Antoine Gloria

Publications

Article dans une revue (52)

Effective viscosity of semi-dilute suspensions Mitia Duerinckx,Antoine Gloria Séminaire Laurent Schwartz - EDP et applications, 2022, 3, pp.1-14. ⟨10.5802/slsedp.155⟩ Article dans une revue hal-03878859v1
Quantitative homogenization theory for random suspensions in steady Stokes flow Mitia Duerinckx,Antoine Gloria Journal de l'École polytechnique — Mathématiques, 2022, 9, pp.1183-1244. ⟨10.5802/jep.204⟩ Article dans une revue hal-03456187v1
Sedimentation of random suspensions and the effect of hyperuniformity Mitia Duerinckx,Antoine Gloria Annals of PDE, 2022, 8 (2), ⟨10.1007/s40818-021-00115-0⟩ Article dans une revue hal-03456136v1
A short proof of Gevrey regularity for homogenized coefficients of the Poisson point process Mitia Duerinckx,Antoine Gloria Comptes Rendus. Mathématique, 2022, 360 (G8), pp.909-918. ⟨10.5802/crmath.354⟩ Article dans une revue hal-03874278v1
Scaling limit of the homogenization commutator for correlated coefficient fields Mitia Duerinckx,Julian Fischer,Antoine Gloria The Annals of Applied Probability, 2022, 32 (2), pp.1179-1209. ⟨10.1214/21-AAP1705⟩ Article dans une revue hal-03456108v1
Approximate normal forms via Floquet-Bloch theory: Nehorosev stability for linear waves in quasiperiodic media Mitia Duerinckx,Antoine Gloria,Christopher Shirley Communications in Mathematical Physics, 2021, 383 (2), pp.633-683. ⟨10.1007/s00220-021-03966-7⟩ Article dans une revue hal-01876846v3
Enhancement of elasto-dielectrics by homogenization of active charges Gilles Francfort,Antoine Gloria,Oscar Lopez-Pamies Journal de Mathématiques Pures et Appliquées, 2021, 156, pp.392-419. ⟨10.1016/j.matpur.2021.10.002⟩ Article dans une revue hal-03874276v1
Quantitative estimates in stochastic homogenization for correlated coefficient fields Antoine Gloria,Stefan Neukamm,Felix Otto Analysis & PDE, 2021, 14 (8), pp.2497-2537. ⟨10.2140/apde.2021.14.2497⟩ Article dans une revue hal-03874275v1
Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions Mitia Duerinckx,Antoine Gloria Archive for Rational Mechanics and Analysis, 2021, 239, pp.1025-1060. ⟨10.1007/s00205-020-01589-1⟩ Article dans une revue hal-03456090v1
A Scalar Version of the Caflisch‐Luke Paradox Antoine Gloria Communications on Pure and Applied Mathematics, 2021, 74 (7), pp.1403-1452. ⟨10.1002/cpa.21970⟩ Article dans une revue hal-03874279v1
From statistical polymer physics to nonlinear elasticity Marco Cicalese,Antoine Gloria,Matthias Ruf Archive for Rational Mechanics and Analysis, 2020, 236, pp.1127-1215. ⟨10.1007/s00205-019-01487-1⟩ Article dans une revue hal-01876841v1
Multiscale functional inequalities in probability: constructive approach Mitia Duerinckx,Antoine Gloria Annales Henri Lebesgue, 2020, 3, pp.825-872. ⟨10.5802/ahl.47⟩ Article dans une revue hal-01633040v2
The structure of fluctuations in stochastic homogenization Mitia Duerinckx,Antoine Gloria,Felix Otto Communications in Mathematical Physics, 2020, 377, pp.259-306. ⟨10.1007/s00220-020-03722-3⟩ Article dans une revue hal-01398515v1
Multiscale functional inequalities in probability: concentration properties Mitia Duerinckx,Antoine Gloria ALEA : Latin American Journal of Probability and Mathematical Statistics, 2020, 17 (133-157), ⟨10.30757/ALEA.v17-06⟩ Article dans une revue hal-01633041v2
A regularity theory for random elliptic operators Antoine Gloria,Stefan Neukamm,Felix Otto Milan Journal of Mathematics, 2020, 88, pp.99-170. ⟨10.1007/s00032-020-00309-4⟩ Article dans une revue hal-01093368v1
Robustness of the pathwise structure of fluctuations in stochastic homogenization Mitia Duerinckx,Antoine Gloria,Felix Otto Probability Theory and Related Fields, 2020, 178 (1-2), pp.531-566. ⟨10.1007/s00440-020-00983-w⟩ Article dans une revue hal-01876842v2
Loss of Strong Ellipticity Through Homogenization in 2D Linear Elasticity: A Phase Diagram Antoine Gloria,Matthias Ruf Archive for Rational Mechanics and Analysis, 2019, 231, pp.845-886. ⟨10.1007/s00205-018-1290-9⟩ Article dans une revue hal-01876877v1
