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Author ID: guillin.arnaud Recent zbMATH articles by "Guillin, Arnaud"
Published as: Guillin, Arnaud; Guillin, A.
External Links: MGP
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

Publications by Year

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 1325.60042
Fournier, Nicolas; Guillin, Arnaud
187
2015
Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011
Djellout, H.; Guillin, A.; Wu, L.
111
2004
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058
Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud
108
2008
Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes. Zbl 1163.60034
Douc, Randal; Fort, Gersende; Guillin, Arnaud
79
2009
A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011
Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud
78
2008
Quantitative concentration inequalities for empirical measures on non-compact spaces. Zbl 1113.60093
Bolley, François; Guillin, Arnaud; Villani, Cédric
74
2007
Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031
Cattiaux, P.; Guillin, A.; Malrieu, F.
55
2008
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
48
2010
Quantitative Harris-type theorems for diffusions and McKean-Vlasov processes. Zbl 1481.60154
Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael
46
2019
Uniform convergence to equilibrium for granular media. Zbl 1264.35040
Bolley, François; Gentil, Ivan; Guillin, Arnaud
44
2013
Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality. Zbl 1306.60121
Guillin, Arnaud; Wang, Feng-Yu
40
2012
Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations. Zbl 1253.35183
Bolley, François; Gentil, Ivan; Guillin, Arnaud
40
2012
Transportation-information inequalities for Markov processes. Zbl 1169.60304
Guillin, Arnaud; Léonard, Christian; Wu, Liming; Yao, Nian
38
2009
Couplings and quantitative contraction rates for Langevin dynamics. Zbl 1466.60160
Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael
38
2019
Modified logarithmic Sobolev inequalities and transportation inequalities. Zbl 1080.26010
Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent
36
2005
Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047
Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud
32
2012
Convergence of adaptive mixtures of importance sampling schemes. Zbl 1132.60022
Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P.
30
2007
Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007
Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming
29
2009
On quadratic transportation cost inequalities. Zbl 1118.58017
Cattiaux, Patrick; Guillin, Arnaud
28
2006
Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029
Guillin, A.; Liptser, R.
28
2006
Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039
Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril
27
2010
Total variation estimates for the TCP process. Zbl 1283.68067
Bardet, Jean-Baptiste; Christen, Alejandra; Guillin, Arnaud; Malrieu, Florent; Zitt, Pierre-André
26
2013
Averaging principle of SDE with small diffusion: Moderate deviations. Zbl 1016.60031
Guillin, A.
24
2003
Moderate deviations of empirical periodogram and non-linear functionals of moving average processes. Zbl 1100.60010
Djellout, H.; Guillin, A.; Wu, L.
21
2006
A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
21
2010
Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010
Cattiaux, P.; Gentil, I.; Guillin, A.
21
2007
Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011
Cattiaux, Patrick; Guillin, Arnaud
21
2008
Poincaré inequalities and hitting times. Zbl 1270.26018
Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André
21
2013
Minimum variance importance sampling via population Monte Carlo. Zbl 1181.60028
Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P.
20
2007
Semi log-concave Markov diffusions. Zbl 1390.60286
Cattiaux, P.; Guillin, A.
20
2014
An elementary approach to uniform in time propagation of chaos. Zbl 1471.60123
Durmus, Alain; Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael
16
2020
Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application. Zbl 1293.60036
Bitseki Penda, S. Valère; Djellout, Hacène; Guillin, Arnaud
15
2014
Large and moderate deviations for estimators of quadratic variational processes of diffusions. Zbl 1059.60501
Djellout, Hacène; Guillin, Arnaud; Wu, Liming
14
1999
Bounds on regeneration times and limit theorems for subgeometric Markov chains. Zbl 1176.60063
Douc, Randal; Guillin, Arnaud; Moulines, Eric
13
2008
Modified logarithmic Sobolev inequalities in null curvature. Zbl 1123.26022
Gentil, 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 1371.82086
Fournier, Nicolas; Guillin, Arnaud
13
2017
\(L^q\)-functional inequalities and weighted porous media equations. Zbl 1148.26018
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu
12
2008
Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015
Cattiaux, Patrick; Guillin, Arnaud
12
2017
Moderate deviations for Markov chains with atom. Zbl 1059.60029
Djellout, H.; Guillin, A.
