Edit Profile (opens in new tab) Guillin, Arnaud Compute Distance To: Compute Author ID: guillin.arnaud Published as: Guillin, Arnaud; Guillin, A. External Links: MGP Documents Indexed: 82 Publications since 1999 1 Contribution as Editor Co-Authors: 65 Co-Authors with 78 Joint Publications 1,064 Co-Co-Authors all top 5 Co-Authors 5 single-authored 23 Cattiaux, Patrick 11 Wu, Liming 10 Gentil, Ivan 9 Bolley, François 8 Djellout, Hacène 7 Monmarché, Pierre 5 Douc, Randal 3 Bertrand, Pierre Raphael 3 Durmus, Alain 3 Eberle, Andreas 3 Malrieu, Florent 3 Miclo, Laurent 3 Wang, Feng-Yu 3 Zhang, Chaoen 3 Zimmer, Raphael 2 Azzaoui, Nourddine 2 Bakry, Dominique 2 Bitseki Penda, S. Valère 2 Fhima, Mehdi 2 Fournier, Nicolas 2 Liptser, Robert 2 Liu, Wei 2 Marin, Jean-Michel 2 Personne, Arnaud 2 Robert, Christian P. Robert 2 Roberto, Cyril 2 Zitt, Pierre-André 1 Abdillahi-Ali, Doualeh 1 Bardet, Jean-Baptiste 1 Barthe, Franck 1 Boissard, Emmnuel 1 Boudet, Gil 1 Briand, Philippe 1 Chafaï, Djalil 1 Chamoux, Alain 1 Chaudru De Raynal, Paul-Eric 1 Chen, Xia 1 Christen, Alejandra 1 Cordero-Erausquin, Dario 1 Dolbeault, Jean 1 Dutheil, Frederic 1 Escobar-Bach, Mikael 1 Fathi, Max 1 Fort, Gersende 1 Fujita, Yasuhiro 1 Gackou, Gorgui 1 Gao, Fuqing 1 Gozlan, Nathael 1 Jabot, Franck 1 Joulin, Aldéric 1 Kuwada, Kazumasa 1 Labart, Céline 1 Le Bris, Pierre 1 Le Mailloux, Guillaume 1 Léonard, Christian 1 Matsui, Tomoko 1 Moulines, Eric 1 Najim, Jamal 1 Nectoux, Boris 1 Perrier, Christophe 1 Samoura, Yacouba 1 Schmidt, Jeannot 1 Villani, Cédric 1 Wang, Xinyu 1 Yao, Nian all top 5 Serials 7 Probability Theory and Related Fields 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Functional Analysis 5 The Annals of Applied Probability 5 Stochastic Processes and their Applications 4 The Annals of Probability 4 Electronic Journal of Probability 4 Electronic Communications in Probability 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Bernoulli 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Theory of Probability and its Applications 1 The Annals of Statistics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Indiana University Mathematics Journal 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Probability and Mathematical Statistics 1 Sequential Analysis 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Statistical Inference for Stochastic Processes 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Discrete and Continuous Dynamical Systems. Series B 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 International Journal of Biomathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys all top 5 Fields 74 Probability theory and stochastic processes (60-XX) 18 Real functions (26-XX) 17 Partial differential equations (35-XX) 16 Operator theory (47-XX) 10 Statistics (62-XX) 8 Numerical analysis (65-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 72 Publications have been cited 1,683 times in 1,023 Documents Cited by ▼ Year ▼ On the rate of convergence in Wasserstein distance of the empirical measure. Zbl 1325.60042Fournier, Nicolas; Guillin, Arnaud 187 2015 Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011Djellout, H.; Guillin, A.; Wu, L. 111 2004 Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud 108 2008 Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes. Zbl 1163.60034Douc, Randal; Fort, Gersende; Guillin, Arnaud 79 2009 A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud 78 2008 Quantitative concentration inequalities for empirical measures on non-compact spaces. Zbl 1113.60093Bolley, François; Guillin, Arnaud; Villani, Cédric 74 2007 Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031Cattiaux, P.; Guillin, A.; Malrieu, F. 55 2008 Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029Bolley, François; Guillin, Arnaud; Malrieu, Florent 48 2010 Quantitative Harris-type theorems for diffusions and McKean-Vlasov