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Arnaud Guillin

93
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Publications

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Central Limit Theorem for Bayesian Neural Network trained with Variational Inference

Arnaud Descours , Tom Huix , Arnaud Guillin , Manon Michel , Éric Moulines
2024
Pré-publication, Document de travail hal-04599502v1
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Limit theorems for multivariate self-similar symmetric stable moving average processes: a study with p-variations

Marie-Eliette Dury , Nourddine Azzaoui , Arnaud Guillin
2024
Pré-publication, Document de travail hal-04530456v1
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Jamming pair of general run-and-tumble particles: Exact results and universality classes

Leo Hahn , Arnaud Guillin , Manon Michel
2023
Pré-publication, Document de travail hal-04164034v1
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Law of Large Numbers for Bayesian two-layer Neural Network trained with Variational Inference

Arnaud Descours , Tom Huix , Arnaud Guillin , Manon Michel , Éric Moulines
2023
Pré-publication, Document de travail hal-04153801v1
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Necessary and sufficient symmetries in Event-Chain Monte Carlo with generalized flows and Application to hard dimers

Tristan Guyon , Arnaud Guillin , Manon Michel
2023
Pré-publication, Document de travail hal-04164032v1
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Law of large numbers and central limit theorem for wide two-layer neural networks: the mini-batch and noisy case

Arnaud Descours , Arnaud Guillin , Manon Michel , Boris Nectoux
2023
Pré-publication, Document de travail hal-03737557v2
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Sticky nonlinear SDEs and convergence of McKean-Vlasov equations without confinement

Arnaud Guillin , Alain Durmus , Andreas Eberle , Katharina Schuh
2022
Pré-publication, Document de travail hal-03536620v1
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DISCRETE STICKY COUPLING OF FUNCTIONAL AUTOREGRESSIVE PROCESSES

Alain Durmus , Andreas Eberle , Aurélien Enfroy , Arnaud Guillin , Pierre Monmarché
2021
Pré-publication, Document de travail hal-03199226v1
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WHEN CAN THE DISCRETE MORAN PROCESS BE REPLACED BY WRIGHT-FISHER DIFFUSION?

Gorgui Gackou , Arnaud Guillin , Arnaud Personne
2019
Pré-publication, Document de travail hal-02116608v2
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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
2016
Pré-publication, Document de travail hal-01364728v3
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Optimal linear drift for the speed of convergence of an hypoelliptic diffusion

Arnaud Guillin , Pierre Monmarché
2016
Pré-publication, Document de travail hal-01306884v2
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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
2013
Pré-publication, Document de travail hal-00876170v1
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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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Functional Inequalities via Lyapunov conditions

Patrick Cattiaux , Arnaud Guillin
2010
Pré-publication, Document de travail hal-00446104v2
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Local estimation of the Hurst index of multifractional Brownian motion by Increment Ratio Statistic method

Pierre, Raphael Bertrand , Mehdi Fhima , Arnaud Guillin
2010
Pré-publication, Document de travail hal-00528935v1
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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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Rate of Converrgence for ergodic continuous Markov processes : Lyapunov versus Poincare.

Dominique Bakry , Patrick Cattiaux , Arnaud Guillin
2007
Pré-publication, Document de travail hal-00136208v1
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Bounds on Regeneration Times and Limit Theorems for Subgeometric Markov Chains

Randal Douc , Arnaud Guillin , Éric Moulines
2006
Pré-publication, Document de travail hal-00016396v1

Deviation bounds for additive functionals of Markov processes

Patrick Cattiaux , Arnaud Guillin
2006
Pré-publication, Document de travail hal-00020035v1

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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Ml-Gle: A Machine Learning Enhanced Generalized Langevin Equation Framework for Transient Anomalous Diffusion in Polymer Dynamics

Gian-Michele Cherchi , Alain Dequidt , Arnaud Guillin , Nicolas Martzel , Patrice Hauret
Journal of Computational Physics, 2024, 514, pp.113210. ⟨10.1016/j.jcp.2024.113210⟩
Article dans une revue hal-04624890v1
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Different physics but similar dependence of runout distance with discharge rate: the duality of pyroclastic density currents

