Concepedia

Stochastic Homogenization

Stochastic Homogenization is a mathematical framework within the theory of homogenization that characterizes the effective, deterministic properties of random heterogeneous media by averaging stochastic fluctuations at microscopic scales to predict macroscopic transport behavior.

191

Publications

7K

Citations

240

Authors

171

Institutions

Publications per year

2017–2026

42

Parents

Publications

191

Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics

Antoine Gloria, Stefan Neukamm, Félix Otto · Inventiones mathematicae · 2014 · 244 citations · Full text

, , +15

An Optimal Variance Estimate in Stochastic Homogenization of Discrete Elliptic Equations

2011 · 241 citations

, , +8

An optimal error estimate in stochastic homogenization of discrete elliptic equations

Antoine Gloria, Félix Otto · The Annals of Applied Probability · 2012 · 210 citations · Full text

, , +7

An optimal variance estimate in stochastic homogenization of discrete elliptic equations

The Annals of Probability · 2011 · 166 citations · Full text

, , +8

Stochastic homogenization of Hamilton–Jacobi equations and some applications

Panagiotis E. Souganidis · Asymptotic Analysis · 1999 · 164 citations

, , +16

1–5 of 191

Authors

240

  1. AG
    Antoine Gloria

    Université Libre de Bruxelles, Belgium

    16 publications · 964 citations

    14

    h-index

  2. FO
    Félix Otto

    Max Planck Institute for Mathematics in the Sciences, Germany

    16 publications · 968 citations

    14

    h-index

  3. RC
    Ralph C. Smith

    North Carolina State University, United States

    12 publications · 457 citations

    11

    h-index

  4. SN
    Scott N. Armstrong

    Centre National de la Recherche Scientifique, France

    10 publications · 369 citations

    10

    h-index

  5. SS
    Sei-ichiro SAKATA

    Shimane University, Japan

    10 publications · 412 citations

    10

    h-index

1–5 of 240

Institutions

171

  1. Centre National de la Recherche Scientifique

    Paris, France

    14 h-index

    23 publications

    809 citations

  2. Université Paris Dauphine-PSL

    Paris, France

    13 h-index

    16 publications

    477 citations

  3. Max Planck Institute for Mathematics in the Sciences

    Leipzig, Germany

    13 h-index

    19 publications

    1.4K citations

  4. Centre de Recherche en Mathématiques de la Décision

    Paris, France

    12 h-index

    12 publications

    396 citations

  5. Max Planck Institute for Mathematics

    Bonn, Germany

    11 h-index

    16 publications

    1.5K citations

  6. North Carolina State University

    Raleigh, United States

    11 h-index

    28 publications

    1.1K citations

  7. Université Libre de Bruxelles

    Brussels, Belgium

    10 h-index

    13 publications

    734 citations

  8. Université Paris Cité

    Paris, France

    9 h-index

    9 publications

    217 citations

1–8 of 171

Venues

  1. arXiv (Cornell University)

    Repository · 10 publications · 331 citations

    10

    h-index

  2. The Annals of Probability

    9 publications · 419 citations

    9

    h-index

  3. Asymptotic Analysis

    8 publications · 292 citations

    8

    h-index

  4. Composite Structures

    5 publications · 122 citations

    5

    h-index

  5. 5

    h-index

1–5