Antoine Gloria
University of Paris
111 Papers
721 Citations
Antoine Gloria is an academic researcher from University of Paris. The author has contributed to research in topics: Homogenization (chemistry) & Ergodic theory. The author has an hindex of 26, co-authored 104 publications. Previous affiliations of Antoine Gloria include École des ponts ParisTech & French Institute for Research in Computer Science and Automation.
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Papers
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics
TL;DR: In this article, a Spectral Gap Estimate w.r.t. (SGE) was proposed for the corrector problem, which can be viewed as a degenerate elliptic equation on the infinite-dimensional space of admissible coefficient fields.
An optimal error estimate in stochastic homogenization of discrete elliptic equations
Antoine Gloria,Felix Otto +1 more
TL;DR: In this article, the authors consider a discrete elliptic equation with random coefficients and show that the average of the energy density of a stationary random field can be recovered by a system average.
An optimal variance estimate in stochastic homogenization of discrete elliptic equations
Antoine Gloria,Felix Otto +1 more
TL;DR: In this article, the authors considered a discrete elliptic equation with random coefficients and showed that the average of the energy density of the lattice can be recovered by a system average.
244
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A regularity theory for random elliptic operators
TL;DR: In this article, the authors extend the notion of large-scale Lipschitz estimates for elliptic operators with random coefficients to the case of Gaussian-type coefficient fields with arbitrary slow-decaying correlations.
167
A regularity theory for random elliptic operators
TL;DR: In this article, the authors extend the large-scale Lipschitz estimates of Avellaneda and Lin to elliptic systems with random coefficients, and show that the minimal radius is almost surely finite under mere ergodicity.
148