Olivier Roche , Nourddine Azzaoui , Arnaud Guillin
Bulletin of Volcanology, 2024, 86 (7), pp.65. ⟨10.1007/s00445-024-01750-8⟩
Article dans une revue hal-04630062v1
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A JOURNEY WITH THE INTEGRATED Γ2 CRITERION AND ITS WEAK FORMS

Patrick Cattiaux , Arnaud Guillin
GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS, 2023, pp.167-208. ⟨10.48550/arXiv.2201.07475⟩
Article dans une revue hal-03533183v1
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On systems of particles in singular repulsive interaction in dimension one : log and Riesz gas

Arnaud Guillin , Pierre Le Bris , Pierre Monmarché
Journal de l'École polytechnique — Mathématiques, 2023, 10, pp.867-916. ⟨10.5802/jep.235⟩
Article dans une revue hal-03650705v1
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PDMP characterisation of event-chain Monte Carlo algorithms for particle systems

Athina Monemvassitis , Arnaud Guillin , Manon Michel
Journal of Statistical Physics, 2023, 190 (3), pp.66. ⟨10.1007/s10955-023-03069-8⟩
Article dans une revue hal-03759174v1
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UNIFORM POINCARÉ AND LOGARITHMIC SOBOLEV INEQUALITIES FOR MEAN FIELD PARTICLES SYSTEMS

Arnaud Guillin , Wei Liu , Liming Wu , Chaoen Zhang
The Annals of Applied Probability, 2022, 32 (3), ⟨10.1214/21-AAP1707⟩
Article dans une revue hal-02287711v1
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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
Journal de Mathématiques Pures et Appliquées, 2022, 166, pp.1-29. ⟨10.1016/j.matpur.2022.07.003⟩
Article dans une revue hal-02486264v1
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POINCARÉ AND LOGARITHMIC SOBOLEV INEQUALITIES FOR NEARLY RADIAL MEASURES

Patrick Cattiaux , Arnaud Guillin , Li Ming Wu
Acta Mathematica Sinica English Series, 2022, 38 (8), pp.1377-1398. ⟨10.1007/s10114-022-0501-3⟩
Article dans une revue hal-02418658v1
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Functional inequalities for perturbed measures with applications to log-concave measures and to some Bayesian problems

Patrick Cattiaux , Arnaud Guillin
Bernoulli, 2022, 28 (4), ⟨10.3150/21-BEJ1419⟩
Article dans une revue hal-03120626v1
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Piecewise Deterministic Markov Processes and their invariant measure

Alain Durmus , Arnaud Guillin , Pierre Monmarché
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2021, 57 (3), ⟨10.1214/20-AIHP1125⟩
Article dans une revue hal-01839333v1
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Penalised least square in sparse setting with convex penalty and non gaussian errors

Doualeh Abdillahi-Ali , Nourddine Azzaoui , Arnaud Guillin , Guillaume Le Mailloux , Tomoko Matsui
Acta Mathematica Scientia, 2021, 41 (6), pp.2198-2216. ⟨10.1007/s10473-021-0624-0⟩
Article dans une revue hal-03240201v1

Uniform long-time and propagation of chaos estimates for mean field kinetic particles in non-convex landscapes

Arnaud Guillin , Pierre Monmarché
Journal of Statistical Physics, 2021, 185 (2), pp.15. ⟨10.1007/s10955-021-02839-6⟩
Article dans une revue hal-02504451v1
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THE KINETIC FOKKER-PLANCK EQUATION WITH MEAN FIELD INTERACTION

Arnaud Guillin , Wei Liu , Liming Wu , Chaoen Zhang
Journal de Mathématiques Pures et Appliquées, 2021, 150, pp.1-23. ⟨10.1016/j.matpur.2021.04.001⟩
Article dans une revue hal-02387517v1
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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
Annales Henri Poincaré, 2020, 21 (11), pp.3575-3608. ⟨10.1007/s00023-020-00949-7⟩
Article dans une revue hal-02436593v3
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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
International Mathematics Research Notices, In press, 2020 (10), pp.3042-3083. ⟨10.1093/imrn/rny111⟩
Article dans une revue hal-01464530v3
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GEOMETRIC ERGODICITY OF THE BOUNCY PARTICLE SAMPLER

