un résumé des résultats en anglais).
Livres
- Collaboration à 5 jeunes chercheurs d'avenir 2015-2016, aux éditions Le Pommier (pdf).
Proceedings
- Recent progress on limit theorems for large stochastic particle systems, avec Max Fathi, Pierre Le Bris, Angeliki Menegaki, Julien Reygner et Milica Tomaseviv, 2022 (Hal).
- Recent advances in the long-time analysis of killed degenerate processes and their particle approximation, avec Bertrand Cloez, Lucas Journel, Boris Nectoux et Mouad Ramil, 2022 (arXiv).
- A short introduction to Piecewise Deterministic Markov samplers. Stochastic dynamics out of equilibrium, 375-390, Springer Proc. Math. Stat., 282, Springer, Cham, 2019 (article).