A remark on a surprising result by Bourgain in homogenization Mitia Duerinckx,Antoine Gloria,Marius Lemm Communications in Partial Differential Equations, 2019, 44 (12), pp.1345-1357. ⟨10.1080/03605302.2019.1638934⟩ Article dans une revue hal-03874280v1
Long-time homogenization and asymptotic ballistic transport of classical waves Antoine Benoit,Antoine Gloria Annales Scientifiques de l'École Normale Supérieure, 2019, 52 (3), pp.703-759. ⟨10.24033/asens.2395⟩ Article dans une revue hal-01449353v3
Stochastic homogenization of nonconvex unbounded integral functionals with convex growth Mitia Duerinckx,Antoine Gloria Archive for Rational Mechanics and Analysis, 2016, 221 (3), pp.1511--1584. ⟨10.1007/s00205-016-0992-0⟩ Article dans une revue hal-01192752v1
Reduction of the resonance error in numerical homogenisation II: correctors and extrapolation Antoine Gloria,Zakaria Habibi Foundations of Computational Mathematics, 2016, 16 (1), pp.217--296. ⟨10.1007/s10208-015-9246-z⟩ Article dans une revue hal-00933234v2
Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas Mitia Duerinckx,Antoine Gloria Archive for Rational Mechanics and Analysis, 2016, 220 (1), pp.297--361. ⟨10.1007/s00205-015-0933-3⟩ Article dans une revue hal-01138797v1
Bounded correctors in almost periodic homogenization Scott Armstrong,Antoine Gloria,Tuomo Kuusi Archive for Rational Mechanics and Analysis, 2016, 222 (1), pp.393--426. ⟨10.1007/s00205-016-1004-0⟩ Article dans une revue hal-01230991v1
Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity Gilles A Francfort,Antoine Gloria Comptes Rendus. Mathématique, 2016, 354, pp.1139 - 1144. ⟨10.1016/j.crma.2016.09.014⟩ Article dans une revue hal-01398518v1
A quantitative central limit theorem for the effective conductance on the discrete torus Antoine Gloria,James Nolen Communications on Pure and Applied Mathematics, 2016, 69 (12), pp.2304--2348. ⟨10.1002/cpa.21614⟩ Article dans une revue hal-01093352v1
Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws Maya de Buhan,Antoine Gloria,Patrick Le Tallec,Marina Vidrascu International Journal of Solids and Structures, 2015, pp.16. ⟨10.1016/j.ijsolstr.2015.02.026⟩ Article dans une revue hal-00933240v1
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations Antoine Gloria,Stefan Neukamm,Felix Otto ESAIM: Mathematical Modelling and Numerical Analysis, 2014, 48 (2), pp.325-346. ⟨10.1051/m2an/2013110⟩ Article dans une revue hal-00863488v2
When are increment-stationary random point sets stationary? Antoine Gloria Electronic Communications in Probability, 2014, 19 (30), pp.1-14. ⟨10.1214/ECP.v19-3288⟩ Article dans une revue hal-00863414v3
Foundation, analysis, and numerical investigation of a variational network-based model for rubber Antoine Gloria,Patrick Le Tallec,Marina Vidrascu Continuum Mechanics and Thermodynamics, 2014, 26 (1), pp.1--31. ⟨10.1007/s00161-012-0281-6⟩ Article dans une revue hal-00673406v2
Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization Antoine Gloria,Felix Otto ESAIM: Proceedings and Surveys, 2014, pp.26. ⟨10.1051/proc/201448003⟩ Article dans une revue hal-01060499v1
Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage Antoine Gloria,Thierry Goudon,Stella Krell Mathematical Models and Methods in Applied Sciences, 2013, 23 (13), pp.1-33. ⟨10.1142/S0218202513500395⟩ Article dans une revue hal-00674519v2
Quantitative version of the Kipnis-Varadhan theorem and Monte-Carlo approximation of homogenized coefficients Antoine Gloria,Jean-Christophe Mourrat The Annals of Applied Probability, 2013, 23 (4), pp.1544-1583. ⟨10.1214/12-AAP880⟩ Article dans une revue inria-00579424v4
Random parking, Euclidean functionals, and rubber elasticity Antoine Gloria,Mathew Penrose Communications in Mathematical Physics, 2013, 321 (1), pp.31. ⟨10.1007/s00220-013-1725-y⟩ Article dans une revue hal-00675037v1
Fluctuation of solutions to linear elliptic equations with noisy diffusion coefficients Antoine Gloria Communications in Partial Differential Equations, 2013, 38 (2), pp.35. ⟨10.1080/03605302.2012.715319⟩ Article dans une revue hal-00674445v2