processes. Zbl 1481.60154Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael 46 2019 Uniform convergence to equilibrium for granular media. Zbl 1264.35040Bolley, François; Gentil, Ivan; Guillin, Arnaud 44 2013 Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality. Zbl 1306.60121Guillin, Arnaud; Wang, Feng-Yu 40 2012 Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations. Zbl 1253.35183Bolley, François; Gentil, Ivan; Guillin, Arnaud 40 2012 Transportation-information inequalities for Markov processes. Zbl 1169.60304Guillin, Arnaud; Léonard, Christian; Wu, Liming; Yao, Nian 38 2009 Couplings and quantitative contraction rates for Langevin dynamics. Zbl 1466.60160Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael 38 2019 Modified logarithmic Sobolev inequalities and transportation inequalities. Zbl 1080.26010Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent 36 2005 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 32 2012 Convergence of adaptive mixtures of importance sampling schemes. Zbl 1132.60022Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P. 30 2007 Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming 29 2009 On quadratic transportation cost inequalities. Zbl 1118.58017Cattiaux, Patrick; Guillin, Arnaud 28 2006 Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029Guillin, A.; Liptser, R. 28 2006 Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril 27 2010 Total variation estimates for the TCP process. Zbl 1283.68067Bardet, Jean-Baptiste; Christen, Alejandra; Guillin, Arnaud; Malrieu, Florent; Zitt, Pierre-André 26 2013 Averaging principle of SDE with small diffusion: Moderate deviations. Zbl 1016.60031Guillin, A. 24 2003 Moderate deviations of empirical periodogram and non-linear functionals of moving average processes. Zbl 1100.60010Djellout, H.; Guillin, A.; Wu, L. 21 2006 A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 21 2010 Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010Cattiaux, P.; Gentil, I.; Guillin, A. 21 2007 Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011Cattiaux, Patrick; Guillin, Arnaud 21 2008 Poincaré inequalities and hitting times. Zbl 1270.26018Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André 21 2013 Minimum variance importance sampling via population Monte Carlo. Zbl 1181.60028Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P. 20 2007 Semi log-concave Markov diffusions. Zbl 1390.60286Cattiaux, P.; Guillin, A. 20 2014 An elementary approach to uniform in time propagation of chaos. Zbl 1471.60123Durmus, Alain; Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael 16 2020 Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application. Zbl 1293.60036Bitseki Penda, S. Valère; Djellout, Hacène; Guillin, Arnaud 15 2014 Large and moderate deviations for estimators of quadratic variational processes of diffusions. Zbl 1059.60501Djellout, Hacène; Guillin, Arnaud; Wu, Liming 14 1999 Bounds on regeneration times and limit theorems for subgeometric Markov chains. Zbl 1176.60063Douc, Randal; Guillin, Arnaud; Moulines, Eric 13 2008 Modified logarithmic Sobolev inequalities in null curvature. Zbl 1123.26022Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent 13 2007 From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules. (D’un système de particules de type Kac à l’équation de Landau pour des potentiels durs et des molécules maxwelliennes.) Zbl 1371.82086Fournier, Nicolas; Guillin, Arnaud 13 2017 \(L^q\)-functional inequalities and weighted porous media equations. Zbl 1148.26018Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu 12 2008 Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015Cattiaux, Patrick; Guillin, Arnaud 12 2017 Moderate deviations for Markov chains with atom. Zbl 1059.60029Djellout, H.; Guillin, A. 11 2001 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 11 2019 Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 11 2011 Moderate deviations of inhomogeneous functionals of Markov processes and application to averaging. Zbl 1047.60022Guillin, Arnaud 10 2001 Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. Zbl 1426.60066Bolley, François; Gentil, Ivan; Guillin, Arnaud 10 2018 Off-line detection of multiple change points by the filtered derivative with \(p\)-value method. Zbl 1215.62076Bertrand, Pierre Raphael; Fhima, Mehdi; Guillin, Arnaud 10 2011 Dimensional contraction via Markov transportation distance. Zbl 1312.47055Bolley, François; Gentil, Ivan; Guillin, Arnaud 9 2014 Geometric ergodicity of the bouncy particle sampler. Zbl 1472.60118Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 8 2020 Bernstein-type concentration inequalities for symmetric Markov processes. Zbl 1314.60065Gao, Fuqing; Guillin, A.; Wu, L. 8 2014 Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril 8 2010 Trends to equilibrium in total variation distance. Zbl 1202.26028Cattiaux, Patrick; Guillin, Arnaud 7 2009 Large and moderate deviations for moving average processes. Zbl 1002.60028Djellout, H.; Guillin, A. 7 2001 Local estimation of the Hurst index of multifractional Brownian motion by increment ratio statistic method. Zbl 1395.62259Bertrand, Pierre Raphaël; Fhima, Mehdi; Guillin, Arnaud 7 2013 On the Poincaré constant of log-concave measures. Zbl 1453.60049Cattiaux, Patrick; Guillin, Arnaud 6 2020 Functional inequalities via Lyapunov conditions. Zbl 1338.46043Cattiaux, Patrick; Guillin, Arnaud 6 2014 Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition. Zbl 1406.58020Bolley, François; Gentil, Ivan; Guillin, Arnaud; Kuwada, Kazumasa 6 2018 Uniform moderate deviations of functional empirical processes of Markov chains. Zbl 0988.60019Guillin, A. 5 2000 Particles systems and numerical schemes for mean reflected stochastic differential equations. Zbl 1472.60093Briand, Philippe; de Raynal, Paul-Éric Chaudru; Guillin, Arnaud; Labart, Céline 5 2020 The functional moderate deviations for Harris recurrent Markov chains and applications. Zbl 1035.60021Chen, Xia; Guillin, Arnaud 5 2004 Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. Zbl 1354.60084Guillin, Arnaud; Monmarché, Pierre 4 2016 Estimation of the realized (co-)volatility vector: large deviations approach. Zbl 1372.60030Djellout, Hacène; Guillin, Arnaud; Samoura, Yacouba 4 2017 Transportation and concentration inequalities for bifurcating Markov chains. Zbl 1407.60095Bitseki Penda, S. Valère; Escobar-Bach, Mikael; Guillin, Arnaud 4 2017 Low-lying eigenvalues and convergence to the equilibrium of some piecewise deterministic Markov processes generators in the small temperature regime. Zbl 1454.35243Guillin, Arnaud; Nectoux, Boris 3 2020 The kinetic Fokker-Planck equation with mean field interaction. Zbl 1480.60235Guillin, Arnaud; Liu, Wei; Wu, Liming; Zhang, Chaoen 3 2021 Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes. Zbl 07445218Guillin, Arnaud; Monmarché, Pierre 3 2021 Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems. Zbl 07581735Guillin, Arnaud; Liu, Wei; Wu, Liming; Zhang, Chaoen 2 2022 Piecewise deterministic Markov processes and their invariant measures. Zbl 1484.60083Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 2 2021 Moderate deviations for particle filtering. Zbl 1072.60018Douc, R.; Guillin, A.; Najim, J. 2 2005 Measure concentration through non-Lipschitz observables and functional inequalities. Zbl 1282.60024Joulin, Aldéric; Guillin, Arnaud 2 2013 Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud 1 2022 Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud 1 2020 On the Simpson index for the Wright-Fisher process with random selection and immigration. Zbl 1458.92084Guillin, Arnaud; Jabot, Franck; Personne, Arnaud 1 2020 Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent 1 2018 New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. Zbl 