Percolation I

[1]  P. Gennes.  Scaling Concepts in Polymer Physics , 1979 .

[2]  S. Kirkpatrick.  Percolation Phenomena in Higher Dimensions: Approach to the Mean-Field Limit , 1976 .

[3]  T. Vicsek,et al.  Self-affine fractal clusters: Conceptual questions and numerical results for directed percolation , 1991 .

[4]  H. Stanley,et al.  Exact enumeration approach to fractal properties of the percolation backbone and 1/σ expansion , 1983 .

[5]  A. Bunde,et al.  The dynamic structure model for ion transport in glasses , 1994 .

[6]  H. Eugene Stanley,et al.  Kinetic Growth Walk: A New Model for Linear Polymers , 1984 .

[7]  B. Mandelbrot,et al.  Fractals: Form, Chance and Dimension , 1978 .

[8]  Bunde,et al.  Dispersed ionic conductors and percolation theory. , 1985, Physical review letters.

[9]  J. Feder,et al.  Dynamics of Invasion Percolation , 1988 .

[10]  Joan Adler,et al.  Series expansions , 1994 .

[11]  H. Stanley,et al.  Gelation models of hydrogen bond networks in liquid water , 1983 .

[12]  Herrmann,et al.  Universality classes for spreading phenomena: A new model with fixed static but continuously tunable kinetic exponents. , 1985, Physical review letters.

[13]  M. K. Wilkinson,et al.  Derivation of series expansions for a study of percolation processes , 1986 .

[14]  Mass distribution on clusters at the percolation threshold. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  Paul J. Flory,et al.  Molecular Size Distribution in Three Dimensional Polymers. I. Gelation1 , 1941 .

[16]  Naeem Jan,et al.  Forest fires as critical phenomena , 1984 .

[17]  Tom C. Lubensky,et al.  Statistics of lattice animals and dilute branched polymers , 1979 .

[18]  Tamás Vicsek,et al.  Monte Carlo renormalisation-group approach to percolation on a continuum: test of universality , 1981 .

[19]  Raoul Kopelman,et al.  Percolation and cluster distribution. I. Cluster multiple labeling technique and critical concentration algorithm , 1976 .

[20]  A. Bunde.  Physics on fractal structures , 1986 .

[21]  G. Toulouse,et al.  Perspectives from the theory of phase transitions , 1974 .

[22]  S G Whittington,et al.  Monte Carlo study of the percolating cluster for the square lattice site problem , 1980 .

[23]  J. Maier,et al.  Electrochemical Analysis of Anomalous Conductivity Effects in the AgClAgI Two Phase System , 1992 .

[24]  S. Edwards,et al.  The Theory of Polymer Dynamics , 1986 .

[25]  Bradley,et al.  Scaling behavior of percolation surfaces in three dimensions. , 1991, Physical review letters.

[26]  D. Stauffer,et al.  New Universality Class for Kinetic Gelation , 1982 .

[27]  C. Zarcone,et al.  Invasion percolation in an etched network: Measurement of a fractal dimension. , 1985, Physical review letters.

[28]  Mean number of clusters for percolation processes in two dimensions , 1976 .

[29]  B. Mandelbrot,et al.  Physical properties of a new fractal model of percolation clusters , 1984 .

[30]  H. Eugene Stanley,et al.  Building blocks of percolation clusters: volatile fractals , 1984 .

[31]  Paul J. Flory,et al.  Molecular Size Distribution in Three Dimensional Polymers. II. Trifunctional Branching Units , 1941 .

[32]  H. Stanley,et al.  Relation between dynamic transport properties and static topological structure for the lattice-animal model of branched polymers , 1984 .

[33]  H. Janssen.  Renormalized field theory of dynamical percolation , 1985 .

[34]  B. Sapoval,et al.  The efficient determination of the percolation threshold by a frontier-generating walk in a gradient , 1986 .

[35]  Z. Alexandrowicz,et al.  Critically branched chains and percolation clusters , 1980 .

[36]  Harvey Gould,et al.  Kinetics of Aggregation and Gelation , 1985 .

[37]  Shlomo Havlin,et al.  Fractals in Science , 1995 .

[38]  R. Ziff,et al.  Generation of percolation cluster perimeters by a random walk , 1984 .

[39]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[40]  D. Gaunt,et al.  Percolation theory at the critical dimension , 1978 .

[41]  B. Nienhuis,et al.  Analytical calculation of two leading exponents of the dilute Potts model , 1982 .

[42]  Luciano Pietronero,et al.  FRACTALS IN PHYSICS , 1990 .

[43]  H E Stanley,et al.  Backbone and elastic backbone of percolation clusters obtained by the new method of 'burning' , 1984 .

[44]  Ziff.  Test of scaling exponents for percolation-cluster perimeters. , 1986, Physical review letters.

[45]  Self-organized criticality: Goldstone modes and their interactions. , 1990, Physical review letters.

[46]  G Grinstein,et al.  Directions in condensed matter physics : memorial volume in honor of Shang-keng Ma , 1986 .

