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1

Quantitative results on the corrector equation in stochastic homogenization

Gloria, Antoine, Otto, Felix

Journal:

Journal of the European Mathematical Society

Year:

2017

Language:

english

File:

PDF, 364 KB

english, 2017

2

Analyticity of Homogenized Coefficients Under Bernoulli Perturbations and the Clausius–Mossotti Formulas

Duerinckx, Mitia, Gloria, Antoine

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 988 KB

english, 2016

3

Stochastic Homogenization of Nonconvex Unbounded Integral Functionals with Convex Growth

Duerinckx, Mitia, Gloria, Antoine

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 1.05 MB

english, 2016

4

Bounded Correctors in Almost Periodic Homogenization

Armstrong, Scott, Gloria, Antoine, Kuusi, Tuomo

Journal:

Archive for Rational Mechanics and Analysis

Year:

2016

Language:

english

File:

PDF, 663 KB

english, 2016

5

Domain decomposition based Newton methods for fluid-structure interaction problems

FernÃ¡ndez, Miguel Ãngel, Gerbeau, Jean-FrÃ©dÃ©ric, Gloria, Antoine, Vidrascu, Marina, Caloz, Gabriel, Dauge, Monique

Journal:

ESAIM Proceedings

Year:

2008

File:

PDF, 967 KB

2008

6

From Statistical Polymer Physics to Nonlinear Elasticity

Cicalese, Marco, Gloria, Antoine, Ruf, Matthias

Journal:

Archive for Rational Mechanics and Analysis

Year:

2020

Language:

english

File:

PDF, 1.20 MB

english, 2020

7

Quantitative version of the Kipnis–Varadhan theorem and Monte Carlo approximation of homogenized coefficients

Gloria, Antoine, Mourrat, Jean-Christophe

Journal:

The Annals of Applied Probability

Year:

2013

Language:

english

File:

PDF, 398 KB

english, 2013

8

Integral Representation Results for Energies Defined on Stochastic Lattices and Application to Nonlinear Elasticity

Roberto Alicandro, Marco Cicalese, Antoine Gloria

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 745 KB

english, 2011

9

An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations

Gloria, Antoine, Neukamm, Stefan, Otto, Felix

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2014

Language:

english

File:

PDF, 336 KB

english, 2014

10

Foundation, analysis, and numerical investigation of a variational network-based model for rubber

Gloria, Antoine, Le Tallec, Patrick, Vidrascu, Marina

Journal:

Continuum Mechanics and Thermodynamics

Year:

2014

Language:

english

File:

PDF, 1.14 MB

english, 2014

11

Reconstruction of a constitutive law for rubber from in silico experiments using Ogden’s laws

de Buhan, Maya, Gloria, Antoine, Le Tallec, Patrick, Vidrascu, Marina

Journal:

International Journal of Solids and Structures

Year:

2015

Language:

english

File:

PDF, 915 KB

english, 2015

12

The Structure of Fluctuations in Stochastic Homogenization

Duerinckx, Mitia, Gloria, Antoine, Otto, Felix

Journal:

Communications in Mathematical Physics

Year:

2020

Language:

english

File:

PDF, 719 KB

english, 2020

13

A Scalar Version of the CaflischâLuke Paradox

Gloria, Antoine

Journal:

Communications on Pure and Applied Mathematics

Year:

2020

File:

PDF, 422 KB

2020

14

Positional average structure from an incommensurately modulated crystal of profilin:actin

Borgstahl, Gloria E. O., Porta, Jason C., Lovelace, Jeff J., Schreurs, Antoine M. M.

Journal:

Acta Crystallographica Section A Foundations of Crystallography

Year:

2010

Language:

english

File:

PDF, 224 KB

english, 2010

15

An optimal error estimate in stochastic homogenization of discrete elliptic equations

Gloria, Antoine, Otto, Felix

Journal:

The Annals of Applied Probability

Year:

2012

Language:

english

File:

PDF, 257 KB

english, 2012

16

A remark on a surprising result by Bourgain in homogenization

Duerinckx, Mitia, Gloria, Antoine, Lemm, Marius

Journal:

Communications in Partial Differential Equations

Year:

2019

Language:

english

File:

PDF, 1.18 MB

english, 2019

17

Development of Lipid-Coated Semiconductor Nanosensors for Recording of Membrane Potential in Neurons