1450.26006Bolley, François; Cordero-Erausquin, Dario; Fujita, Yasuhiro; Gentil, Ivan; Guillin, Arnaud 1 2020 Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems. Zbl 07581735Guillin, Arnaud; Liu, Wei; Wu, Liming; Zhang, Chaoen 2 2022 Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud 1 2022 The kinetic Fokker-Planck equation with mean field interaction. Zbl 1480.60235Guillin, Arnaud; Liu, Wei; Wu, Liming; Zhang, Chaoen 3 2021 Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes. Zbl 07445218Guillin, Arnaud; Monmarché, Pierre 3 2021 Piecewise deterministic Markov processes and their invariant measures. Zbl 1484.60083Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 2 2021 An elementary approach to uniform in time propagation of chaos. Zbl 1471.60123Durmus, Alain; Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael 16 2020 Geometric ergodicity of the bouncy particle sampler. Zbl 1472.60118Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre 8 2020 On the Poincaré constant of log-concave measures. Zbl 1453.60049Cattiaux, Patrick; Guillin, Arnaud 6 2020 Particles systems and numerical schemes for mean reflected stochastic differential equations. Zbl 1472.60093Briand, Philippe; de Raynal, Paul-Éric Chaudru; Guillin, Arnaud; Labart, Céline 5 2020 Low-lying eigenvalues and convergence to the equilibrium of some piecewise deterministic Markov processes generators in the small temperature regime. Zbl 1454.35243Guillin, Arnaud; Nectoux, Boris 3 2020 Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud 1 2020 On the Simpson index for the Wright-Fisher process with random selection and immigration. Zbl 1458.92084Guillin, Arnaud; Jabot, Franck; Personne, Arnaud 1 2020 New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. Zbl 1450.26006Bolley, François; Cordero-Erausquin, Dario; Fujita, Yasuhiro; Gentil, Ivan; Guillin, Arnaud 1 2020 Quantitative Harris-type theorems for diffusions and McKean-Vlasov processes. Zbl 1481.60154Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael 46 2019 Couplings and quantitative contraction rates for Langevin dynamics. Zbl 1466.60160Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael 38 2019 Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen 11 2019 Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. Zbl 1426.60066Bolley, François; Gentil, Ivan; Guillin, Arnaud 10 2018 Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition. Zbl 1406.58020Bolley, François; Gentil, Ivan; Guillin, Arnaud; Kuwada, Kazumasa 6 2018 Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent 1 2018 From a Kac-like particle system to the Landau equation for hard potentials and Maxwell molecules. (D’un système de particules de type Kac à l’équation de Landau pour des potentiels durs et des molécules maxwelliennes.) Zbl 1371.82086Fournier, Nicolas; Guillin, Arnaud 13 2017 Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015Cattiaux, Patrick; Guillin, Arnaud 12 2017 Estimation of the realized (co-)volatility vector: large deviations approach. Zbl 1372.60030Djellout, Hacène; Guillin, Arnaud; Samoura, Yacouba 4 2017 Transportation and concentration inequalities for bifurcating Markov chains. Zbl 1407.60095Bitseki Penda, S. Valère; Escobar-Bach, Mikael; Guillin, Arnaud 4 2017 Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. Zbl 1354.60084Guillin, Arnaud; Monmarché, Pierre 4 2016 On the rate of convergence in Wasserstein distance of the empirical measure. Zbl 1325.60042Fournier, Nicolas; Guillin, Arnaud 187 2015 Semi log-concave Markov diffusions. Zbl 1390.60286Cattiaux, P.; Guillin, A. 20 2014 Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application. Zbl 1293.60036Bitseki Penda, S. Valère; Djellout, Hacène; Guillin, Arnaud 15 2014 Dimensional contraction via Markov transportation distance. Zbl 1312.47055Bolley, François; Gentil, Ivan; Guillin, Arnaud 9 2014 