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UNIFORM POINCARÉ AND LOGARITHMIC SOBOLEV INEQUALITIES FOR MEAN FIELD PARTICLES SYSTEMS

Arnaud Guillin , Wei Liu , Liming Wu , Chaoen Zhang
2019
Preprints, Working Papers, ... 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
Journal articles hal-00122415v1
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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
Book sections hal-00805299v1

Bismut Formula and Harnack Inequality for Fokker-Planck Equations

Arnaud Guillin , Feng-Yu Wang
2011
Preprints, Working Papers, ... 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
Journal articles hal-00668800v1
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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
Journal articles hal-00688780v1
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A JOURNEY WITH THE INTEGRATED Γ2 CRITERION AND ITS WEAK FORMS

Patrick Cattiaux , Arnaud Guillin
2022
Preprints, Working Papers, ... hal-03533183v1

A criterion for Talagrand's quadratic transportation cost inequality

Patrick Cattiaux , Arnaud Guillin
2003
Preprints, Working Papers, ... hal-00133642v1
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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
Journal articles hal-00001609v1
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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⟩
Book sections 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)
Journal articles hal-00857842v1
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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⟩
Journal articles hal-02043523v1
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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⟩
Journal articles hal-00300766v1
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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
Journal articles hal-01171361v4
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Poincaré inequality and the Lp convergence of semi-groups

Patrick Cattiaux , Arnaud Guillin , Cyril Roberto
Electronic Communications in Probability, 2010, 15, pp.270-280
Journal articles hal-00461085v2
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CLASSIFYING HEARTRATE BY CHANGE DETECTION AND WAVELET METHODS FOR EMERGENCY PHYSICIANS

Nourddine Azzaoui , Pierre, Raphael Bertrand , Arnaud Guillin , Gil Boudet , Alain Chamoux et al.
2013
Preprints, Working Papers, ... hal-00876170v1
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New sharp Gagliardo-Nirenberg-Sobolev inequalities and an improved Borell-Brascamp-Lieb inequality

François Bolley , Dario Cordero-Erausquin , Yasuhiro Fujita , Ivan Gentil , Arnaud Guillin et al.
International Mathematics Research Notices, In press, 10, pp.3042-3083. ⟨10.1093/imrn/rny111⟩
Journal articles hal-01464530v3
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Piecewise Deterministic Markov Processes and their invariant measure

Alain Durmus , Arnaud Guillin , Pierre Monmarché
2018
Preprints, Working Papers, ... hal-01839333v1
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Probabilistic approach for granular media equations in the non uniformly convex case.

Patrick Cattiaux , Arnaud Guillin , Florent Malrieu
Probability Theory and Related Fields, 2008, 140 (1-2), pp.19-40
Journal articles hal-00021591v1
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Modified logarithmic Sobolev inequalities in null curvature

Ivan Gentil , Arnaud Guillin , Laurent Miclo
Revista Matemática Iberoamericana, 2007, 23 (1), pp.237-260
Journal articles hal-00016868v2

Moderate deviations of empirical periodogram and non-linear functionals of moving average processes.

Hacène Djellout , Arnaud Guillin , Liming Wu
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2006, 42 (4), pp.393--416
Journal articles hal-00469713v1
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Total variation estimates for the TCP process

Jean-Baptiste Bardet , Alejandra Christen , Arnaud Guillin , Florent Malrieu , Pierre-André Zitt et al.
Electronic Journal of Probability, 2013, 18 (10), pp.1-21. ⟨10.1214/EJP.v18-1720⟩
Journal articles hal-00655462v2
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Low lying eigenvalues and convergence to the equilibrium of some Piecewise Deterministic Markov Processes generators in the small temperature regime

Arnaud Guillin , Boris Nectoux
2022
Preprints, Working Papers, ... hal-02436593v3
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MODERATE DEVIATIONS FOR BIPOWER VARIATION OF GENERAL FUNCTION AND HAYASHI-YOSHIDA ESTIMATORS

Hacène Djellout , Arnaud Guillin , Hui Jiang , Yacouba Samoura , Liban Ismail et al.
2016
Preprints, Working Papers, ... hal-01364728v3
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SELF-IMPROVEMENT OF THE BAKRY-EMERY CRITERION FOR POINCARÉ INEQUALITIES AND WASSERSTEIN CONTRACTION USING VARIABLE CURVATURE BOUNDS

Patrick Cattiaux , Max Fathi , Arnaud Guillin
2020
Preprints, Working Papers, ... hal-02486264v1
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GEOMETRIC ERGODICITY OF THE BOUNCY PARTICLE SAMPLER

Alain Durmus , Arnaud Guillin , Pierre Monmarché
Annals of Applied Probability, 2020, 30 (5), pp.2069-2098
Journal articles hal-01839335v1
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Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

Francois Bolley , Arnaud Guillin , Florent Malrieu
ESAIM: Mathematical Modelling and Numerical Analysis, 2010, 44 (5), pp.867-884. ⟨10.1051/m2an/2010045⟩
Journal articles hal-00392397v1
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Off-line detection of multiple change points with the Filtered Derivative with p-Value method

Pierre R. Bertrand , Mehdi Fhima , Arnaud Guillin
Sequential Analysis, 2010, pp.26
Journal articles hal-00461214v2
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Bernstein type's concentration inequalities for symmetric Markov processes

Fuqing Gao , Arnaud Guillin , Liming Wu
2010
Preprints, Working Papers, ... hal-00455598v2

Quantitative concentration inequalities for empirical measures on non-compact spaces

François Bolley , Arnaud Guillin , Cédric Villani
Probability Theory and Related Fields, 2007, 137, pp.541-593
Journal articles hal-00453883v1