Edit Profile (opens in new tab) Monmarché, Pierre Co-Author Distance Author ID: monmarche.pierre Published as: Monmarché, Pierre; Monmarche, Pierre; Monmarché, P. more...less Homepage: https://www.ljll.math.upmc.fr/~monmarche/ External Links: Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 61 Publications since 2012, including 18 Additional arXiv Preprints Reviewing Activity: 11 Reviews Co-Authors: 51 Co-Authors with 43 Joint Publications 1,093 Co-Co-Authors all top 5 Co-Authors 18 single-authored 11 Guillin, Arnaud 6 Journel, Lucas 6 Le Bris, Pierre 4 Durmus, Alain Oliviero 2 Gouraud, Nicolaï 2 Lelièvre, Tony 2 Miclo, Laurent 2 Ramil, Mouad 2 Reygner, Julien 2 Stoltz, Gabriel 2 Tomašević, Milica 2 Wang, Songbo 1 Benaïm, Michel 1 Bertazzi, Andrea 1 Bréhier, Charles-Edouard 1 Camrud, Evan 1 Cattiaux, Patrick 1 Chak, Martin 1 Chaudru De Raynal, Paul-Eric 1 Chitour, Yacine 1 Claudon, Baptiste 1 Cloez, Bertrand 1 Dobson, Paul W. 1 Duong, Manh Hong 1 Eberle, Andreas 1 Ehrlacher, Virginie 1 Enfroy, Aurélien 1 Fathi, Max 1 Fournier, Nicolas 1 Gauthier, Carl-Eric 1 Herda, Maxime 1 Liu, LinShan 1 Löcherbach, Eva 1 Majka, Adrien 1 Majka, Mateusz B. 1 Maurin, Lise 1 Mazanti, Guilherme 1 Menegaki, Angeliki 1 Nectoux, Boris 1 Perthame, Benoît 1 Piquemal, Jean-Philip 1 Ren, Zhenjie 1 Rousset, Mathias 1 Schuh, Katharina 1 Sigalotti, Mario 1 Spacek, Renato 1 Strickler, Edouard 1 Tardif, Camille 1 Tugaut, Julian 1 Zhang, Chaoen 1 Zitt, Pierre-André all top 5 Serials 6 Electronic Journal of Probability 4 Stochastic Processes and their Applications 3 The Annals of Applied Probability 3 Electronic Communications in Probability 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Kinetic and Related Models 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Journal of Statistical Physics 1 Journal of Functional Analysis 1 Probability Theory and Related Fields 1 Potential Analysis 1 Annales Mathématiques Blaise Pascal 1 Markov Processes and Related Fields 1 Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Electronic Journal of Statistics 1 Analysis and Mathematical Physics 1 Statistics and Computing 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 Journal de l’École Polytechnique – Mathématiques 1 Annales Henri Lebesgue all top 5 Fields 44 Probability theory and stochastic processes (60-XX) 17 Numerical analysis (65-XX) 13 Partial differential equations (35-XX) 10 Statistical mechanics, structure of matter (82-XX) 3 Functional analysis (46-XX) 2 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 272 times in 162 Documents Cited by ▼ Year ▼ Generalized \(\Gamma\) calculus and application to interacting particles on a graph. Zbl 1411.58013 Monmarché, Pierre 22 2019 Piecewise deterministic simulated annealing. Zbl 1341.60091 Monmarché, Pierre 21 2016 Long-time behaviour and propagation of chaos for mean field kinetic particles. Zbl 1367.60121 Monmarché, Pierre 20 2017 Geometric ergodicity of the bouncy particle sampler. Zbl 1472.60118 Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 20 2020 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065 Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 18 2019 Piecewise deterministic Markov processes and their invariant measures. Zbl 1484.60083 Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 17 2021 On \(\mathcal{H}^1\) and entropic convergence for contractive PDMP. Zbl 1332.60123 Monmarché, Pierre 16 2015 Detailed spectral study of processes that are less hesistent than others. (Étude spectrale minutieuse de processus moins indécis que les autres.) Zbl 1401.60140 Miclo, Laurent; Monmarché, Pierre 14 2013 Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes. Zbl 1515.82069 Guillin, Arnaud; Monmarché, Pierre 13 2021 Hypocoercivity in metastable settings and kinetic simulated annealing. Zbl 1404.60120 Monmarché, Pierre 12 2018 High-dimensional MCMC with a standard splitting scheme for the underdamped Langevin diffusion. Zbl 1471.65010 Monmarché, Pierre 12 2021 Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. Zbl 1354.60084 Guillin, Arnaud; Monmarché, Pierre 11 2016 Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases. Zbl 1504.60137 Guillin, Arnaud; Le Bris, Pierre; Monmarché, Pierre 10 2022 Almost sure contraction for diffusions on \(\mathbb{R}^d\). Application to generalized Langevin diffusions. Zbl 1523.60131 Monmarché, Pierre 9 2023 A note on Fisher information hypocoercive decay for the linear Boltzmann equation. Zbl 1470.35251 Monmarché, Pierre 8 2021 Hypocoercive relaxation to equilibrium for some kinetic models. Zbl 1346.60123 Monmarché, Pierre 7 2014 Metastability for systems of interacting neurons. Zbl 1492.60282 Löcherbach, Eva; Monmarché, Pierre 7 2022 Convergence of a particle approximation for the quasi-stationary distribution of a diffusion process: uniform estimates in a compact soft case. Zbl 1492.65031 Journel, Lucas; Monmarché, Pierre 6 2022 Reducing exit-times of diffusions with repulsive interactions. Zbl 1520.60045 Chaudru De Raynal, Paul-Eric; Duong, Manh Hong; Monmarché, Pierre; Tomašević, Milica; Tugaut, Julian 4 2023 Weakly self-interacting velocity jump processes for bacterial chemotaxis and adaptive algorithms. Zbl 1388.60146 Monmarché, P. 4 2017 On systems of particles in singular repulsive interaction in dimension one: log and Riesz gas. (Sur les systèmes de particules en interaction singulière répulsive en dimension \(1\) : log-gaz et gaz de Riesz.) Zbl 1526.60047 Guillin, Arnaud; Le Bris, Pierre; Monmarché, Pierre 3 2023 Convergence of the kinetic annealing for general potentials. Zbl 1517.60100 Journel, Lucas; Monmarché, Pierre 3 2022 Elementary coupling approach for non-linear perturbation of Markov processes with mean-field jump mechanisms and related problems. Zbl 1522.60069 Monmarché, Pierre 2 2023 Wasserstein contraction and Poincaré inequalities for elliptic diffusions with high diffusivity. (Contraction Wasserstein et inégalité de Poincaré pour des diffusions elliptiques à forte diffusivité.) Zbl 1534.60107 Monmarché, Pierre 2 2023 Kinetic walks for sampling. Zbl 1451.60082 Monmarché, Pierre 2 2020 Analysis of an adaptive biasing force method based on self-interacting dynamics. Zbl 1459.60157 Benaïm, Michel; Bréhier, Charles-Edouard; Monmarché, Pierre 2 2020 An entropic approach for Hamiltonian Monte Carlo: the idealized case. Zbl 1545.65013 Monmarché, Pierre 2 2024 Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias. Zbl 1504.65005 Ehrlacher, Virginie; Lelièvre, Tony; Monmarché, Pierre 1 2022 \(L^2\) hypocoercivity, deviation bounds, hitting times and Lyapunov functions. (Hypocoercivité \(L^2\), inégalité de concentration, temps d’atteinte et fonctions de Lyapunov.) Zbl 1511.60111 Monmarché, Pierre 1 2023 Exact targeting of Gibbs distributions using velocity-jump processes. Zbl 1520.60040 Monmarché, Pierre; Rousset, Mathias; Zitt, Pierre-André 1 2023 Overdamped limit at stationarity for non-equilibrium Langevin diffusions. Zbl 1487.60146 Monmarché, Pierre; Ramil, Mouad 1 2022 Erratum to: “Optimal linear drift for the speed of convergence of an hypoelliptic diffusion”. Zbl 1416.60077 Guillin, Arnaud; Monmarché, Pierre 1 2017 An entropic approach for Hamiltonian Monte Carlo: the idealized case. Zbl 1545.65013 Monmarché, Pierre 2 2024 Almost sure contraction for diffusions on \(\mathbb{R}^d\). Application to generalized Langevin diffusions. Zbl 1523.60131 Monmarché, Pierre 9 2023 Reducing exit-times of diffusions with repulsive interactions. Zbl 1520.60045 Chaudru De Raynal, Paul-Eric; Duong, Manh Hong; Monmarché, Pierre; Tomašević, Milica; Tugaut, Julian 4 2023 On systems of particles in singular repulsive interaction in dimension one: log and Riesz gas. (Sur les systèmes de particules en interaction singulière répulsive en dimension \(1\) : log-gaz et gaz de Riesz.) Zbl 1526.60047 Guillin, Arnaud; Le Bris, Pierre; Monmarché, Pierre 3 2023 Elementary coupling approach for non-linear perturbation of Markov processes with mean-field jump mechanisms and related problems. Zbl 