H. E. Stanley, R. J. Birgeneau, P. J. Reynolds, and J. F. Nicoll,
"Thermally Driven Phase Transitions near the Percolation Threshold in
Two Dimensions," J. Phys. C: Solid State 9, L553-560 (1976). PDF[Citations: 108]
H. E. Stanley, "Cluster Shapes at the Percolation Threshold:
An Effective Cluster Dimensionality and its Connection with
Critical-Point Exponents," J. Phys. A 10, L211-220
(1977). Reproduced in: A. J. Hurd, Fractals (AIP Press, NY). PDF[Citations: 361]
P. J. Reynolds, W. Klein, and H. E. Stanley, "A Real-Space
Renormalization Group for Site and Bond Percolation," J. Phys. C: Solid
State Phys. 10, L167-L172 (1977). PDF[Citations: 227]
W. Klein, H. E. Stanley, P. J. Reynolds, and A. Coniglio,
"Renormalization Group Approach to the Percolation Properties of the
Triangular Ising Model," Phys. Rev. Lett. 41, 1145-1148
(1978). PDF
A. Coniglio, H. E. Stanley, and W. Klein, "Site-Bond
Correlated-Percolation Problem: A Statistical Mechanical Model of
Polymer Gelation," Phys. Rev. Lett. 42, 518-522 (1979). PDF
H. E. Stanley, "A Polychromatic Correlated-Site Percolation
Problem with Possible Relevance to the Unusual behavior of Supercooled
H2O and D2O," J. Phys. A 12, L329-L337 (1979). PDF
G. Shlifer, W. Klein, P. J. Reynolds, and H. E. Stanley, "Large-Cell
Renormalization Group for the Backbone Problem in Percolation,"
J. Phys. A 12, L169-L174 (1979). PDF
P. J. Reynolds, H. E. Stanley, and W. Klein, "A Large-Cell
Monte Carlo Renormalization Group for Percolation," Phys. Rev. B
21, 1223-1245 (1980). PDF[Citations: 370]
H. E. Stanley and J. Teixeira, "Interpretation of The Unusual
Behavior of H2O and D2O at Low Temperatures: Tests of a Percolation
Model," J. Chem. Phys. 73, 3404-3422 (1980). PDF[Citations: 690]
H. Nakanishi and H. E. Stanley, "Scaling Studies of
Percolation Phenomena in Systems of Dimensionality Two to Seven. I.
Cluster Numbers," Phys. Rev. B 22, 2466-2488 (1980). PDF
E. T. Gawlinski and H. E. Stanley, "Continuum Percolation in Two
Dimensions: Monte Carlo Tests of Scaling and Universality for
Non-Interacting Discs," J. Phys. A: Math. Gen. 14, L291-L299
(1981). PDF[Citations: 173]
H. E. Stanley, J. Teixeira, A. Geiger, and R. L. Blumberg,
"Interpretation of the Unusual Behavior of H2O and D2O at Low
Temperature: Are Concepts of Percolation Relevant to the Puzzle of
Liquid Water?" Physica A 106, 260-277 (1981). PDF
R. Pike and H. E. Stanley, "Order Propagation near the Percolation
Threshold," J. Phys. A 14, L169 (1981). PDF[Citations: 187]
F. Y. Wu and H. E. Stanley, "Domany-Kinzel Model of
Directed Percolation: Formulation as a Random Walk Problem and Some
Exact Results," Phys. Rev. Lett. 48, 775-778 (1982). PDF
A. Geiger and H. E. Stanley, "Tests of Universality of
Percolation Exponents for a 3-Dimensional Continuum System of
Interacting Waterlike Particles," Phys. Rev. Lett. 49, 1895-1898
(1982). PDF
H. E. Stanley, P. Reynolds, S. Redner and F. Family,
"Position-Space Renormalization Group for Models of Linear Polymers,
Branched Polymers, and Gels," in Real-space renormalization,
edited by T. W. Burkhardt and J. M. J. van Leeuwen (Springer-Verlag,
1982).
[Citations: 151]
H. E. Stanley and A. Coniglio, "Fractal Structure of the Incipient
Infinite Cluster in Percolation," in Percolation Processes and
Structures, edited by G. Deutscher, R. Zallen and J. Adler,
[Ann. Israel Phys. Soc. 5, 101-120 (1983)].