11
2001
Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065
Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen
11
2019
Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
11
2011
Moderate deviations of inhomogeneous functionals of Markov processes and application to averaging. Zbl 1047.60022
Guillin, Arnaud
10
2001
Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. Zbl 1426.60066
Bolley, François; Gentil, Ivan; Guillin, Arnaud
10
2018
Off-line detection of multiple change points by the filtered derivative with \(p\)-value method. Zbl 1215.62076
Bertrand, Pierre Raphael; Fhima, Mehdi; Guillin, Arnaud
10
2011
Dimensional contraction via Markov transportation distance. Zbl 1312.47055
Bolley, François; Gentil, Ivan; Guillin, Arnaud
9
2014
Geometric ergodicity of the bouncy particle sampler. Zbl 1472.60118
Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre
8
2020
Bernstein-type concentration inequalities for symmetric Markov processes. Zbl 1314.60065
Gao, Fuqing; Guillin, A.; Wu, L.
8
2014
Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037
Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril
8
2010
Trends to equilibrium in total variation distance. Zbl 1202.26028
Cattiaux, Patrick; Guillin, Arnaud
7
2009
Large and moderate deviations for moving average processes. Zbl 1002.60028
Djellout, H.; Guillin, A.
7
2001
Local estimation of the Hurst index of multifractional Brownian motion by increment ratio statistic method. Zbl 1395.62259
Bertrand, Pierre Raphaël; Fhima, Mehdi; Guillin, Arnaud
7
2013
On the Poincaré constant of log-concave measures. Zbl 1453.60049
Cattiaux, Patrick; Guillin, Arnaud
6
2020
Functional inequalities via Lyapunov conditions. Zbl 1338.46043
Cattiaux, Patrick; Guillin, Arnaud
6
2014
Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition. Zbl 1406.58020
Bolley, François; Gentil, Ivan; Guillin, Arnaud; Kuwada, Kazumasa
6
2018
Uniform moderate deviations of functional empirical processes of Markov chains. Zbl 0988.60019
Guillin, A.
5
2000
Particles systems and numerical schemes for mean reflected stochastic differential equations. Zbl 1472.60093
Briand, Philippe; de Raynal, Paul-Éric Chaudru; Guillin, Arnaud; Labart, Céline
5
2020
The functional moderate deviations for Harris recurrent Markov chains and applications. Zbl 1035.60021
Chen, Xia; Guillin, Arnaud
5
2004
Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. Zbl 1354.60084
Guillin, Arnaud; Monmarché, Pierre
4
2016
Estimation of the realized (co-)volatility vector: large deviations approach. Zbl 1372.60030
Djellout, Hacène; Guillin, Arnaud; Samoura, Yacouba
4
2017
Transportation and concentration inequalities for bifurcating Markov chains. Zbl 1407.60095
Bitseki 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 1454.35243
Guillin, Arnaud; Nectoux, Boris
3
2020
The kinetic Fokker-Planck equation with mean field interaction. Zbl 1480.60235
Guillin, 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 07445218
Guillin, Arnaud; Monmarché, Pierre
3
2021
Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems. Zbl 07581735
Guillin, Arnaud; Liu, Wei; Wu, Liming; Zhang, Chaoen
2
2022
Piecewise deterministic Markov processes and their invariant measures. Zbl 1484.60083
Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre
2
2021
Moderate deviations for particle filtering. Zbl 1072.60018
Douc, R.; Guillin, A.; Najim, J.