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations Antoine Gloria ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46, pp.1-38. ⟨10.1051/m2an/2011018⟩ Article dans une revue inria-00510514v3
An optimal error estimate in stochastic homogenization of discrete elliptic equations Antoine Gloria,Felix Otto The Annals of Applied Probability, 2012, 22 (1), pp.1-28. ⟨10.1214/10-AAP745⟩ Article dans une revue inria-00457020v3
Spectral measure and approximation of homogenized coefficients Antoine Gloria,Jean-Christophe Mourrat Probability Theory and Related Fields, 2012, 154, pp.287-326. ⟨10.1007/s00440-011-0370-7⟩ Article dans une revue inria-00510513v2
Numerical homogenization: survey, new results, and perspectives Antoine Gloria ESAIM: Proceedings, 2012, 37, pp.50-116. ⟨10.1051/proc/201237002⟩ Article dans une revue hal-00766743v1
Commutability of homogenization and linearization at identity in finite elasticity and applications Antoine Gloria,Stefan Neukamm Annales de l'Institut Henri Poincaré (C), Analyse non linéaire, 2011, 28, pp.941-964. ⟨10.1016/j.anihpc.2011.07.002⟩ Article dans une revue inria-00540615v1
Reduction of the resonance error. Part 1: Approximation of homogenized coefficients Antoine Gloria Mathematical Models and Methods in Applied Sciences, 2011, 21 (8), pp.1601-1630. ⟨10.1142/S0218202511005507⟩ Article dans une revue inria-00457159v1
Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems Jean-François Coulombel,Antoine Gloria Mathematics of Computation, 2011, 80 (273), pp.165-203. ⟨10.1090/S0025-5718-10-02368-9⟩ Article dans une revue hal-00383891v1
Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity Roberto Alicandro,Marco Cicalese,Antoine Gloria Archive for Rational Mechanics and Analysis, 2011, 200, pp.881-943. ⟨10.1007/s00205-010-0378-7⟩ Article dans une revue inria-00437765v1
An optimal variance estimate in stochastic homogenization of discrete elliptic equations Antoine Gloria,Felix Otto The Annals of Probability, 2011, 39 (3), pp.779-856. ⟨10.1214/10-AOP571⟩ Article dans une revue hal-00383953v4
New counterexamples to the cell formula in nonconvex homogenization Marco Barchiesi,Antoine Gloria Archive for Rational Mechanics and Analysis, 2010, 195, pp.991-1204. ⟨10.1007/s00205-009-0226-9⟩ Article dans une revue hal-00767100v1
A partitioned Newton method for the interaction of a fluid and a 3D shell structure Miguel Angel Fernández,Jean-Frédéric Gerbeau,Antoine Gloria,Marina Vidrascu Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, 2010, 19 (5-7), pp.479-512. ⟨10.3166/ejcm.19.479-512⟩ Article dans une revue hal-00701792v1
An analytical framework for numerical homogenization - Part II: windowing and oversampling Antoine Gloria Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2008, 7 (1), pp.274-293. ⟨10.1137/070683143⟩ Article dans une revue inria-00132118v4
Variational description of bulk energies for bounded and unbounded spin systems Roberto Alicandro,Marco Cicalese,Antoine Gloria Nonlinearity, 2008, 21, pp.1881-1910. ⟨10.1088/0951-7715/21/8/008⟩ Article dans une revue hal-00766738v1
Stochastic diffeomorphisms and homogenization of multiple integrals Antoine Gloria Applied Mathematics Research eXpress, 2008, 2008 (abn001), pp.1-23. ⟨10.1093/amrx/abn001⟩ Article dans une revue inria-00176568v2
Exact bounds on the effective behaviour of a conducting discrete polycrystal Andrea Braides,Antoine Gloria Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2008, 6 (4), pp.1198-1216. ⟨10.1137/06067184X⟩ Article dans une revue hal-00766730v1
Mathematical derivation of a rubber-like stored energy functional Roberto Alicandro,Marco Cicalese,Antoine Gloria Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 345 (8), pp.479-482. ⟨10.1016/j.crma.2007.10.005⟩ Article dans une revue hal-00766739v1
A direct approach to numerical homogenization in finite elasticity Antoine Gloria Networks and Heterogeneous Media, 2006, 1 (1), pp.109-141 Article dans une revue inria-00070383v1
An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies Antoine Gloria Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2006, 5 (3), pp.996-1043. ⟨10.1137/060649112⟩ Article dans une revue inria-00070230v1