Ludwig, Anastasia, Serna, Pablo, Morgenstein, Lion, Yang, Gaoling, Bar-Elli, Omri, Ortiz, Gloria, Miller, Evan, Oron, Dan, Grupi, Asaf, Weiss, Shimon, Triller, Antoine

Journal:

Year:

2020

File:

PDF, 3.59 MB

2020

18

An Analytical Framework for Numerical Homogenization. Part II: Windowing and Oversampling

Gloria, Antoine

Journal:

Multiscale Modeling and Simulation

Year:

2008

Language:

english

File:

PDF, 250 KB

english, 2008

19

Random Parking, Euclidean Functionals, and Rubber Elasticity

Antoine Gloria, Mathew D. Penrose

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 428 KB

english, 2013

20

Reduction in the Resonance Error in Numerical Homogenization II: Correctors and Extrapolation

Gloria, Antoine, Habibi, Zakaria

Journal:

Foundations of Computational Mathematics

Year:

2015

Language:

english

File:

PDF, 1.42 MB

english, 2015

21

An optimal variance estimate in stochastic homogenization of discrete elliptic equations

Gloria, Antoine, Otto, Felix

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 618 KB

english, 2011

22

A Regularity Theory for Random Elliptic Operators

Gloria, Antoine, Neukamm, Stefan, Otto, Felix

Journal:

Milan Journal of Mathematics

Year:

2020

File:

PDF, 2.02 MB

2020

23

Mathematical derivation of a rubber-like stored energy functional

Roberto Alicandro, Marco Cicalese, Antoine Gloria

Journal:

Comptes Rendus Mathematique

Year:

2007

Language:

english

File:

PDF, 116 KB

english, 2007

24

A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus

Gloria, Antoine, Nolen, James

Journal:

Communications on Pure and Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 372 KB

english, 2015

25

Thymic function recovery after unrelated donor cord blood or T-cell depleted HLA-haploidentical stem cell transplantation correlates with leukemia relapse

Clave, Emmanuel, Lisini, Daniela, Douay, Corinne, Giorgiani, Giovanna, Busson, Marc, Zecca, Marco, Moretta, Francesca, Acquafredda, Gloria, Brescia, Letizia P., Locatelli, Franco, Toubert, Antoine

Journal:

Frontiers in Immunology

Year:

2013

Language:

english

File:

PDF, 1.28 MB

english, 2013

26

Protein Phosphotyrosine in Mouse Brain: Developmental Changes and Regulation by Epidermal Growth Factor, Type I Insulin-Like Growth Factor, and Insulin

Jean-Antoine Girault, Brigitte Chamak, Gloria Bertuzzi, Hervé Tixier, James K. T. Wang, Dennis T. Pang, Paul Greengard

Journal:

Journal of Neurochemistry

Year:

1992

Language:

english

File:

PDF, 1.96 MB

english, 1992

27

Commutability of homogenization and linearization at identity in finite elasticity and applications

Antoine Gloria, Stefan Neukamm

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2011

File:

PDF, 262 KB

2011

28

NUMERICAL HOMOGENIZATION OF A NONLINEARLY COUPLED ELLIPTIC–PARABOLIC SYSTEM, REDUCED BASIS METHOD, AND APPLICATION TO NUCLEAR WASTE STORAGE

GLORIA, ANTOINE, GOUDON, THIERRY, KRELL, STELLA

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2013

Language:

english

File:

PDF, 552 KB

english, 2013

29

AN OPTIMAL ERROR ESTIMATE IN STOCHASTIC HOMOGENIZATION OF DISCRETE ELLIPTIC EQUATIONS

Antoine Gloria and Felix Otto

Journal:

The Annals of Applied Probability

Year:

2012

Language:

english

File:

PDF, 1.56 MB

english, 2012

30

Longitudinal Molecular Magnetic Resonance Imaging of Endothelial Activation after Severe Traumatic Brain Injury

Vegliante, Gloria, Tolomeo, Daniele, Drieu, Antoine, Rubio, Marina, Micotti, Edoardo, Moro, Federico, Vivien, Denis, Forloni, Gianluigi, Ali, Carine, Zanier, Elisa R.

