Mitia Duerinckx, Antoine Gloria. Corrector equations in fluid mechanics: Effective viscosity of colloidal suspensions. Archive for Rational Mechanics and Analysis, Springer Verlag, 2021. ⟨hal-03456090⟩

Mitia Duerinckx, Antoine Gloria, Christopher Shirley. Approximate normal forms via Floquet-Bloch theory: Nehorosev stability for linear waves in quasiperiodic media. Communications in Mathematical Physics, Springer Verlag, 2021, 383 (2), pp.633-683. ⟨10.1007/s00220-021-03966-7⟩. ⟨hal-01876846v3⟩

Mitia Duerinckx, Julian Fischer, Antoine Gloria. Scaling limit of the homogenization commutator for correlated coefficient fields. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2021. ⟨hal-03456108⟩

Mitia Duerinckx, Antoine Gloria, Felix Otto. Robustness of the pathwise structure of fluctuations in stochastic homogenization. Probability Theory and Related Fields, Springer Verlag, 2020, 178 (1-2), pp.531-566. ⟨10.1007/s00440-020-00983-w⟩. ⟨hal-01876842v2⟩

Mitia Duerinckx, Antoine Gloria. Multiscale functional inequalities in probability: concentration properties. ALEA : Latin American Journal of Probability and Mathematical Statistics, Instituto Nacional de Matemática Pura e Aplicada, 2020. ⟨hal-01633041v2⟩

Mitia Duerinckx, Antoine Gloria. Multiscale functional inequalities in probability: constructive approach. Annales Henri Lebesgue, UFR de Mathématiques - IRMAR, 2020. ⟨hal-01633040v2⟩

Antoine Gloria, Matthias Ruf. Loss of Strong Ellipticity Through Homogenization in 2D Linear Elasticity: A Phase Diagram. Archive for Rational Mechanics and Analysis, Springer Verlag, 2018, ⟨10.1007/s00205-018-1290-9⟩. ⟨hal-01876877⟩

Antoine Benoit, Antoine Gloria. Long-time homogenization and asymptotic ballistic transport of classical waves. Annales Scientifiques de l'École Normale Supérieure, Société mathématique de France, In press. ⟨hal-01449353v3⟩

Mitia Duerinckx, Antoine Gloria. Stochastic homogenization of nonconvex unbounded integral functionals with convex growth. Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 221 (3), pp.1511--1584. ⟨10.1007/s00205-016-0992-0⟩. ⟨hal-01192752⟩

Mitia Duerinckx, Antoine Gloria. Analyticity of homogenized coefficients under Bernoulli perturbations and the Clausius-Mossotti formulas. Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 220 (1), pp.297--361. ⟨10.1007/s00205-015-0933-3⟩. ⟨hal-01138797⟩

Antoine Gloria, James Nolen. A quantitative central limit theorem for the effective conductance on the discrete torus. Communications on Pure and Applied Mathematics, Wiley, 2016, 69 (12), pp.2304--2348. ⟨10.1002/cpa.21614⟩. ⟨hal-01093352⟩

Antoine Gloria, Zakaria Habibi. Reduction of the resonance error in numerical homogenisation II: correctors and extrapolation. Foundations of Computational Mathematics, Springer Verlag, 2016, 16 (1), pp.217--296. ⟨10.1007/s10208-015-9246-z⟩. ⟨hal-00933234v2⟩

Scott Armstrong, Antoine Gloria, Tuomo Kuusi. Bounded correctors in almost periodic homogenization. Archive for Rational Mechanics and Analysis, Springer Verlag, 2016, 222 (1), pp.393--426. ⟨10.1007/s00205-016-1004-0⟩. ⟨hal-01230991⟩

Gilles A Francfort, Antoine Gloria. Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2016, 354, pp.1139 - 1144. ⟨10.1016/j.crma.2016.09.014⟩. ⟨hal-01398518⟩

Maya de Buhan, Antoine Gloria, Patrick Le Tallec, Marina Vidrascu. Reconstruction of a constitutive law for rubber from in silico experiments using Ogden's laws. International Journal of Solids and Structures, Elsevier, 2015, pp.16. ⟨10.1016/j.ijsolstr.2015.02.026⟩. ⟨hal-00933240⟩

Antoine Gloria, Stefan Neukamm, Felix Otto. An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (2), pp.325-346. ⟨10.1051/m2an/2013110⟩. ⟨hal-00863488v2⟩

