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UNIFORM POINCARÉ AND LOGARITHMIC SOBOLEV INEQUALITIES FOR MEAN FIELD PARTICLES SYSTEMS

 Arnaud Guillin , Wei Liu , Liming Wu , Chaoen Zhang
Annals of Applied Probability, 2022, 32 (3), ⟨10.1214/21-AAP1707⟩
Article dans une revue hal-02287711v1
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Lq-functional inequalities and weighted porous media equations

 Jean Dolbeault , Ivan Gentil , Arnaud Guillin , Feng-Yu Wang
Potential Analysis, 2008, 28, pp.35-59
Article dans une revue hal-00122415v1
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Uniform convergence to equilibrium for granular media

 François Bolley , Ivan Gentil , Arnaud Guillin
Archive for Rational Mechanics and Analysis, 2013, 208 (2), pp.429-445
Article dans une revue hal-00688780v1

Bismut Formula and Harnack Inequality for Fokker-Planck Equations

 Arnaud Guillin , Feng-Yu Wang
Journal of Differential Equations, 2012, 253 (1), pp.20-40. ⟨10.1016/j.jde.2012.03.014⟩
Article dans une revue hal-00577195v1
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Measure concentration through non-Lipschitz observables and functional inequalities

 Arnaud Guillin , Aldéric Joulin
Electronic Journal of Probability, 2013, 18
Article dans une revue hal-00668800v1
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Semi Log-Concave Markov Diffusions

 Patrick Cattiaux , Arnaud Guillin
Séminaire de probabilités XLVI, 2123, Springer, pp 231-292, 2014, Lecture notes in mathematics
Chapitre d'ouvrage hal-00805299v1

A criterion for Talagrand's quadratic transportation cost inequality

 Patrick Cattiaux , Arnaud Guillin
2003
Pré-publication, Document de travail hal-00133642v1
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Ornstein-Uhlenbeck pinball and the Poincaré inequality in a punctured domain.

 Emmanuel Boissard , Patrick Cattiaux , Arnaud Guillin , Laurent Miclo
Séminaire de Probabilités XLIX., 2215, Springer, pp.1-55, 2018, Lecture Notes in Mathematics, ⟨10.1007/978-3-319-92420-5_1⟩
Chapitre d'ouvrage hal-01930389v1
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Ornstein-Uhlenbeck pinball: I. Poincaré inequalities in a punctured domain.

 Emmanuel Boissard , Patrick Cattiaux , Arnaud Guillin , Laurent Miclo
Séminaire de Probabilités, 2018, XLIX (2215)
Article dans une revue hal-00857842v1
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A JOURNEY WITH THE INTEGRATED Γ2 CRITERION AND ITS WEAK FORMS

 Patrick Cattiaux , Arnaud Guillin
2022
Pré-publication, Document de travail hal-03533183v1
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Functional inequalities for heavy tails distributions and application to isoperimetry

 Patrick Cattiaux , Nathael Gozlan , Arnaud Guillin , Cyril Roberto
Electronic Journal of Probability, 2010, 15 (13), pp.364-385. ⟨10.1214/EJP.v15-754⟩
Article dans une revue hal-00300766v1
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Modified logarithmic Sobolev inequalities and transportation inequalities

 Ivan Gentil , Arnaud Guillin , Laurent Miclo
Probability Theory and Related Fields, 2005, 133 (3), pp.409-436
Article dans une revue hal-00001609v1
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Low efficiency of large volcanic eruptions in transporting very fine ash into the atmosphere

 Mathieu Gouhier , Julia Eychenne , Nourddine Azzaoui , Arnaud Guillin , Mathieu Deslandes , et al.
Scientific Reports, 2019, 9 (1), ⟨10.1038/s41598-019-38595-7⟩
Article dans une revue hal-02043523v1
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Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities

 François Bolley , Ivan Gentil , Arnaud Guillin
Annals of Probability, 2018, 46 (1), pp.261-301. ⟨10.1214/17-AOP1184⟩
Article dans une revue hal-01171361v4
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FROM A KAC-LIKE PARTICLE SYSTEM TO THE LANDAU EQUATION FOR HARD POTENTIALS AND MAXWELL MOLECULES