Journal:

Journal of Clinical Medicine

Year:

2019

Language:

english

File:

PDF, 2.35 MB

english, 2019

31

An Analytical Framework for the Numerical Homogenization of Monotone Elliptic Operators and Quasiconvex Energies

Gloria, Antoine

Journal:

Multiscale Modeling and Simulation

Year:

2006

Language:

english

File:

PDF, 439 KB

english, 2006

32

Spectral measure and approximation of homogenized coefficients

Gloria, Antoine, Mourrat, Jean-Christophe

Journal:

Probability Theory and Related Fields

Year:

2012

Language:

english

File:

PDF, 461 KB

english, 2012

33

Distribution of Protein Phosphatase Inhibitor-1 in Brain and Peripheral Tissues of Various Species: Comparison with DARPP-32

Hugh C. Hemmings Jr., Jean-Antoine Girault, Angus C. Nairn, Gloria Bertuzzi, Paul Greengard

Journal:

Journal of Neurochemistry

Year:

1992

Language:

english

File:

PDF, 1.05 MB

english, 1992

34

When are increment-stationary random point sets stationary?

Gloria, Antoine

Journal:

Electronic Communications in Probability

Year:

2014

Language:

english

File:

PDF, 258 KB

english, 2014

35

Numerical homogenization: survey, new results, and perspectives

Gloria, Antoine

Journal:

ESAIM Proceedings

Year:

2012

Language:

english

File:

PDF, 618 KB

english, 2012

36

Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity

Francfort, Gilles A., Gloria, Antoine

Journal:

Comptes Rendus Mathematique

Year:

2016

Language:

english

File:

PDF, 246 KB

english, 2016

37

REDUCTION OF THE RESONANCE ERROR — PART 1: APPROXIMATION OF HOMOGENIZED COEFFICIENTS

GLORIA, ANTOINE

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2011

Language:

english

File:

PDF, 386 KB

english, 2011

38

A partitioned Newton method for the interaction of a fluid and a 3D shell structure

Fernádez, Miguel Ángel, Gerbeau, Jean-Frédéric, Gloria, Antoine, vidrascu, Marina

Journal:

Revue européenne de mécanique numérique

Year:

2010

Language:

english

File:

PDF, 4.44 MB

english, 2010

39

Annealed estimates on the Green functions and uncertainty quantification

Gloria, Antoine, Marahrens, Daniel

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2015

Language:

english

File:

PDF, 1.77 MB

english, 2015

40

Exact Bounds on the Effective Behavior of a Conducting Discrete Polycrystal

Braides, Andrea, Gloria, Antoine

Journal:

Multiscale Modeling and Simulation

Year:

2008

Language:

english

File:

PDF, 369 KB

english, 2008

41

Fluctuation of Solutions to Linear Elliptic Equations with Noisy Diffusion Coefficients

Gloria, Antoine

Journal:

Communications in Partial Differential Equations

Year:

2012

Language:

english

File:

PDF, 243 KB

english, 2012

42

Robustness of the pathwise structure of fluctuations in stochastic homogenization

Duerinckx, Mitia, Gloria, Antoine, Otto, Felix

Journal:

Probability Theory and Related Fields

Year:

2020

File:

PDF, 560 KB

2020

43

Timing of platelet activation of stored plateletpheresis

Del Proposto, Gianpaolo, Lanti, Alessandro, Bruno, Antoine, Messina, Francesca, Cordero, Valeria, Cerrone, Paola, Antonelli, Maddalena, De Masi, Alessandra, Palazzo, Gloria, Docimo, Francesca, Adorno,

Journal:

Transfusion and Apheresis Science

Year:

2014

Language:

english

File:

PDF, 168 KB

english, 2014

44

AN OPTIMAL VARIANCE ESTIMATE IN STOCHASTIC HOMOGENIZATION OF DISCRETE ELLIPTIC EQUATIONS

Antoine Gloria and Felix Otto

Journal:

The Annals of Probability

Year:

2011

Language:

english

File:

PDF, 3.41 MB

english, 2011

45

Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations

Gloria, Antoine

Journal:

ESAIM Mathematical Modelling and Numerical Analysis

Year:

2012

Language:

english

File:

PDF, 490 KB

english, 2012

46

Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization

Gloria, Antoine, Otto, FÃ©lix, Champagnat, Nicolas, LeliÃ¨vre, Tony, Nouy, Anthony

Journal:

ESAIM: Proceedings and Surveys

Year:

2015

File:

PDF, 381 KB

2015

47

New Counterexamples to the Cell Formula in Nonconvex Homogenization

Marco Barchiesi, Antoine Gloria

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 626 KB

english, 2010

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