Arnaud Guillin

Publications

Article dans une revue (69)

Jamming pair of general run-and-tumble particles: exact results, symmetries and steady-state universality classes Leo Hahn,Arnaud Guillin,Manon Michel Journal of Physics A: Mathematical and Theoretical, 2025, 58 (15), pp.155001. ⟨10.1088/1751-8121/adc3df⟩ Article dans une revue hal-04164034v2
Sharp propagation of chaos for McKean-Vlasov equation with non constant diffusion coefficient Jules Grass,Arnaud Guillin,Christophe Poquet Electronic Communications in Probability, 2025, 30 (none), ⟨10.1214/25-ECP701⟩ Article dans une revue hal-04755491v1
Long-time analysis of a pair of on-lattice and continuous run-and-tumble particles with jamming interactions Arnaud Guillin,Leo Hahn,Manon Michel Journal of Statistical Physics, 2025, 192 (9), pp.123. ⟨10.1007/s10955-025-03485-y⟩ Article dans une revue hal-04792894v2
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
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 Journal of Machine Learning Research, 2024, 25 (208), pp.1--76 Article dans une revue hal-03737557v2
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 Hauretet al. Journal of Computational Physics, 2024, 514, pp.113210. ⟨10.1016/j.jcp.2024.113210⟩ Article dans une revue hal-04624890v1
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
Necessary and sufficient symmetries in Event-Chain Monte Carlo with generalized flows and Application to hard dimers Tristan Guyon,Arnaud Guillin,Manon Michel The Journal of Chemical Physics, 2023, 160 (2), pp.024117. ⟨10.1063/5.0168077⟩ Article dans une revue hal-04164032v2
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-03759174v2
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
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
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
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
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
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
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
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
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
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
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
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
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
Low efficiency of large volcanic eruptions in transporting very fine ash into the atmosphere Mathieu Gouhier,Julia Eychenne,Nourddine Azzaoui,Arnaud Guillin,Mathieu Deslandeset al. 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
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 The Annals of Probability, 2019, 47 (4), pp.1982-2010 Article dans une revue hal-01484275v1
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
Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities François Bolley,Ivan Gentil,Arnaud Guillin The Annals of Probability, 2018, 46 (1), pp.261-301. ⟨10.1214/17-AOP1184⟩ Article dans une revue hal-01171361v4
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
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
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
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
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
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
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
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
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
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
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
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
Bernstein type's concentration inequalities for symmetric Markov processes Fuqing Gao,Arnaud Guillin,Liming Wu Theory of Probability and its Applications, 2013, 58 (3), pp.521-549. ⟨10.4213/tvp4524⟩ Article dans une revue hal-00455598v2
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
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
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
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
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
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
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
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
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
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
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
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 istex hal-00666808v1
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 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
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
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 istex hal-00634524v1
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
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
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
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
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
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
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
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

Communication dans un congrès (5)

A generic deep-learning based defect segmentation model for electron micrographs for automatic defect inspection Julien Baderot,Ali Hallal,Martin Jacob,Vincent Barra,Arnaud Guillinet al. SPIE Advanced Lithography, Feb 2023, San José, California, United States Communication dans un congrès hal-03904731v1
Law of Large Numbers for Bayesian two-layer Neural Network trained with Variational Inference Arnaud Descours,Tom Huix,Arnaud Guillin,Manon Michel,Éric Moulineset al. The Thirty Sixth Annual Conference on Learning Theory, Jul 2023, Bangalore, India. pp.4657-4695 Communication dans un congrès hal-04153801v1
ML-Enhanced Generalized Langevin Equation for Transient Anomalous Diffusion in Polymer Dynamics Gian-Michele Cherchi,Alain Dequidt,Arnaud Guillin,Vincent Barra,Nicolas Martzelet al. NeurIPS 2023 Workshop: Machine Learning and the Physical Sciences, Dec 2023, NewOrleans, United States Communication dans un congrès hal-04274138v1
An analysis of the relationship between mass eruption rate and runout distance of pyroclastic density currents Olivier Roche,N. Azzaoui,Arnaud Guillin Joint JpGU-AGU meeting, Jul 2020, Chiba, Japan Communication dans un congrès hal-03003795v1
Fast change point analysis on the Hurst index of piecewise fractional Brownian motion Mehdi Fhima,Arnaud Guillin,Pierre R., Bertrand Journée de Statistiques 2011 (JDS 2011), May 2011, Tunis, Tunisia. pp.XXX Communication dans un congrès hal-00578532v1