2
2005
Measure concentration through non-Lipschitz observables and functional inequalities. Zbl 1282.60024
Joulin, Aldéric; Guillin, Arnaud
2
2013
Self-improvement of the Bakry-Emery criterion for Poincaré inequalities and Wasserstein contraction using variable curvature bounds. Zbl 1498.60324
Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud
1
2022
Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128
Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud
1
2020
On the Simpson index for the Wright-Fisher process with random selection and immigration. Zbl 1458.92084
Guillin, Arnaud; Jabot, Franck; Personne, Arnaud
1
2020
Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018
Boissard, Emmnuel; Cattiaux, Patrick; Guillin, Arnaud; Miclo, Laurent
1
2018
New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. Zbl 1450.26006
Bolley, François; Cordero-Erausquin, Dario; Fujita, Yasuhiro; Gentil, Ivan; Guillin, Arnaud
1
2020
Uniform Poincaré and logarithmic Sobolev inequalities for mean field particle systems. Zbl 07581735
Guillin, 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 1498.60324
Cattiaux, Patrick; Fathi, Max; Guillin, Arnaud
1
2022
The kinetic Fokker-Planck equation with mean field interaction. Zbl 1480.60235
Guillin, 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 07445218
Guillin, Arnaud; Monmarché, Pierre
3
2021
Piecewise deterministic Markov processes and their invariant measures. Zbl 1484.60083
Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre
2
2021
An elementary approach to uniform in time propagation of chaos. Zbl 1471.60123
Durmus, Alain; Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael
16
2020
Geometric ergodicity of the bouncy particle sampler. Zbl 1472.60118
Durmus, Alain; Guillin, Arnaud; Monmarché, Pierre
8
2020
On the Poincaré constant of log-concave measures. Zbl 1453.60049
Cattiaux, Patrick; Guillin, Arnaud
6
2020
Particles systems and numerical schemes for mean reflected stochastic differential equations. Zbl 1472.60093
Briand, 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 1454.35243
Guillin, Arnaud; Nectoux, Boris
3
2020
Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion. Zbl 1454.60128
Gackou, Gorgui; Guillin, Arnaud; Personne, Arnaud
1
2020
On the Simpson index for the Wright-Fisher process with random selection and immigration. Zbl 1458.92084
Guillin, Arnaud; Jabot, Franck; Personne, Arnaud
1
2020
New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality. Zbl 1450.26006
Bolley, François; Cordero-Erausquin, Dario; Fujita, Yasuhiro; Gentil, Ivan; Guillin, Arnaud
1
2020
Quantitative Harris-type theorems for diffusions and McKean-Vlasov processes. Zbl 1481.60154
Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael
46
2019
Couplings and quantitative contraction rates for Langevin dynamics. Zbl 1466.60160
Eberle, Andreas; Guillin, Arnaud; Zimmer, Raphael
38
2019
Entropic multipliers method for Langevin diffusion and weighted log Sobolev inequalities. Zbl 1461.60065
Cattiaux, Patrick; Guillin, Arnaud; Monmarché, Pierre; Zhang, Chaoen
11
2019
Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities. Zbl 1426.60066
Bolley, François; Gentil, Ivan; Guillin, Arnaud
10
2018
Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition. Zbl 1406.58020
Bolley, François; Gentil, Ivan; Guillin, Arnaud; Kuwada, Kazumasa
6
2018
Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain. Zbl 1452.60018
Boissard, 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 1371.82086
Fournier, Nicolas; Guillin, Arnaud
13
2017
Hitting times, functional inequalities, Lyapunov conditions and uniform ergodicity. Zbl 1359.39015
Cattiaux, Patrick; Guillin, Arnaud
12
2017
Estimation of the realized (co-)volatility vector: large deviations approach. Zbl 1372.60030
Djellout, Hacène; Guillin, Arnaud; Samoura, Yacouba
4
2017
Transportation and concentration inequalities for bifurcating Markov chains. Zbl 1407.60095
Bitseki Penda, S. Valère; Escobar-Bach, Mikael; Guillin, Arnaud
4
2017
Optimal linear drift for the speed of convergence of an hypoelliptic diffusion. Zbl 1354.60084
Guillin, Arnaud; Monmarché, Pierre
4
2016
On the rate of convergence in Wasserstein distance of the empirical measure. Zbl 1325.60042
Fournier, Nicolas; Guillin, Arnaud
187
2015
Semi log-concave Markov diffusions. Zbl 1390.60286
Cattiaux, P.; Guillin, A.
