A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts

DOI10.1007/s00220-014-2024-yzbMath1296.82007arXiv1210.2371OpenAlexW3098421670MaRDI QIDQ2016049

Michele Salvi, Marek Biskup, Tilman Wolff

Publication date: 18 June 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2371

zbMATH Keywords

homogenizationcentral limit theoremmartingaleeffective conductance

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (15)

Noise-stability and central limit theorems for effective resistance of random electric networks ⋮ Pointwise two-scale expansion for parabolic equations with random coefficients ⋮ Eigenvalue Fluctuations for Lattice Anderson Hamiltonians ⋮ Normal approximation for the net flux through a random conductor ⋮ High order correctors and two-scale expansions in stochastic homogenization ⋮ The structure of fluctuations in stochastic homogenization ⋮ Normal approximation for a random elliptic equation ⋮ Annealed estimates on the Green function ⋮ Eigenvalue Fluctuations for Lattice Anderson Hamiltonians: Unbounded Potentials ⋮ Effective multipoles in random media ⋮ Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization ⋮ Scaling Limit of Fluctuations in Stochastic Homogenization ⋮ A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus ⋮ Fluctuations of parabolic equations with large random potentials ⋮ The additive structure of elliptic homogenization

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