Bernstein-type concentration inequalities for symmetric Markov processes. Zbl 1314.60065Gao, Fuqing; Guillin, A.; Wu, L. 8 2014 Functional inequalities via Lyapunov conditions. Zbl 1338.46043Cattiaux, Patrick; Guillin, Arnaud 6 2014 Uniform convergence to equilibrium for granular media. Zbl 1264.35040Bolley, François; Gentil, Ivan; Guillin, Arnaud 44 2013 Total variation estimates for the TCP process. Zbl 1283.68067Bardet, Jean-Baptiste; Christen, Alejandra; Guillin, Arnaud; Malrieu, Florent; Zitt, Pierre-André 26 2013 Poincaré inequalities and hitting times. Zbl 1270.26018Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André 21 2013 Local estimation of the Hurst index of multifractional Brownian motion by increment ratio statistic method. Zbl 1395.62259Bertrand, Pierre Raphaël; Fhima, Mehdi; Guillin, Arnaud 7 2013 Measure concentration through non-Lipschitz observables and functional inequalities. Zbl 1282.60024Joulin, Aldéric; Guillin, Arnaud 2 2013 Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality. Zbl 1306.60121Guillin, Arnaud; Wang, Feng-Yu 40 2012 Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations. Zbl 1253.35183Bolley, François; Gentil, Ivan; Guillin, Arnaud 40 2012 Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud 32 2012 Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 11 2011 Off-line detection of multiple change points by the filtered derivative with \(p\)-value method. Zbl 1215.62076Bertrand, Pierre Raphael; Fhima, Mehdi; Guillin, Arnaud 10 2011 Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029Bolley, François; Guillin, Arnaud; Malrieu, Florent 48 2010 Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril 27 2010 A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming 21 2010 Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril 8 2010 Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes. Zbl 1163.60034Douc, Randal; Fort, Gersende; Guillin, Arnaud 79 2009 Transportation-information inequalities for Markov processes. Zbl 1169.60304Guillin, Arnaud; Léonard, Christian; Wu, Liming; Yao, Nian 38 2009 Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming 29 2009 Trends to equilibrium in total variation distance. Zbl 1202.26028Cattiaux, Patrick; Guillin, Arnaud 7 2009 Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud 108 2008 A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud 78 2008 Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031Cattiaux, P.; Guillin, A.; Malrieu, F. 55 2008 Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011Cattiaux, Patrick; Guillin, Arnaud 21 2008 Bounds on regeneration times and limit theorems for subgeometric Markov chains. Zbl 1176.60063Douc, Randal; Guillin, Arnaud; Moulines, Eric 13 2008 \(L^q\)-functional inequalities and weighted porous media equations. Zbl 1148.26018Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu 12 2008 Quantitative concentration inequalities for empirical measures on non-compact spaces. Zbl 1113.60093Bolley, François; Guillin, Arnaud; Villani, Cédric 74 2007 Convergence of adaptive mixtures of importance sampling schemes. Zbl 1132.60022Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P. 30 2007 Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010Cattiaux, P.; Gentil, I.; Guillin, A. 21 2007 Minimum variance importance sampling via population Monte Carlo. Zbl 1181.60028Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P. 20 2007 Modified logarithmic Sobolev inequalities in null curvature. Zbl 1123.26022Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent 13 2007 On quadratic transportation cost inequalities. Zbl 1118.58017Cattiaux, Patrick; Guillin, Arnaud 28 2006 Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029Guillin, A.; Liptser, R. 28 2006 Moderate deviations of empirical periodogram and non-linear functionals of moving average processes. Zbl 1100.60010Djellout, H.; Guillin, A.; Wu, L. 