Antoine Gloria, Patrick Le Tallec, Marina Vidrascu. Foundation, analysis, and numerical investigation of a variational network-based model for rubber. Continuum Mechanics and Thermodynamics, Springer Verlag, 2014, 26 (1), pp.1--31. ⟨10.1007/s00161-012-0281-6⟩. ⟨hal-00673406v2⟩

Antoine Gloria, Felix Otto. Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization. ESAIM: Proceedings and Surveys, EDP Sciences, 2014, pp.26. ⟨10.1051/proc/201448003⟩. ⟨hal-01060499⟩

Antoine Gloria. When are increment-stationary random point sets stationary?. Electronic Communications in Probability, Institute of Mathematical Statistics (IMS), 2014, 19 (30), pp.1-14. ⟨10.1214/ECP.v19-3288⟩. ⟨hal-00863414v3⟩

Antoine Gloria, Thierry Goudon, Stella Krell. Numerical homogenization of a nonlinearly coupled elliptic-parabolic system, reduced basis method, and application to nuclear waste storage. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2013, 23 (13), pp.1-33. ⟨10.1142/S0218202513500395⟩. ⟨hal-00674519v2⟩

Antoine Gloria, Mathew Penrose. Random parking, Euclidean functionals, and rubber elasticity. Communications in Mathematical Physics, Springer Verlag, 2013, 321 (1), pp.31. ⟨10.1007/s00220-013-1725-y⟩. ⟨hal-00675037⟩

Antoine Gloria, Jean-Christophe Mourrat. Quantitative version of the Kipnis-Varadhan theorem and Monte-Carlo approximation of homogenized coefficients. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2013, 23 (4), pp.1544-1583. ⟨10.1214/12-AAP880⟩. ⟨inria-00579424v4⟩

Antoine Gloria. Fluctuation of solutions to linear elliptic equations with noisy diffusion coefficients. Communications in Partial Differential Equations, Taylor & Francis, 2013, 38 (2), pp.35. ⟨10.1080/03605302.2012.715319⟩. ⟨hal-00674445v2⟩

Antoine Gloria. Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2012, 46, pp.1-38. ⟨10.1051/m2an/2011018⟩. ⟨inria-00510514v3⟩

Antoine Gloria. Numerical homogenization: survey, new results, and perspectives. ESAIM: Proceedings, EDP Sciences, 2012, 37, pp.50-116. ⟨10.1051/proc/201237002⟩. ⟨hal-00766743⟩

Antoine Gloria, Felix Otto. An optimal error estimate in stochastic homogenization of discrete elliptic equations. Annals of Applied Probability, Institute of Mathematical Statistics (IMS), 2012, 22 (1), pp.1-28. ⟨10.1214/10-AAP745⟩. ⟨inria-00457020v3⟩

Antoine Gloria, Jean-Christophe Mourrat. Spectral measure and approximation of homogenized coefficients. Probability Theory and Related Fields, Springer Verlag, 2012, 154, pp.287-326. ⟨10.1007/s00440-011-0370-7⟩. ⟨inria-00510513v2⟩

Antoine Gloria, Stefan Neukamm. Commutability of homogenization and linearization at identity in finite elasticity and applications. Annales de l'Institut Henri Poincaré (C) Non Linear Analysis, Elsevier, 2011, 28, pp.941-964. ⟨10.1016/j.anihpc.2011.07.002⟩. ⟨inria-00540615⟩

Antoine Gloria. Reduction of the resonance error. Part 1: Approximation of homogenized coefficients. Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2011, 21 (8), pp.1601-1630. ⟨10.1142/S0218202511005507⟩. ⟨inria-00457159⟩

Antoine Gloria, Felix Otto. An optimal variance estimate in stochastic homogenization of discrete elliptic equations. Annals of Probability, Institute of Mathematical Statistics, 2011, 39 (3), pp.779-856. ⟨10.1214/10-AOP571⟩. ⟨hal-00383953v4⟩

Jean-François Coulombel, Antoine Gloria. Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems. Mathematics of Computation, American Mathematical Society, 2011, 80 (273), pp.165-203. ⟨10.1090/S0025-5718-10-02368-9⟩. ⟨hal-00383891⟩

Roberto Alicandro, Marco Cicalese, Antoine Gloria. Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity. Archive for Rational Mechanics and Analysis, Springer Verlag, 2011, 200, pp.881-943. ⟨10.1007/s00205-010-0378-7⟩. ⟨inria-00437765⟩

