Publications
Articles (and preprints)
- On systems of particles in singular repulsive interaction in dimension one : log and Riesz gas, with Arnaud Guillin and Pierre le Bris, 2022 (arXiv).
- HMC and Langevin united in the unadjusted and convex case, 2022 (arXiv).
- Wasserstein contraction and Poincaré inequalities for elliptic diffusions at high temperature, 2022 (arXiv).
- Position-dependent memory kernel in generalized Langevin equations: theory and numerical estimation, with Hadrien Vroylandt, 2022 (article,arXiv).
- On the gap between deterministic and probabilistic Lyapunov exponents for continuous-time linear systems, with Yacine Chitour, Guilherme Mazanti and Mario Sigalotti, 2021 (arXiv).
- Reducing exit-times of diffusions with repulsive interactions, with Paul-Eric Chaudru de Raynal, Manh Hong Duong, Milica Tomasevic and Julian Tugaut, 2021 (arXiv).
- Likelihood-based parametric estimator for memory kernels in molecular dynamics, with Hadrien Vroylandt, Ludovic Goudenège, Fabio Pietrucci and Benjamin Rotenberg, PNAS 119, 2022 (article,arXiv).
- Overdamped limit at stationarity for non-equilibrium Langevin diffusions, with 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, with Fréderic Célerse, Theo Jaffrelot-Inizan, Louis Lagardère, Olivier Adjoua, Yinglong Mia, Etienne Derat and Jean-Philip Piquemal, JCTC, 2022 (article,chemrxiv).
- Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems, with Arnaud Guillin and Pierre le Bris, 2021 (arXiv).
- Convergence of the kinetic annealing for general potentials, with Lucas Journel, 2021 (arXiv).
- Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases, with Arnaud Guillin and Pierre le Bris, 2021 (arXiv).
- Discrete sticky couplings of functional autoregressive processes, with Alain Durmus, Andreas Eberle, Aurélien Enfroy and Arnaud Guillin, 2021 (arXiv).
- The Adaptive Biasing Force algorithm with non-conservative forces and related topics , with Tony Lelièvre and 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, with Theo Jaffrelot Inizan, Frédéric Célerse, Olivier Adjoua, Dina El Ahdab, Luc-Henry Jolly, Chengwen Liu, Pengyu Ren, Matthieu Montes, Nathalie Lagarde, Louis Lagardère and Jean-Philip Piquemal, Chemical Science, 2021 (article,ChemXiv).
- Almost sure contraction for diffusions on Rd. Application to generalised Langevin diffusions, 2020 (arXiv).
- Exact targeting of Gibbs distributions using velocity-jump processes, with Mathias Rousset and 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,
with 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,
with 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, with Virginie Ehrlacher and Tony Lelièvre, to appear in Annals of Applied Probability, 2019 (HAL).
- Hypocoercivité L2, inégalité de concentration, temps d'atteinte et fonctions de Lyapunov, to appear in Annales Mathématiques Blaise Pascal, 2019 (arXiv with an english translation).
- Convergence of a particle approximation for the quasi-stationary distribution of a diffusion process: uniform in time estimates in a compact soft case, with Lucas Journel, ESAIM PS vol. 26, 2022 (article,arXiv).
- Analysis of an Adaptive Biasing Force method based on self-interacting dynamics, with Michel Benaïm and Charles-Edouard Bréhier, Electronic Journal of Probability, 2020 (article, arXiv).
- Simulated annealing in Rd with slowly growing potentials, with Nicolas Fournier and 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, 2018 (arXiv).
- Piecewise Deterministic Markov Processes and their invariant measure,
with Alain Durmus and Arnaud Guillin, Annales de l'IHP vol. 57, 2021 (article, arXiv).
- Geometric ergodicity of the bouncy particle sampler,
with Alain Durmus and Arnaud Guillin, Annals of Applied Probability, 2018 (article, arXiv).
- Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities,
with Patrick Cattiaux, Arnaud Guillin and 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,
with Carl-Éric Gauthier, Stochastics 91, no. 8, 1249-1271, 2019 (article, arXiv).
- Optimal linear drift for the speed of convergence of an hypoelliptic diffusion,
with 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,
with Laurent Miclo, Lecture Notes in Mathematics 2078, Séminaire de Probabilité XLV, 2013 (article, arXiv, and a summary of the results in english).
Books
- Collaboration to 5 jeunes chercheurs d'avenir 2015-2016, Le Pommier editions (pdf).
Proceedings
- A short introduction to Piecewise Deterministic Markov samplers. Stochastic dynamics out of equilibrium, 375-390, Springer Proc. Math. Stat., 282, Springer, Cham, 2019.
Phd thesis and HDR
- Phd thesis : Hypocoercivity: alternative approaches and applications to stochastic algorithms (pdf)
- HDR : Degenerated Markov processes for sampling, optimization and modelling (pdf)