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

Determination of the size of the representative volume element for random composites: statistical and numerical approach

T. Kanit, Samuel Forest, Isabelle Galliet et al. · International Journal of Solids and Structures · 2003 · 1.9K citations

Natural Sciences, Materials Engineering, Materials Science +16

Continuity of Solutions of Parabolic and Elliptic Equations

John C. Nash · American Journal of Mathematics · 1958 · 1.2K citations

Natural Sciences, Aerospace Engineering, Differential Equations +10

Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions

C. Kipnis, S. R. S. Varadhan · Communications in Mathematical Physics · 1986 · 852 citations

Natural Sciences, Computer Science, Mathematics +12

Bounds for the fundamental solution of a parabolic equation

D. G. Aronson · Bulletin of the American Mathematical Society · 1967 · 625 citations · Full text

Natural Sciences, Computational Engineering, Celestial Mechanics +5

A new proof of Moser's parabolic harnack inequality using the old ideas of Nash

Eugene B. Fabes, D. W. Stroock · Archive for Rational Mechanics and Analysis · 1986 · 410 citations

Social Sciences, Economics, Game Theory +2