A lower bound on the variance of conductance in random resistor networks

DOI10.1007/BF02183627zbMath0937.82024MaRDI QIDQ1285373

Jan Wehr

Publication date: 6 June 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

conductivityfluctuationsrandom mediavariance bounds

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44)

Related Items (8)

Noise-stability and central limit theorems for effective resistance of random electric networks ⋮ Normal approximation for the net flux through a random conductor ⋮ Normal approximation for a random elliptic equation ⋮ Recent progress on the random conductance model ⋮ Submean variance bound for effective resistance of random electric networks ⋮ A central limit theorem for the effective conductance: linear boundary data and small ellipticity contrasts ⋮ A Quantitative Central Limit Theorem for the Effective Conductance on the Discrete Torus ⋮ Tail estimates for homogenization theorems in random media

Cites Work

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• Rounding effects of quenched randomness on first-order phase transitions
• The diffusion limit for reversible jump processes on \(Z^ m\) with ergodic random bond conductivities
• A strong law of large numbers for iterated functions of independent random variables
• Fluctuations of extensive functions of quenched random couplings
• Hierarchical Sequences of Random Variables

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