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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

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

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

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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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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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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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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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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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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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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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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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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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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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
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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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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

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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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
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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

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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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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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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Non ultracontractive heat kernel bounds by Lyapunov conditions

 François Bolley , Arnaud Guillin , Xinyu Wang
2013
Pré-publication, Document de travail hal-00881876v2

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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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
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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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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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Law of Large Numbers for Bayesian two-layer Neural Network trained with Variational Inference

 Arnaud Descours , Tom Huix , Arnaud Guillin , Manon Michel , Éric Moulines , et al.
2023
Pré-publication, Document de travail hal-04153801v1
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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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