Alain Durmus , Arnaud Guillin , Pierre Monmarché
The Annals of Applied Probability, 2020, 30 (5), pp.2069-2098. ⟨10.1214/19-AAP1552⟩
Article dans une revue hal-01839335v1

Quantitative approximation of the discrete Moran process by a Wright-Fisher diffusion

Arnaud Guillin , Gorgui Gackou , Arnaud Personne
Journal of Mathematical Biology, 2020, 81 (2), pp.575-602. ⟨10.1007/s10955-021-02839-6⟩
Article dans une revue hal-04607814v1
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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
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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

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
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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
Scientific Reports, 2019, 9 (1), ⟨10.1038/s41598-019-38595-7⟩
Article dans une revue hal-02043523v1

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
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Entropic multipliers method for langevin diffusion and weighted log sobolev inequalities

Patrick Cattiaux , Arnaud Guillin , Pierre Monmarché , Chaoen Zhang
Journal of Functional Analysis, 2019, 277 (11), ⟨10.1016/j.jfa.2019.108288⟩
Article dans une revue hal-01571610v1

Couplings and quantitative contraction rates for Langevin dynamics

Andreas Eberle , Arnaud Guillin , Raphael Zimmer
Annals of Probability, 2019, 47 (4), pp.1982-2010
Article dans une revue hal-01484275v1
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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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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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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
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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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LARGE DEVIATIONS OF THE REALIZED (CO-)VOLATILITY VECTOR

Hacène Djellout , Arnaud Guillin , Yacouba Samoura
Stochastic Processes and their Applications, 2017
Article dans une revue hal-01082903v1
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Transportation cost-information and concentration inequalities for bifurcating Markov chains

Siméon Valère Bitseki Penda , Mikael Escobar-Bach , Arnaud Guillin
Bernoulli, 2017, 23 (4B), pp.3213-3242. ⟨10.3150/16-BEJ843⟩
Article dans une revue hal-01109760v1
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HITTING TIMES, FUNCTIONAL INEQUALITIES, LYAPUNOV CONDITIONS AND UNIFORM ERGODICITY

Patrick Cattiaux , Arnaud Guillin
Journal of Functional Analysis, 2017, 272 (6), pp.2361-2391. ⟨10.1016/j.jfa.2016.10.003⟩
Article dans une revue hal-01303903v1
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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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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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Deviation inequalities, Moderate deviations and some limit theorems for bifurcating Markov chains with application.

Valère Bitseki Penda , Hacène Djellout , Arnaud Guillin
The Annals of Applied Probability, 2014, 24 (1), pp.235-291. ⟨10.1214/13-AAP921⟩
Article dans une revue hal-00646588v2
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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
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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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Total variation estimates for the TCP process

Jean-Baptiste Bardet , Alejandra Christen , Arnaud Guillin , Florent Malrieu , Pierre-André Zitt
Electronic Journal of Probability, 2013, 18 (10), pp.1-21. ⟨10.1214/EJP.v18-1720⟩
Article dans une revue hal-00655462v2
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Bernstein type's concentration inequalities for symmetric Markov processes

Fuqing Gao , Arnaud Guillin , Liming Wu
Theory of Probability and Its Applications c/c of Teoriia Veroiatnostei i Ee Primenenie, 2013, 58 (3), pp.521-549. ⟨10.4213/tvp4524⟩
Article dans une revue hal-00455598v2
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Poincaré inequalities and hitting times

Patrick Cattiaux , Arnaud Guillin , Pierre-André Zitt
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2013, 49 (1), p. 95-118. ⟨10.1214/11-AIHP447⟩
Article dans une revue hal-00550125v1

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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Central limit theorems for additive functionals of ergodic Markov diffusions processes

