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

DOI10.1007/s00222-014-0518-zzbMath1314.39020OpenAlexW2107101459MaRDI QIDQ2257727

Stefan Neukamm, Felix Otto, Antoine Gloria

Publication date: 2 March 2015

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-014-0518-z

zbMATH Keywords

Glauber dynamicsstochastic homogenizationcorrector problemdiscrete elliptic equationsestimate on the gradient of the Green's functionexistence of stationary correctorsspectral cap estimate

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Discrete version of topics in analysis (39A12) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Partial difference equations (39A14) Stochastic difference equations (39A50)

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