[47]  S. Havlin,et al.  Distributions and moments of structural properties for percolation clusters , 1988 .

[48]  R. J. Harrison,et al.  Spanning lengths of percolation clusters , 1978 .

[49]  Walter H. Stockmayer,et al.  Theory of Molecular Size Distribution and Gel Formation in Branched‐Chain Polymers , 1943 .

[50]  T. Vicsek.  Fractal Growth Phenomena , 1989 .

[51]  Peter Reynolds,et al.  Large-cell Monte Carlo renormalization group for percolation , 1980 .

[52]  Harry Eugene Stanley,et al.  Correlations and connectivity : geometric aspects of physics, chemistry, and biology , 1990 .

[53]  Heather J. Ruskin,et al.  Percolation processes in d-dimensions , 1976 .

[54]  P Grassberger,et al.  On the spreading of two-dimensional percolation , 1985 .

[55]  Exact results for the one-dimensional self-organized critical forest-fire model. , 1993, Physical review letters.

[56]  Petr Munk,et al.  Introduction to macromolecular science , 1989 .

[57]  M. den Nijs,et al.  A relation between the temperature exponents of the eight-vertex and q-state Potts model , 1979 .

[58]  J. E. Kiefer,et al.  Probability distribution for percolation clusters generated on a cayley tree at criticality , 1987 .

[59]  H. Kesten.  Percolation theory for mathematicians , 1982 .

[60]  Jean-François Gouyet.  Anti-red bonds distribution law in 3D percolation , 1992 .

[61]  P. Leath.  Cluster size and boundary distribution near percolation threshold , 1976 .

[62]  P Grassberger,et al.  Spreading of percolation in three and four dimensions , 1986 .

[63]  J. Feder,et al.  Simulations of migration, fragmentation and coalescence of non-wetting fluids in porous media , 1993 .

[64]  Essam,et al.  Analysis of extended series for bond percolation on the directed square lattice. , 1986, Physical review. B, Condensed matter.

[65]  M. Rintoul,et al.  A precise characterization of three-dimensional percolating backbones , 1994 .

[66]  Dietrich Stauffer,et al.  Gelation and critical phenomena , 1982 .

[67]  P Grassberger,et al.  Epidemic models and percolation , 1985 .

[68]  G. Weiss.  Aspects and Applications of the Random Walk , 1994 .

[69]  Giorgio Parisi,et al.  Critical Behavior of Branched Polymers and the Lee-Yang Edge Singularity , 1981 .

[70]  Lucena,et al.  Ramified polymerization in dirty media: A new critical phenomenon. , 1994, Physical review letters.

[71]  G. Weiss,et al.  The chemical distance distribution in percolation clusters , 1985 .

[72]  H. Eugene Stanley,et al.  Application of fractal concepts to polymer statistics and to anomalous transport in randomly porous media , 1984 .

[73]  Kremer,et al.  Kinetic growth models. , 1985, Physical review letters.

[74]  Hans Jürgen Herrmann,et al.  The Hamiltonian spectrum of directed percolation , 1990 .

[75]  S. Redner,et al.  Introduction To Percolation Theory , 2018 .

[76]  Joachim Maier,et al.  Ionic conduction in space charge regions , 1995 .

[77]  P. Flory.  Principles of polymer chemistry , 1953 .

[78]  Tucholski,et al.  Intermittency pattern of fluctuations in nuclear multifragmentation. , 1990, Physical review letters.

[79]  S. Murrell.  Fragmentation, form and flow in fractured media. R. Englman and Z. Jaeger, 1986. Volume 8 of Annals of Israel Physical Society. 628 pp. Adam Hilger, Bristol, U.K. Price: £49.50. , 1987 .

[80]  J. Kertész.  Percolation of holes between overlapping spheres : Monte Carlo calculation of the critical volume fraction , 1981 .

[81]  L. Schulman,et al.  Percolation model of galactic structure , 1990 .

[82]  J. Demongeot,et al.  Numerical methods in the study of critical phenomena : proceedings of a colloquium, Carry-le-Rouet, France, June 2-4, 1980 , 1981 .

[83]  Peter Grassberger,et al.  Directed percolation in 2+1 dimensions , 1989 .

[84]  H. Stanley,et al.  On the relation of kinetic gelation and percolation , 1986 .

[85]  J. Krug,et al.  Growth shapes and directed percolation , 1990 .

[86]  Avalanches and the directed percolation depinning model: Experiments, simulations, and theory. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[87]  Havlin,et al.  Are Branched Polymers in the Universality Class of Percolation? , 1995, Physical review letters.

[88]  H. Stanley,et al.  On growth and form : fractal and non-fractal patterns in physics , 1986 .

[89]  A. Bunde,et al.  Dynamical phase transitions in cluster growth processes where growth sites have a finite lifetime , 1988 .

[90]  J. M. Cook,et al.  The fractal approach to heterogeneous chemistry , 1990 .

[91]  J. Gouyet.  Physics and Fractal Structures , 1996 .