 Nicolas Fournier , Arnaud Guillin
Annales Scientifiques de l'École Normale Supérieure, 2017, 50 (1), pp.157-199
Article dans une revue hal-01211559v1
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Transportation-information inequalities for Markov processes (II) : relations with other functional inequalities

 Arnaud Guillin , Christian Léonard , Feng-Yu Wang , Liming Wu
2009
Pré-publication, Document de travail hal-00360854v1
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Non ultracontractive heat kernel bounds by Lyapunov conditions

 François Bolley , Arnaud Guillin , Xinyu Wang
2013
Pré-publication, Document de travail hal-00881876v2
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On the Simpson index for the Moran process with random selection and immigration

 Arnaud Personne , Arnaud Guillin , Franck Jabot
International Journal of Biomathematics, 2020, 13 (6), ⟨10.1142/S1793524520500461⟩
Article dans une revue hal-01877501v1

A generic deep-learning based defect segmentation model for electron micrographs for automatic defect inspection

 Julien Baderot , Ali Hallal , Martin Jacob , Vincent Barra , Arnaud Guillin , et al.
SPIE Advanced Lithography, Feb 2023, San José, California, United States
Communication dans un congrès hal-03904731v1
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Equivalence between dimensional contractions in Wasserstein distance and the curvature-dimension condition

 François Bolley , Ivan Gentil , Arnaud Guillin , Kazumasa Kuwada
Annali della Scuola Normale Superiore di Pisa, 2018, 18 (4), pp.1-36
Article dans une revue hal-01220776v1

A simple proof of the Poincaré inequality for a large class of probability measures including the log-concave case

 Dominique Bakry , Franck Barthe , Patrick Cattiaux , Arnaud Guillin
Electronic Communications in Probability, 2008, 13, pp.60-66
Article dans une revue hal-00634523v1

Rate of convergence for ergodic continuous Markov processes : Lyapunov versus Poincaré

 Dominique Bakry , Patrick Cattiaux , Arnaud Guillin
Journal of Functional Analysis, 2008, 254 (3), pp.727-759. ⟨10.1016/j.jfa.2007.11.002⟩
Article dans une revue hal-00634524v1
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On the rate of convergence in Wasserstein distance of the empirical measure

 Nicolas Fournier , Arnaud Guillin
Probability Theory and Related Fields, 2015, 162 (3-4), pp.707
Article dans une revue hal-00915365v1
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Functional Inequalities via Lyapunov conditions

 Patrick Cattiaux , Arnaud Guillin
2010
Pré-publication, Document de travail hal-00446104v2

Quantitative Harris type theorems for diffusions and McKean-Vlasov processes

 Andreas Eberle , Arnaud Guillin , Raphael Zimmer
Transactions of the American Mathematical Society, 2019, 371 (10), pp.7135-7173
Article dans une revue hal-01334806v1

PARTICLES SYSTEMS AND NUMERICAL SCHEMES FOR MEAN REFLECTED STOCHASTIC DIFFERENTIAL EQUATIONS

 Philippe Briand , Paul-Eric Chaudru de Raynal , Arnaud Guillin , Céline Labart
The Annals of Applied Probability, 2020, 30 (4), pp.1884-1909
Article dans une revue hal-01421479v1

Population Monte Carlo

 Olivier Cappé , Arnaud Guillin , Jean-Michel Marin , Christian Robert
Journal of Computational and Graphical Statistics, 2004, 13 (4), pp.907-929
Article dans une revue hal-01337419v1
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Dimensional contraction via Markov transportation distance

 François Bolley , Ivan Gentil , Arnaud Guillin
Journal of the London Mathematical Society, 2014, 90 (1), pp.309-332
Article dans une revue hal-00808717v3
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An elementary approach to uniform in time propagation of chaos

 Alain Durmus , Andreas Eberle , Arnaud Guillin , Raphael Zimmer
Proceedings of the American Mathematical Society, 2020, 148 (12), pp.5387-5398. ⟨10.1090/proc/14612⟩
Article dans une revue hal-01801275v1
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Some remarks on weighted logarithmic Sobolev inequality

 Patrick Cattiaux , Arnaud Guillin , Liming Wu
Indiana University Mathematics Journal, 2011, 60 (6), pp.1885-1904
Article dans une revue hal-00485124v1
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