Communication dans un congrès (1)

Convergence analysis of the Böl-Reese discrete model for rubber Roberto Alicandro,Marco Cicalese,Antoine Gloria Continuum Models and Discrete Systems CMDS 11, Jul 2007, Paris, France Communication dans un congrès inria-00166846v4

Pré-publication, Document de travail (8)

Homogenization of active suspensions and reduction of effective viscosity Armand Bernou,Mitia Duerinckx,Antoine Gloria 2023 Pré-publication, Document de travail hal-03922898v1
The Clausius-Mossotti formula Mitia Duerinckx,Antoine Gloria 2022 Pré-publication, Document de travail (preprint/prepublication) hal-03876866v1
Continuum percolation in stochastic homogenization and the effective viscosity problem Mitia Duerinckx,Antoine Gloria 2021 Pré-publication, Document de travail hal-03456192v1
Quantitative nonlinear homogenization: control of oscillations Nicolas Clozeau,Antoine Gloria 2021 Pré-publication, Document de travail hal-03874284v1
On Einstein's effective viscosity formula Mitia Duerinckx,Antoine Gloria 2020 Pré-publication, Document de travail (preprint/prepublication) hal-03456138v1
Weighted second-order Poincaré inequalities: Application to RSA models Mitia Duerinckx,Antoine Gloria 2017 Pré-publication, Document de travail hal-01633042v1
The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations Antoine Gloria,Felix Otto 2016 Pré-publication, Document de travail hal-01230985v1
Quantitative theory in stochastic homogenization Antoine Gloria,Felix Otto 2014 Pré-publication, Document de travail hal-00933251v1

Rapport (2)

Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version Antoine Gloria,Stefan Neukamm,Felix Otto [Research Report] 2013, pp.106 Rapport (rapport de recherche) hal-00782075v1
A partitioned Newton method for the interaction of a fluid and a 3D shell structure Miguel Angel Fernández,Jean-Frédéric Gerbeau,Antoine Gloria,Marina Vidrascu [Research Report] RR-6623, INRIA. 2008, pp.30 Rapport (rapport de recherche) inria-00315765v1

Thèse (1)

Multiscale modeling and numerical methods in nonlinear elasticity Antoine Gloria Modeling and Simulation. Ecole des Ponts ParisTech, 2007. English. ⟨NNT : ⟩ Thèse tel-00166171v1

HDR (1)

Qualitative and quantitative results in stochastic homogenization Antoine Gloria Analysis of PDEs [math.AP]. Université des Sciences et Technologie de Lille - Lille I, 2012 HDR tel-00779306v1