[92]  Saleur,et al.  Exact determination of the percolation hull exponent in two dimensions. , 1987, Physical review letters.

[93]  M. Barma.  Shortest paths in percolation , 1985 .

[94]  H. Stanley,et al.  Statistical physics of macromolecules , 1995 .

[95]  A. Bunde,et al.  Percolation model for mixed alkali effects in solid ionic conductors , 1986 .

[96]  Shlomo Havlin,et al.  Universal substructures of percolation clusters: the skeleton , 1984 .

[97]  J. W. Essam,et al.  Percolation theory , 1980 .

[98]  H. Stanley,et al.  Cluster shapes at the percolation threshold: and effective cluster dimensionality and its connection with critical-point exponents , 1977 .

[99]  S. Redner.  Directed and diode percolation , 1982 .

[100]  Antonio Coniglio,et al.  Thermal Phase Transition of the Dilute s -State Potts and n -Vector Models at the Percolation Threshold , 1981 .

[101]  Structure of random fractals and the probability distribution of random walks. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[102]  A. Coniglio.  Cluster structure near the percolation threshold , 1982 .

[103]  Harry Eugene Stanley,et al.  Random fluctuations and pattern growth : experiments and models , 1988 .

[104]  Trugman,et al.  A new kinetic walk and percolation perimeters. , 1985, Physical review. B, Condensed matter.

[105]  Bruno H. Zimm,et al.  The Dimensions of Chain Molecules Containing Branches and Rings , 1949 .

[106]  R. Ziff,et al.  Spanning probability in 2D percolation. , 1992, Physical review letters.

[107]  Tom C. Lubensky,et al.  Field Theory for the Statistics of Branched Polymers, Gelation, and Vulcanization , 1978 .

[108]  Shlomo Havlin,et al.  Topological properties of diffusion limited aggregation and cluster-cluster aggregation , 1984 .

[109]  J. Hammersley,et al.  Percolation processes , 1957, Mathematical Proceedings of the Cambridge Philosophical Society.

[110]  P Grassberger,et al.  Numerical studies of critical percolation in three dimensions , 1992 .

[111]  Alexander Blumen,et al.  Dynamic simulation of forest fires , 1988 .

[112]  Stanley,et al.  Lifetime of the bond network and gel-like anomalies in supercooled water. , 1990, Physical review letters.

[113]  Drossel,et al.  Self-organized critical forest-fire model. , 1992, Physical review letters.

[114]  Alan R. Kerstein,et al.  Critical Properties of the Void Percolation Problem for Spheres , 1984 .

[115]  C. Domb,et al.  Crystal statistics with long-range forces: I. The equivalent neighbour model , 1966 .

[116]  H. E. Stanley,et al.  The fractal dimension of the minimum path in two- and three-dimensional percolation , 1988 .

[117]  Hans J. Herrmann,et al.  Geometrical cluster growth models and kinetic gelation , 1986 .

[118]  Michael E. Fisher,et al.  The theory of condensation and the critical point , 1967 .

[119]  Amnon Aharony,et al.  Accessible external perimeters of percolation clusters , 1987 .

[120]  H. Stanley,et al.  Cluster-Growth Model for Branched Polymers That Are , 1984 .

[121]  Bernard Sapoval,et al.  The fractal nature of a diffusion front and the relation to percolation , 1985 .

[122]  R. Cohen,et al.  First passage percolation: Scaling and critical exponents , 1984 .

[123]  H. Eugene Stanley,et al.  Connectivity of hydrogen bonds in liquid water , 1984 .

[124]  B. Mandelbrot,et al.  Solvable Fractal Family, and Its Possible Relation to the Backbone at Percolation , 1981 .

[125]  E. Albano,et al.  Critical behaviour of a forest fire model with immune trees , 1994 .

[126]  H E Stanley,et al.  Order propagation near the percolation threshold , 1981 .

[127]  J. W. Essam,et al.  On two-dimensional directed percolation , 1988 .

[128]  David Wilkinson,et al.  Invasion percolation: a new form of percolation theory , 1983 .

[129]  S. Havlin,et al.  Topological properties of percolation clusters , 1984 .

[130]  Redner,et al.  Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation threshold. , 1985, Physical review. B, Condensed matter.

[131]  Claude M. Penchina,et al.  The physics of amorphous solids , 1983 .

[132]  Shang‐keng Ma.  Modern Theory of Critical Phenomena , 1976 .

[133]  D. Stauffer.  Scaling Theory of Percolation Clusters , 1979, Complex Media and Percolation Theory.

[134]  Localization of electrons, fractons and random walks in random fractals: Novel scaling with the number of configurations , 1995 .

[135]  Joel Koplik,et al.  Capillary displacement and percolation in porous media , 1982, Journal of Fluid Mechanics.

[136]  Dietrich Stauffer,et al.  Universality at the three-dimensional percolation threshold , 1994 .

[137]  Joan Adler,et al.  Percolation Structures and Processes , 1983 .