21 2006 Modified logarithmic Sobolev inequalities and transportation inequalities. Zbl 1080.26010Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent 36 2005 Moderate deviations for particle filtering. Zbl 1072.60018Douc, R.; Guillin, A.; Najim, J. 2 2005 Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011Djellout, H.; Guillin, A.; Wu, L. 111 2004 The functional moderate deviations for Harris recurrent Markov chains and applications. Zbl 1035.60021Chen, Xia; Guillin, Arnaud 5 2004 Averaging principle of SDE with small diffusion: Moderate deviations. Zbl 1016.60031Guillin, A. 24 2003 Moderate deviations for Markov chains with atom. Zbl 1059.60029Djellout, H.; Guillin, A. 11 2001 Moderate deviations of inhomogeneous functionals of Markov processes and application to averaging. Zbl 1047.60022Guillin, Arnaud 10 2001 Large and moderate deviations for moving average processes. Zbl 1002.60028Djellout, H.; Guillin, A. 7 2001 Uniform moderate deviations of functional empirical processes of Markov chains. Zbl 0988.60019Guillin, A. 5 2000 Large and moderate deviations for estimators of quadratic variational processes of diffusions. Zbl 1059.60501Djellout, Hacène; Guillin, Arnaud; Wu, Liming 14 1999 all cited Publications top 5 cited Publications all top 5 Cited by 1,229 Authors 54 Guillin, Arnaud 25 Wang, Feng-Yu 23 Cattiaux, Patrick 21 Wu, Liming 14 Gentil, Ivan 14 Jiang, Hui 13 Bolley, François 13 Gao, Fuqing 13 Tugaut, Julian 12 Gozlan, Nathael 12 Ma, Yutao 12 Miao, Yu 12 Roberto, Cyril 11 Eberle, Andreas 11 Monmarché, Pierre 10 Bitseki Penda, S. Valère 10 Dolbeault, Jean 10 Durmus, Alain 10 Fournier, Nicolas 10 Röckner, Michael 10 Stoltz, Gabriel 10 Wang, Jian 10 Wang, Ran 9 Bao, Jianhai 9 Fathi, Max 9 Sarantsev, Andrey 8 Bogachev, Vladimir Igorevich 8 Carrillo de la Plata, José Antonio 8 Djellout, Hacène 8 Golomozyĭ, V. V. 8 Liu, Wei 8 Malrieu, Florent 8 Mischler, Stéphane 8 Moulines, Eric 8 Pavliotis, Grigorios A. 8 Shao, Jinghai 8 Shaposhnikov, Stanislav V. 8 Yuan, Chenggui 8 Zhang, Tusheng S. 8 Zhang, Zhengliang 7 Adamczak, Radosław 7 Del Moral, Pierre 7 Douc, Randal 7 Fontbona, Joaquin 7 Huang, Xing 7 Joulin, Aldéric 7 Kulik, Alexey M. 7 Li, Yumeng 7 Löcherbach, Eva 7 Mouhot, Clément 7 Wang, Xinyu 6 Barthe, Franck 6 Bonnefont, Michel 6 Choi, Young-Pil 6 Fan, Xiliang 6 Kartashov, Mykola Valentynovych 6 Li, Ruinan 6 Majka, Mateusz B. 6 Marin, Jean-Michel 6 Pal, Soumik 6 Ren, Panpan 6 Salem, Samir 6 Samson, Paul-Marie 6 Schlichting, André 6 Szpruch, Lukasz 6 Zimmer, Raphael 5 Arnaudon, Marc 5 Baudoin, Fabrice 5 Cancès, Clément 5 Cortez, Roberto 5 Dedecker, Jérôme 5 Gabriel, Pierre 5 Hauray, Maxime 5 Jourdain, Benjamin 5 Léonard, Christian 5 Li, Lei 5 Merlevède, Florence 5 Pang, Guodong 5 Robert, Christian P. Robert 5 Sandrić, Nikola 5 Strauch, Claudia 5 Xu, Huifu 5 Xu, Lihu 5 Zhai, Jianliang 4 Arapostathis, Aristotle 4 Bednorz, Witold Marek 4 Bernou, Armand 4 Boufoussi, Brahim 4 Bouin, Emeric 4 Chafaï, Djalil 4 Chen, Xin 4 Ding, Ying 4 Duncan, Andrew B. 4 Duong, Manh Hong 4 Fang, Shizan 4 Grothaus, Martin 4 Hairer, Martin 4 Lacker, Daniel 4 Liu, Jianguo 4 Lu, Jianfeng ...and 1,129 more Authors all top 5 Cited in 217 Serials 65 Stochastic Processes and their Applications 48 The Annals of Applied Probability 37 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 36 Journal of Functional Analysis 36 Bernoulli 35 Probability Theory and Related Fields 30 Statistics & Probability Letters 26 Journal of Theoretical Probability 22 The Annals of Probability 20 Journal of Statistical Physics 17 Potential Analysis 16 Electronic Journal of Probability 16 Kinetic and Related Models 15 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 14 Communications in Mathematical Physics 13 Journal of Mathematical Analysis and Applications 13 Theory of Probability and Mathematical Statistics 12 The Annals of Statistics 12 Journal