20
2014
Deviation inequalities, moderate deviations and some limit theorems for bifurcating Markov chains with application. Zbl 1293.60036
Bitseki Penda, S. Valère; Djellout, Hacène; Guillin, Arnaud
15
2014
Dimensional contraction via Markov transportation distance. Zbl 1312.47055
Bolley, François; Gentil, Ivan; Guillin, Arnaud
9
2014
Bernstein-type concentration inequalities for symmetric Markov processes. Zbl 1314.60065
Gao, Fuqing; Guillin, A.; Wu, L.
8
2014
Functional inequalities via Lyapunov conditions. Zbl 1338.46043
Cattiaux, Patrick; Guillin, Arnaud
6
2014
Uniform convergence to equilibrium for granular media. Zbl 1264.35040
Bolley, François; Gentil, Ivan; Guillin, Arnaud
44
2013
Total variation estimates for the TCP process. Zbl 1283.68067
Bardet, Jean-Baptiste; Christen, Alejandra; Guillin, Arnaud; Malrieu, Florent; Zitt, Pierre-André
26
2013
Poincaré inequalities and hitting times. Zbl 1270.26018
Cattiaux, Patrick; Guillin, Arnaud; Zitt, Pierre André
21
2013
Local estimation of the Hurst index of multifractional Brownian motion by increment ratio statistic method. Zbl 1395.62259
Bertrand, Pierre Raphaël; Fhima, Mehdi; Guillin, Arnaud
7
2013
Measure concentration through non-Lipschitz observables and functional inequalities. Zbl 1282.60024
Joulin, Aldéric; Guillin, Arnaud
2
2013
Degenerate Fokker-Planck equations: Bismut formula, gradient estimate and Harnack inequality. Zbl 1306.60121
Guillin, Arnaud; Wang, Feng-Yu
40
2012
Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations. Zbl 1253.35183
Bolley, François; Gentil, Ivan; Guillin, Arnaud
40
2012
Central limit theorems for additive functionals of ergodic Markov diffusions processes. Zbl 1277.60047
Cattiaux, Patrick; Chafaï, Djalil; Guillin, Arnaud
32
2012
Some remarks on weighted logarithmic Sobolev inequality. Zbl 1270.26017
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
11
2011
Off-line detection of multiple change points by the filtered derivative with \(p\)-value method. Zbl 1215.62076
Bertrand, Pierre Raphael; Fhima, Mehdi; Guillin, Arnaud
10
2011
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
48
2010
Functional inequalities for heavy tailed distributions and application to isoperimetry. Zbl 1205.60039
Cattiaux, Patrick; Gozlan, Nathael; Guillin, Arnaud; Roberto, Cyril
27
2010
A note on Talagrand’s transportation inequality and logarithmic Sobolev inequality. Zbl 1210.60024
Cattiaux, Patrick; Guillin, Arnaud; Wu, Li-Ming
21
2010
Poincaré inequality and the \(L^{p}\) convergence of semi-groups. Zbl 1223.26037
Cattiaux, Patrick; Guillin, Arnaud; Roberto, Cyril
8
2010
Subgeometric rates of convergence of \(f\)-ergodic strong Markov processes. Zbl 1163.60034
Douc, Randal; Fort, Gersende; Guillin, Arnaud
79
2009
Transportation-information inequalities for Markov processes. Zbl 1169.60304
Guillin, Arnaud; Léonard, Christian; Wu, Liming; Yao, Nian
38
2009
Lyapunov conditions for super Poincaré inequalities. Zbl 1167.26007
Cattiaux, Patrick; Guillin, Arnaud; Wang, Feng-Yu; Wu, Liming
29
2009
Trends to equilibrium in total variation distance. Zbl 1202.26028
Cattiaux, Patrick; Guillin, Arnaud
7
2009
Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré. Zbl 1146.60058
Bakry, Dominique; Cattiaux, Patrick; Guillin, Arnaud
108
2008
A simple proof of the Poincaré inequality for a large class of probability measures. Zbl 1186.26011
Bakry, Dominique; Barthe, Franck; Cattiaux, Patrick; Guillin, Arnaud
78
2008
Probabilistic approach for granular media equations in the non-uniformly convex case. Zbl 1169.35031
Cattiaux, P.; Guillin, A.; Malrieu, F.
