A martingale approach to homogenization of unbounded random flows

DOI10.1214/aop/1023481115zbMath0902.60028OpenAlexW2051772151MaRDI QIDQ1381572

Tomasz Komorowski, Albert C. Fannjiang

Publication date: 2 December 1998

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1023481115

zbMATH Keywords

homogenizationinvariance principleconvection-diffusion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Martingales with continuous parameter (60G44) Functional limit theorems; invariance principles (60F17) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (16)

Quantitative homogenization of degenerate random environments ⋮ Quenched invariance principle for random walks among random degenerate conductances ⋮ Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments ⋮ Off-diagonal heat kernel estimates for symmetric diffusions in a degenerate ergodic environment ⋮ Large-scale regularity in stochastic homogenization with divergence-free drift ⋮ Stochastic homogenization with space-time ergodic divergence-free drift ⋮ Phase diagram for turbulent transport: Sampling drift, eddy diffusivity and variational principles ⋮ Diffusion in an incompressible random flow. Nash-Aronson-type estimates for transition probabilities and a central limit theorem ⋮ Quenched invariance principle for random walks with time-dependent ergodic degenerate weights ⋮ Homogenization in Random Dirichlet Forms ⋮ Convergence of Brownian motions on metric measure spaces under Riemannian curvature-dimension conditions ⋮ Convergence of non-symmetric diffusion processes on RCD spaces ⋮ An invariance principle for diffusion in turbulence ⋮ Convection-enhanced diffusion for random flows ⋮ Invariance principle for the random conductance model in a degenerate ergodic environment ⋮ On the sector condition and homogenization of diffusions with a Gaussian drift

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