Patrick Cattiaux , Djalil Chafai , Arnaud Guillin
ALEA : Latin American Journal of Probability and Mathematical Statistics, 2012, 9 (2), pp.337-382
Article dans une revue hal-00585271v1
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Convergence to equilibrium in Wasserstein distance for Fokker-Planck equations

François Bolley , Ivan Gentil , Arnaud Guillin
Journal of Functional Analysis, 2012, 263 (8), pp.2430-2457. ⟨10.1016/j.bbr.2011.03.031⟩
Article dans une revue hal-00632941v2
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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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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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Poincaré inequality and the Lp convergence of semi-groups

Patrick Cattiaux , Arnaud Guillin , Cyril Roberto
Electronic Communications in Probability, 2010, 15, pp.270-280
Article dans une revue hal-00461085v2
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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⟩
Article dans une revue 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
Article dans une revue hal-00461214v2

A note on Talagrand's transportation inequality and logarithmic Sobolev inequality

Patrick Cattiaux , Arnaud Guillin , Li-Ming Wu
Probability Theory and Related Fields, 2010, 148 (1-2), pp.285-304. ⟨10.1007/s00440-009-0231-9⟩
Article dans une revue hal-00629506v1
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A note on Talagrand's transportation inequality and logarithmic Sobolev inequality

Patrick Cattiaux , Arnaud Guillin , Li-Ming Wu
Probability Theory and Related Fields, 2010, 148 (1-2), pp.285-304. ⟨10.1007/s00440-009-0231-9⟩
Article dans une revue hal-00335566v1
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Transportation-information inequalities for Markov processes

Arnaud Guillin , Christian Léonard , Liming Wu , Nian Yao
Probability Theory and Related Fields, 2009, 144 (3-4), pp.669-695
Article dans une revue hal-00158258v1
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TRENDS TO EQUILIBRIUM IN TOTAL VARIATION DISTANCE

Patrick Cattiaux , Arnaud Guillin
Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques, 2009, 45 (1), pp.117-145. ⟨10.1214/07-AIHP152⟩
Article dans une revue hal-00136779v1
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Subgeometric rates of convergence of f-ergodic strong Markov processes

Randal Douc , Gersende Fort , Arnaud Guillin
Stochastic Processes and their Applications, 2009, 119 (3), pp.897-923. ⟨10.1016/j.spa.2008.03.007⟩
Article dans une revue hal-00077681v1

Lyapunov conditions for Super Poincaré inequalities

Patrick Cattiaux , Arnaud Guillin , Feng-Yu Wang , Liming Wu
Journal of Functional Analysis, 2009, 256 (6), pp.1821-1841. ⟨10.1016/j.jfa.2009.01.003⟩
Article dans une revue hal-00666808v1
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Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality

Patrick Cattiaux , Arnaud Guillin , Feng-Yu Wang , Liming Wu
Journal of Functional Analysis, 2009, 256 (6), pp.1821-1841
Article dans une revue hal-00193261v1
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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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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
Article dans une revue hal-00021591v1

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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Adaptive Importance Sampling in General Mixture Classes

Olivier Cappé , Randal Douc , Arnaud Guillin , Jean-Michel Marin , Christian P. Robert
Statistics and Computing, 2008, 18 (4), pp.447-459. ⟨10.1007/s11222-008-9059-x⟩
Article dans une revue hal-00180669v4
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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
Article dans une revue hal-00016868v2

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
Article dans une revue hal-00453883v1
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Weak logarithmic Sobolev inequalities and entropic convergence

Patrick Cattiaux , Ivan Gentil , Arnaud Guillin
Probability Theory and Related Fields, 2007, 139 (3-4), pp.563-603
Article dans une revue hal-00013700v2

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
Article dans une revue hal-00469713v1
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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

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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ON THE POINCARÉ CONSTANT OF LOG-CONCAVE MEASURES

Patrick Cattiaux , Arnaud Guillin
Geometric Aspects of Functional Analysis, 2256, Springer International Publishing; Springer International Publishing, pp.171-217, 2020, Lecture Notes in Mathematics, ⟨10.1007/978-3-030-36020-7_9⟩
Chapitre d'ouvrage hal-01898372v1
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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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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