55
2008
Deviation bounds for additive functionals of Markov processes. Zbl 1183.60011
Cattiaux, Patrick; Guillin, Arnaud
21
2008
Bounds on regeneration times and limit theorems for subgeometric Markov chains. Zbl 1176.60063
Douc, Randal; Guillin, Arnaud; Moulines, Eric
13
2008
\(L^q\)-functional inequalities and weighted porous media equations. Zbl 1148.26018
Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu
12
2008
Quantitative concentration inequalities for empirical measures on non-compact spaces. Zbl 1113.60093
Bolley, François; Guillin, Arnaud; Villani, Cédric
74
2007
Convergence of adaptive mixtures of importance sampling schemes. Zbl 1132.60022
Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P.
30
2007
Weak logarithmic Sobolev inequalities and entropic convergence. Zbl 1130.26010
Cattiaux, P.; Gentil, I.; Guillin, A.
21
2007
Minimum variance importance sampling via population Monte Carlo. Zbl 1181.60028
Douc, R.; Guillin, A.; Marin, J.-M.; Robert, C. P.
20
2007
Modified logarithmic Sobolev inequalities in null curvature. Zbl 1123.26022
Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent
13
2007
On quadratic transportation cost inequalities. Zbl 1118.58017
Cattiaux, Patrick; Guillin, Arnaud
28
2006
Examples of moderate deviation principle for diffusion processes. Zbl 1138.60029
Guillin, A.; Liptser, R.
28
2006
Moderate deviations of empirical periodogram and non-linear functionals of moving average processes. Zbl 1100.60010
Djellout, H.; Guillin, A.; Wu, L.
21
2006
Modified logarithmic Sobolev inequalities and transportation inequalities. Zbl 1080.26010
Gentil, Ivan; Guillin, Arnaud; Miclo, Laurent
36
2005
Moderate deviations for particle filtering. Zbl 1072.60018
Douc, R.; Guillin, A.; Najim, J.
2
2005
Transportation cost-information inequalities and applications to random dynamical systems and diffusions. Zbl 1061.60011
Djellout, H.; Guillin, A.; Wu, L.
111
2004
The functional moderate deviations for Harris recurrent Markov chains and applications. Zbl 1035.60021
Chen, Xia; Guillin, Arnaud
5
2004
Averaging principle of SDE with small diffusion: Moderate deviations. Zbl 1016.60031
Guillin, A.
24
2003
Moderate deviations for Markov chains with atom. Zbl 1059.60029
Djellout, H.; Guillin, A.
11
2001
Moderate deviations of inhomogeneous functionals of Markov processes and application to averaging. Zbl 1047.60022
Guillin, Arnaud
10
2001
Large and moderate deviations for moving average processes. Zbl 1002.60028
Djellout, H.; Guillin, A.
7
2001
Uniform moderate deviations of functional empirical processes of Markov chains. Zbl 0988.60019
Guillin, A.
5
2000
Large and moderate deviations for estimators of quadratic variational processes of diffusions. Zbl 1059.60501
Djellout, Hacène; Guillin, Arnaud; Wu, Liming
14
1999
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. Latin American Journal of Probability and Mathematical Statistics
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Annales Henri Lebesgue
3 Studia Mathematica
3 Mathematics of Operations Research
3 Operations Research
3 Proceedings of the American Mathematical Society
3 Probability and Mathematical Statistics
3 Applied Mathematics Letters
3 Queueing Systems
3 The Journal of Geometric Analysis
3 Communications in Statistics. Theory and Methods
3 Annales Mathématiques Blaise Pascal
3 Annales Henri Poincaré
3 Foundations of Computational Mathematics
3 Acta Mathematica Scientia. Series B. (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)

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