1522.60069 Monmarché, Pierre 2 2023 Wasserstein contraction and Poincaré inequalities for elliptic diffusions with high diffusivity. (Contraction Wasserstein et inégalité de Poincaré pour des diffusions elliptiques à forte diffusivité.) Zbl 1534.60107 Monmarché, Pierre 2 2023 \(L^2\) hypocoercivity, deviation bounds, hitting times and Lyapunov functions. (Hypocoercivité \(L^2\), inégalité de concentration, temps d’atteinte et fonctions de Lyapunov.) Zbl 1511.60111 Monmarché, Pierre 1 2023 Exact targeting of Gibbs distributions using velocity-jump processes. Zbl 1520.60040 Monmarché, Pierre; Rousset, Mathias; Zitt, Pierre-André 1 2023 Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases. Zbl 1504.60137 Guillin, Arnaud; Le Bris, Pierre; Monmarché, Pierre 10 2022 Metastability for systems of interacting neurons. Zbl 1492.60282 Löcherbach, Eva; Monmarché, Pierre 7 2022 Convergence of a particle approximation for the quasi-stationary distribution of a diffusion process: uniform estimates in a compact soft case. Zbl 1492.65031 Journel, Lucas; Monmarché, Pierre 6 2022 Convergence of the kinetic annealing for general potentials. Zbl 1517.60100 Journel, Lucas; Monmarché, Pierre 3 2022 Adaptive force biasing algorithms: new convergence results and tensor approximations of the bias. Zbl 1504.65005 Ehrlacher, Virginie; Lelièvre, Tony; Monmarché, Pierre 1 2022 Overdamped limit at stationarity for non-equilibrium Langevin diffusions. Zbl 1487.60146 Monmarché, Pierre; Ramil, Mouad 1 2022 Piecewise deterministic Markov processes and their invariant measures. Zbl 1484.60083 Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 17 2021 Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes. Zbl 1515.82069 Guillin, Arnaud; Monmarché, Pierre 13 2021 High-dimensional MCMC with a standard splitting scheme for the underdamped Langevin diffusion. Zbl 1471.65010 Monmarché, Pierre 12 2021 A note on Fisher information hypocoercive decay for the linear Boltzmann equation. Zbl 1470.35251 Monmarché, Pierre 8 2021 Geometric ergodicity of the bouncy particle sampler. Zbl 1472.60118 Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 20 2020 Kinetic walks for sampling. Zbl 1451.60082 Monmarché, Pierre 2 2020 Analysis of an adaptive biasing force method based on self-interacting dynamics. Zbl 1459.60157 Benaïm, Michel; Bréhier, Charles-Edouard; Monmarché, Pierre 2 2020 Generalized \(\Gamma\) calculus and application to interacting particles on a graph. Zbl 1411.58013 Monmarché, Pierre 22 2019 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065 Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 18 2019 Hypocoercivity in metastable settings and kinetic simulated annealing. Zbl 1404.60120 Monmarché, Pierre 12 2018 Long-time behaviour and propagation of chaos for mean field kinetic particles. Zbl 1367.60121 Monmarché, Pierre 20 2017 Weakly self-interacting velocity jump processes for bacterial chemotaxis and adaptive algorithms. Zbl 1388.60146 Monmarché, P. 4 2017 Erratum to: “Optimal linear drift for the speed of convergence of an hypoelliptic diffusion”. Zbl 1416.60077 Guillin, Arnaud; Monmarché, Pierre 1 2017 Piecewise deterministic simulated annealing. Zbl 1341.60091 Monmarché, Pierre 21 2016 Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. Zbl 1354.60084 Guillin, Arnaud; Monmarché, Pierre 11 2016 On \(\mathcal{H}^1\) and entropic convergence for contractive PDMP. Zbl 1332.60123 Monmarché, Pierre 16 2015 Hypocoercive relaxation to equilibrium for some kinetic models. Zbl 1346.60123 Monmarché, Pierre 7 2014 Detailed spectral study of processes that are less hesistent than others. (Étude spectrale minutieuse de processus moins indécis que les autres.) Zbl 1401.60140 Miclo, Laurent; Monmarché, Pierre 14 2013 all cited Publications top 5 cited Publications all top 5 Cited by 248 Authors 28 Monmarché, Pierre 11 Guillin, Arnaud 8 Bierkens, Joris 5 Arnold, Anton 5 Duong, Manh Hong 5 Le Bris, Pierre 5 Pavliotis, Grigorios A. 4 Paulin, Daniel 4 Ren, Zhenjie 