The electrical conductivity of binary disordered systems, percolation clusters, fractals and related models

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Introduction to Graph Theory

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Anomalous scaling laws in multifractal objects

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Complex analytic dynamics on the Riemann sphere

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Duality in field theory and statistical systems

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Invariant sets under iteration of rational functions

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Real-space renormalization of bond-disordered conductance lattices

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Solvable Fractal Family, and Its Possible Relation to the Backbone at Percolation

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Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation threshold

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Finite-size scaling

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Coherent-medium approximation in the stochastic transport theory of random media

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Theory for the Dielectric Function of Granular Composite Media

1980 • 312 citations

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Viscoelasticity of Near-Critical Gels

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Exactly Solvable Microscopic Geometries and Rigorous Bounds for the Complex Dielectric Constant of a Two-Component Composite Material

1980 • 273 citations

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Tortuosity and Acoustic Slow Waves

1982 • 262 citations

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1982 • 254 citations

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1984 • 244 citations

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1981 • 221 citations

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1982 • 210 citations

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1983 • 197 citations

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1984 • 176 citations

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1982 • 144 citations

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1985 • 111 citations

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1988 • 108 citations

Oscillatory critical amplitudes in hierarchical models

1984 • 107 citations

Percolation Theory of Nonlinear Circuit Elements

1982 • 106 citations

Percolation in the effective-medium approximation: Crossover between phonon and fracton excitations

1984 • 99 citations

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1986 • 99 citations

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1988 • 98 citations

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1986 • 98 citations

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1984 • 95 citations

Disorder-Induced Nonlinear Conductivity

1987 • 90 citations

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1981 • 85 citations

a.c. response of fractal networks

1984 • 85 citations

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1981 • 83 citations

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1984 • 78 citations

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1986 • 71 citations

The ant in the labyrinth: diffusion in random networks near the percolation threshold

1980 • 69 citations

Percolation transition in microemulsions: Effect of water-surfactant ratio, temperature, and salinity

1987 • 67 citations

The branching model for percolation theory and electrical conductivity

1973 • 66 citations

Constant-phase-angle and power-law regimes in the frequency response of a general determinate fractal circuit

1988 • 63 citations

Universality of the spectral dimension of percolation clusters

1984 • 62 citations

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1985 • 54 citations

Diffusion and Long-Time Tails in a Two-Dimensional Site-Percolation Model

1986 • 53 citations

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1981 • 50 citations

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1985 • 50 citations

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1988 • 49 citations

Renormalization-group treatment of the random resistor network in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>6</mml:mn><mml:mo>−</mml:mo><mml:mi>ε</mml:mi></mml:math>dimensions

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1985 • 47 citations

Flicker noise near the percolation threshold

1985 • 45 citations

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1989 • 44 citations

Nature of eigenstates on fractal structures

1983 • 42 citations

Dimensionality-dependent scaling relations for conduction exponents

1980 • 36 citations

εexpansion for transport exponents of continuum percolating systems

1986 • 35 citations

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1989 • 33 citations

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AC properties of 2D percolation networks: a transfer matrix approach

1986 • 31 citations

First exit time of termites and random super-normal conductor networks

1985 • 30 citations

Percolation conductivity exponenttto second order inε=6-d

1986 • 29 citations

Scaling behavior and surface-plasmon modes in metal-insulator composites

1987 • 28 citations

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1988 • 27 citations

Mean field theory and scaling laws for the optical properties of inhomogeneous media

1987 • 27 citations

Lifshitz tails and long-time decay in random systems with arbitrary disorder

1988 • 25 citations

Percolation and anomalous conduction on fractals in fluid-saturated porous media

1988 • 23 citations

AC response near percolation threshold: transfer matrix calculation in 2D

1986 • 23 citations

Application of the Bergman–Milton theory of bounds to the permittivity of rocks

1986 • 22 citations

Optical properties of Au-MgO cermet thin films: Percolation threshold and grain size effect

1982 • 20 citations

A dielectric anomaly in electrolyte-saturated porous alumina ceramics

1987 • 20 citations

Conductivity and diffusion near the percolation threshold

1989 • 18 citations

Systematic density expansion for random resistor networks

1987 • 18 citations

Random walks on cubic lattices with bond disorder

1986 • 16 citations

Theoretical model of the impedance of a fractal metal-electrolyte interface

1989 • 16 citations

Noise excess on fractals and percolating systems

1984 • 16 citations

Bond percolation in two and three dimensions: Numerical evaluation of time-dependent transport properties

1987 • 15 citations

An Introduction to Graph Theory

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Strongly disordered chain of impedances: theoretical analysis and numerical results

1990 • 15 citations

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1986 • 14 citations

Superconductivity exponent for the Sierpinski gasket in two dimensions

1988 • 14 citations

Dynamics of branched polymers in the reaction bath

1988 • 14 citations

Relation between conductivity and fluid flow permeability in porous alumina ceramics

1986 • 13 citations

Time-dependent correlation functions for random walks on bond disordered cubic lattices

1987 • 12 citations

Percolation thresholds on finitely ramified fractals

1990 • 12 citations

A novel determination of the percolation exponent u in three dimensions

1987 • 12 citations

Dielectric and conductivity properties of inhomogeneous media

1989 • 11 citations

Conductivity of a square-lattice bond-mixed resistor network

1986 • 11 citations

Iterated networks and the spectra of renormalizable electromechanical systems

1985 • 10 citations

A special purpose computer for the electrical conductivity of disordered media

1986 • 10 citations

Transfer matrix calculation of the relative noise exponent in a two-dimensional percolating network

1986 • 10 citations

Dynamics of random media: anomalous wave propagation and damping near the percolation threshold

1988 • 9 citations

Scaling law for the low-frequency a.c. conductivity of fluid-saturated porous media

1987 • 6 citations

INTRODUCTION TO CIRCUIT THEORY

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Nyquist and Flicker Noise Measurements in a Fractal Network

1987 • 4 citations

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1989 • 4 citations

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1990 • 4 citations

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1986 • 2 citations