Chapitre d'ouvrage (4)

A JOURNEY WITH THE INTEGRATED Γ2 CRITERION AND ITS WEAK FORMS Patrick Cattiaux,Arnaud Guillin Eldan, R., Klartag, B., Litvak, A., Milman, E. (eds). Geometric aspects of functional analysis. Israel seminar (GAFA) 2020–2022., Vol. 2327, Springer, pp.167-208, 2023, Lecture Notes in Mathematics, 978-3-031-26299-9. ⟨10.1007/978-3-031-26300-2_5⟩ Chapitre d'ouvrage hal-03533183v1
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
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
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

Pré-publication, Document de travail (24)

Weak Functional Inequalities for Perturbed Measures Patrick Cattiaux,Paula Cordero-Encinar,Arnaud Guillin 2026 Pré-publication, Document de travail hal-05544959v1
Uniform-in-time concentration in two-layer neural networks via transportation inequalities Arnaud Guillin,Boris Nectoux,Paul Stos 2026 Pré-publication, Document de travail (preprint/prepublication) hal-05526186v1
Diffusion annealed Langevin dynamics: a theoretical study Patrick Cattiaux,Paula Cordero-Encinar,Arnaud Guillin 2025 Pré-publication, Document de travail hal-05364424v1
Activity-driven clustering of jamming run-and-tumble particles: Exact three-body steady state by dynamical symmetry Leo Hahn,Arnaud Guillin,Manon Michel 2025 Pré-publication, Document de travail (preprint/prepublication) hal-05251588v1
Propagation of chaos in Fisher information Jules Grass,Christophe Poquet,Arnaud Guillin 2025 Pré-publication, Document de travail hal-05379873v1
QUASI-STATIONARITY OF THE DYSON BROWNIAN MOTION WITH COLLISIONS Arnaud Guillin,Boris Nectoux,Liming Wu 2025 Pré-publication, Document de travail hal-05028593v2
Convergence of non-reversible Markov processes via lifting and flow Poincaré inequality Andreas Eberle,Arnaud Guillin,Leo Hahn,Francis Lörler,Manon Michel 2025 Pré-publication, Document de travail hal-04977666v2
Central Limit Theorem for Bayesian Neural Network trained with Variational Inference Arnaud Descours,Tom Huix,Arnaud Guillin,Manon Michel,Éric Moulineset al. 2024 Pré-publication, Document de travail hal-04599502v1
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
ERROR ESTIMATES BETWEEN SGD WITH MOMENTUM AND UNDERDAMPED LANGEVIN DIFFUSION Arnaud Guillin,Yu Wang,Lihu Xu,Haoran Yang 2024 Pré-publication, Document de travail hal-04746813v1
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
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
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
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
Optimal linear drift for the speed of convergence of an hypoelliptic diffusion Arnaud Guillin,Pierre Monmarché 2016 Pré-publication, Document de travail hal-01306884v2
Non ultracontractive heat kernel bounds by Lyapunov conditions François Bolley,Arnaud Guillin,Xinyu Wang 2013 Pré-publication, Document de travail hal-00881876v2
CLASSIFYING HEARTRATE BY CHANGE DETECTION AND WAVELET METHODS FOR EMERGENCY PHYSICIANS Nourddine Azzaoui,Pierre, Raphael Bertrand,Arnaud Guillin,Gil Boudet,Alain Chamouxet al. 2013 Pré-publication, Document de travail hal-00876170v1
Functional Inequalities via Lyapunov conditions Patrick Cattiaux,Arnaud Guillin 2010 Pré-publication, Document de travail hal-00446104v2
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
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
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
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

Rapport (1)

Adaptive Importance Sampling in General Mixture Classes Olivier Cappé,Randal Douc,Arnaud Guillin,Jean-Michel Marin,Christian P. Robert [Research Report] RR-6332, INRIA. 2008 Rapport (rapport de recherche) inria-00181474v4