4 Stoltz, Gabriel 4 Tugaut, Julian 3 Bernard, Étienne 3 Bou-Rabee, Nawaf M. 3 Fathi, Max 3 Gabriel, Pierre 3 Journel, Lucas 3 Laxa, Kádmo de S. 3 Leimkuhler, Benedict J. 3 Lelièvre, Tony 3 Lu, Jianfeng 3 Malrieu, Florent 3 Menegaki, Angeliki 3 Perthame, Benoît 3 Wang, Lihan 3 Whalley, Peter A. 3 Zhang, Chaoen 2 Achleitner, Franz 2 Bao, Jianhai 2 Baudoin, Fabrice 2 Bertazzi, Andrea 2 Breiten, Tobias 2 Cattiaux, Patrick 2 Chaintron, Louis-Pierre 2 Chak, Martin 2 Cornalba, Federico 2 Diez, Antoine 2 Dobson, Paul W. 2 Durmus, Alain Oliviero 2 Eberle, Andreas 2 Einav, Amit 2 Evans, Josephine A. 2 Fournier, Nicolas 2 Genadot, Alexandre 2 Gordina, Maria 2 Herda, Maxime 2 Herzog, David P. 2 Kantas, Nikolas 2 Löcherbach, Eva 2 Michel, Manon 2 Ottobre, Michela 2 Patie, Pierre 2 Roberts, Gareth O. 2 Schlichting, André 2 Schuh, Katharina 2 Shardlow, Tony 2 Tan, Xiaolu 2 Tomašević, Milica 2 Vaes, Urbain 2 Wang, Songbo 2 Zimmer, Johannes 2 Zitt, Pierre-André 1 Aberqi, Ahmed 1 Agazzi, Andrea 1 Alam, Md Nur 1 Aleksian, Ashot 1 André, Morgan 1 Andrieu, Christophe 1 Aristoff, David 1 Azaïs, Romain 1 Banerjee, Sayan 1 Bayraktar, Erhan 1 Becker, Simon 1 Benslimane, Omar 1 Bernou, Armand 1 Bhattacharya, Suman K. 1 Borzì, Alfio 1 Bouchard-Côté, Alexandre 1 Bouguet, Florian 1 Brigati, Giovanni 1 Budhiraja, Amarjit S. 1 Burger, Martin 1 Camrud, Evan 1 Cao, Yu 1 Carlen, Eric Anders 1 Cesbron, Ludovic 1 Chakraborty, Saptarshi 1 Chalkis, Apostolos 1 Chaudru De Raynal, Paul-Eric 1 Chen, Fan 1 Chevallier, Augustin 1 Chiarini, Alberto 1 Chitour, Yacine 1 Choi, Michael C. H. 1 Cloez, Bertrand 1 Conforti, Giovanni 1 Cotter, Simon L. 1 Cui, Jianbo 1 De Gregorio, Alessandro 1 De Santis, Emilio 1 Del Moral, Pierre ...and 148 more Authors all top 5 Cited in 65 Serials 13 The Annals of Applied Probability 13 Electronic Journal of Probability 11 Stochastic Processes and their Applications 8 Kinetic and Related Models 7 Journal of Statistical Physics 5 Journal of Mathematical Physics 5 Journal of Functional Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Bernoulli 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Statistics and Computing 3 Archive for Rational Mechanics and Analysis 3 Nonlinearity 3 Journal of Differential Equations 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Mathematical Analysis 3 SIAM/ASA Journal on Uncertainty Quantification 3 Annales Henri Lebesgue 2 Advances in Applied Probability 2 Communications in Mathematical Physics 2 Probability Theory and Related Fields 2 Journal of Nonlinear Science 2 Stochastics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Electronic Journal of Statistics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 AIMS Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 The Annals of Probability 1 Journal of Number Theory 1 Journal of Statistical Planning and Inference 1 Mathematics of Operations Research 1 SIAM Journal on Control and Optimization 1 Statistics & Probability Letters 1 Journal of Complexity 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Annales Mathématiques Blaise Pascal 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Annales Henri Poincaré 1 Journal of Evolution Equations 1 Journal of Machine Learning Research (JMLR) 1 Multiscale Modeling & Simulation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 Boundary Value Problems 1 Journal of Physics A: Mathematical and Theoretical 1 Journal of Computational and Graphical Statistics 1 Analysis and Mathematical Physics 1 Séminaire Laurent Schwartz. EDP et Applications 1 Journal of the Japan Statistical Society. Japanese Issue all top 5 Cited in 34 Fields 113 Probability theory and stochastic processes (60-XX) 58 Partial differential equations (35-XX) 44 Statistical mechanics, structure of matter (82-XX) 42 Numerical analysis (65-XX) 17 Statistics (62-XX) 16 Operator theory (47-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 6 Functional analysis (46-XX) 6 Fluid mechanics (76-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year