of Applied Probability 12 Journal of Differential Equations 12 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 SIAM Journal on Mathematical Analysis 12 Discrete and Continuous Dynamical Systems 12 Stochastics and Dynamics 12 Frontiers of Mathematics in China 11 Acta Applicandae Mathematicae 11 Electronic Journal of Statistics 10 Stochastic Analysis and Applications 9 Mathematical Programming. Series A. Series B 9 Statistics and Computing 8 Advances in Applied Probability 8 Archive for Rational Mechanics and Analysis 8 Journal of Mathematical Physics 8 Stochastics 8 SIAM/ASA Journal on Uncertainty Quantification 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 7 SIAM Journal on Optimization 6 Transactions of the American Mathematical Society 6 Revista Matemática Iberoamericana 6 Electronic Communications in Probability 6 Infinite Dimensional Analysis, Quantum Probability and Related Topics 6 Acta Mathematica Sinica. English Series 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Bulletin des Sciences Mathématiques 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Science China. Mathematics 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Nonlinearity 4 Applied Mathematics and Optimization 4 Journal of Multivariate Analysis 4 Acta Mathematicae Applicatae Sinica. English Series 4 European Journal of Operational Research 4 SIAM Journal on Scientific Computing 4 Applied and Computational Harmonic Analysis 4 Journal of Mathematical Sciences (New York) 4 Statistical Inference for Stochastic Processes 4 Journal of Evolution Equations 4 Journal of Machine Learning Research (JMLR) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Multiscale Modeling & Simulation 4 ALEA. 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(English Edition) 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Computational and Graphical Statistics 3 Foundations of Data Science 3 SIAM Journal on Mathematics of Data Science 2 Journal of Computational Physics 2 Journal of Mathematical Biology 2 Lithuanian Mathematical Journal 2 Mathematical Notes 2 Physica A 2 Scandinavian Journal of Statistics 2 Chaos, Solitons and Fractals 2 Automatica 2 Inventiones Mathematicae 2 Journal of Approximation Theory 2 Journal of Statistical Planning and Inference 2 Memoirs of the American Mathematical Society 2 Insurance Mathematics & Economics 2 Operations Research Letters 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Statistics 2 Computers & Operations Research 2 Science in China. Series A 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni ...and 117 more Serials all top 5 Cited in 45 Fields 731 Probability theory and stochastic processes (60-XX) 222 Partial differential equations (35-XX) 203 Statistics (62-XX) 144 Statistical mechanics, structure of matter (82-XX) 131 Numerical analysis (65-XX) 75 Operator theory (47-XX) 69 Operations research, mathematical programming (90-XX) 63 Real functions (26-XX) 48 Dynamical systems and ergodic theory (37-XX) 48 Global analysis, analysis on manifolds (58-XX) 46 Calculus of variations and optimal control; optimization (49-XX) 43 Biology and other natural sciences (92-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Fluid mechanics (76-XX) 25 Measure and integration (28-XX) 25 Difference and functional equations (39-XX) 25 Functional analysis (46-XX) 25 Systems theory; control (93-XX) 22 Ordinary differential equations (34-XX) 21 Computer science (68-XX) 14 Differential geometry (53-XX) 10 Integral equations (45-XX) 10 Mechanics of particles and systems (70-XX) 9 Combinatorics (05-XX) 6 Approximations and expansions (41-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Convex and discrete geometry (52-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Relativity and gravitational theory (83-XX) 2 Number theory (11-XX) 2 General topology (54-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year