Miguel Angel Fernández, Jean-Frédéric Gerbeau, Antoine Gloria, Marina Vidrascu. A partitioned Newton method for the interaction of a fluid and a 3D shell structure. Revue Européenne de Mécanique Numérique/European Journal of Computational Mechanics, Hermès / Paris : Lavoisier 2010, 19 (5-7), pp.479-512. ⟨10.3166/ejcm.19.479-512⟩. ⟨hal-00701792⟩

Marco Barchiesi, Antoine Gloria. New counterexamples to the cell formula in nonconvex homogenization. Archive for Rational Mechanics and Analysis, Springer Verlag, 2010, 195, pp.991-1204. ⟨10.1007/s00205-009-0226-9⟩. ⟨hal-00767100⟩

Andrea Braides, Antoine Gloria. Exact bounds on the effective behaviour of a conducting discrete polycrystal. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2008, 6 (4), pp.1198-1216. ⟨10.1137/06067184X⟩. ⟨hal-00766730⟩

Antoine Gloria. Stochastic diffeomorphisms and homogenization of multiple integrals. Applied Mathematics Research eXpress, Oxford University Press (OUP): Policy H - Oxford Open Option A, 2008, 2008 (abn001), pp.1-23. ⟨10.1093/amrx/abn001⟩. ⟨inria-00176568v2⟩

Roberto Alicandro, Marco Cicalese, Antoine Gloria. Variational description of bulk energies for bounded and unbounded spin systems. Nonlinearity, IOP Publishing, 2008, 21, pp.1881-1910. ⟨10.1088/0951-7715/21/8/008⟩. ⟨hal-00766738⟩

Antoine Gloria. An analytical framework for numerical homogenization - Part II: windowing and oversampling. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2008, 7 (1), pp.274-293. ⟨10.1137/070683143⟩. ⟨inria-00132118v4⟩

Roberto Alicandro, Marco Cicalese, Antoine Gloria. Mathematical derivation of a rubber-like stored energy functional. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2007, 345 (8), pp.479-482. ⟨10.1016/j.crma.2007.10.005⟩. ⟨hal-00766739⟩

Antoine Gloria. A direct approach to numerical homogenization in finite elasticity. Networks and Heterogeneous Media, AIMS-American Institute of Mathematical Sciences, 2006, 1 (1), pp.109-141. ⟨inria-00070383⟩

Antoine Gloria. An analytical framework for the numerical homogenization of monotone elliptic operators and quasiconvex energies. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2006, 5 (3), pp.996-1043. ⟨10.1137/060649112⟩. ⟨inria-00070230⟩

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

Mitia Duerinckx, Antoine Gloria. Quantitative homogenization theory for random suspensions in steady Stokes flow. 2021. ⟨hal-03456187⟩

Mitia Duerinckx, Antoine Gloria. Continuum percolation in stochastic homogenization and the effective viscosity problem. 2021. ⟨hal-03456192⟩

Mitia Duerinckx, Antoine Gloria. Sedimentation of random suspensions and the effect of hyperuniformity. 2020. ⟨hal-03456136⟩

Mitia Duerinckx, Antoine Gloria. On Einstein's effective viscosity formula. 2020. ⟨hal-03456138⟩

Marco Cicalese, Antoine Gloria, Matthias Ruf. From statistical polymer physics to nonlinear elasticity. 2018. ⟨hal-01876841⟩

Mitia Duerinckx, Antoine Gloria. Weighted second-order Poincaré inequalities: Application to RSA models. 2017. ⟨hal-01633042⟩

Mitia Duerinckx, Antoine Gloria, Felix Otto. The structure of fluctuations in stochastic homogenization. 2016. ⟨hal-01398515⟩

Antoine Gloria, Felix Otto. The corrector in stochastic homogenization: optimal rates, stochastic integrability, and fluctuations. 2016. ⟨hal-01230985⟩

Antoine Gloria, Stefan Neukamm, Felix Otto. A regularity theory for random elliptic operators . 2014. ⟨hal-01093368⟩

Antoine Gloria, Felix Otto. Quantitative theory in stochastic homogenization. 2014. ⟨hal-00933251⟩

Antoine Gloria, Stefan Neukamm, Felix Otto. Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version. [Research Report] 2013, pp.106. ⟨hal-00782075⟩

Miguel Angel Fernández, Jean-Frédéric Gerbeau, Antoine Gloria, Marina Vidrascu. A partitioned Newton method for the interaction of a fluid and a 3D shell structure. [Research Report] RR-6623, INRIA. 2008, pp.30. ⟨inria-00315765⟩

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

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