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  • eBook:Quantitative Stochastic Homogenization and Large-Scale Regularity

    Quantitative Stochastic Homogenization and Large-Scale Regularity

    Scott Armstrong; Tuomo Kuusi; Jean-Christophe Mourrat
    978-3-030-15545-2
    2019
    Edition 1
    • First book focusing on stochastic (as opposed to periodic) homogenization, presenting the quantitative theory, and exposing the renormalization approach to stochastic homogenization
    • Collects the essential ideas and results of the theory of quantitative stochastic homogenization, including the optimal error estimates and scaling limit of the first-order correctors to a variant of the Gaussian free field
    • Proves for the first time important new results, including optimal estimates for the first-order correctors in negative Sobolev spaces, optimal error estimates for Dirichlet and Neumann problems and the optimal quantitative description of the parabolic and elliptic Green functions
    • Contains an original construction and interpretation of the Gaussian free field and the functional spaces to which it belongs, and an elementary new derivation of the heat kernel formulation of Sobolev space norms

    €260

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