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Antoine Gloria

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Publications

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

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

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

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

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

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
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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

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

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
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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

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
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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
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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
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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
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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
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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

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

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

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
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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
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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

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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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An optimal variance estimate in stochastic homogenization of discrete elliptic equations

Antoine Gloria , Felix Otto
Annals of Probability, 2011, 39 (3), pp.779-856. ⟨10.1214/10-AOP571⟩
Article dans une revue hal-00383953v4
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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
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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
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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

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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Multiscale modeling and numerical methods in nonlinear elasticity

Antoine Gloria
Modeling and Simulation. Ecole des Ponts ParisTech, 2007. English. ⟨NNT : ⟩
Thèse tel-00166171v1
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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