D. C. Hong and H. E. Stanley, "Cumulant Renormalization Group and
its Application to the Incipient Infinite Cluster in Percolation,"
J. Phys. A 16, L525-L530 (1983). PDF
P. Meakin and H. E. Stanley, "Novel Dimension-Independent Behavior
for Diffusive Annihilation on Percolation Fractals," J. Phys. A
17, L173-L178 (1984). PDF
A. Coniglio and H. E. Stanley, "Screening of Deeply
Invaginated Clusters and the Critical Behavior of the Random
Superconducting Network," Phys. Rev. Lett. 52, 1068-1071
(1984). PDF
H. E. Stanley and A. Coniglio, "Flow in Porous Media:
The 'Backbone' Fractal at the Percolation Threshold," Phys. Rev. B
29, 522-524 (1984). PDF
H. J. Herrmann, D. C. Hong, and H. E. Stanley, "Backbone and Elastic
Backbone of Percolation Clusters Obtained by the New Method of
`Burning'," J. Phys. A Lett. 17, L261-L265 (1984). PDF
I. Majid, D. Ben-Avraham, S. Havlin, and H. E. Stanley,
"Exact-Enumeration Approach to Random Walks on Percolation Clusters in
Two Dimensions," Phys. Rev. B 30, 1626-1628 (1984). PDF
Z. V. Djordjevic, S. Havlin, H. E. Stanley, and G. H. Weiss,
"New Method for Growing Branched Polymers and Large Percolation Clusters
below the Percolation Threshold," Phys. Rev. B 30, 478-481
(1984). PDF
D. C. Hong, S. Havlin, H. J. Herrmann, and H. E. Stanley,
"Breakdown of Alexander-Orbach Conjecture for Percolation: Exact
Enumeration of Random Walks on Percolation Backbones," Phys. Rev. B
30, 4083-4086 (1984). PDF[Citations: 107]
H. J. Herrmann and H. E. Stanley, "Building Blocks of
Percolation Clusters: Volatile Fractals," Phys. Rev. Lett. 53,
1121-1124 (1984). PDF[Citations: 123]
S. Havlin, Z. Djordjevic, I. Majid, H. E. Stanley, and
G. Weiss, "Relation between `Dynamic' Transport Properties and `Static'
Topological Structure for Branched Polymers,"
Phys. Rev. Lett. 53, 178-181 (1984). PDF
A. Bunde, A. Coniglio, D. C. Hong, and H. E. Stanley, "Transport in
a Two-Component Randomly-Composite Material: Scaling Theory and Computer
Simulations of Termite Diffusion near the Superconducting Limit,"
J. Phys. A Lett. 18, L137-L144 (1985). PDF
D. C. Hong, H. E. Stanley, A. Coniglio, and A. Bunde,
"Random-Walk Approach to the Two-Component Random-Resistor Mixture:
Perturbing away from the Perfect Random Resistor Network and Random
Superconducting-Network Limits," Phys. Rev. B 33, 4564-4573
(1986). PDF
A. Coniglio, N. Jan, I. Majid, and H. E. Stanley,
"Conformation of a Polymer Chain at the Theta-Prime Point: Connection to
the External Perimeter of a Percolation Cluster," Phys. Rev. B
35, 3617-3620 (1987). PDF
H. J. Herrmann and H. E. Stanley, "The Fractal Dimension of the
Minimum Path in Two- and Three-Dimensional Percolation," Journal of
Physics A 21, L829-L833 (1988). PDF
C.-K. Peng, S. Prakash, H. J. Herrmann, and H. E. Stanley,
"Randomness versus Deterministic Chaos: Effect on Invasion Percolation
Clusters," Phys. Rev. A 42, 4537-4542 (1990). PDF
R. L. B. Selinger and H. E. Stanley, "Percolation of
Interacting Diffusing Particles," Phys. Rev. A 42, 4845-4852
(1990). PDF
T. Nagatani and H. E. Stanley, "Viscous Fingering near
Percolation Threshold: Double-Crossover Phenomena," Phys. Rev. A
43, 2963-2969 (1991). PDF
S. Prakash, S. Havlin, M. Schwartz, and H. E. Stanley,
"Structural and Dynamical Properties of Long-Range Correlated
Percolation," Phys. Rev. A 46, R1724-R1727 (1992). PDF
B. Jovanovic, S. V. Buldyrev, S. Havlin, H. E. Stanley,
"Punctuated Equilibrium and 'History Dependent' Percolation,"
Phys. Rev. E 50, R2403-R2406 (1994). PDF
L. A. N. Amaral, A.-L. Barabasi, S. V. Buldyrev, S. T. Harrington,
S. Havlin, R. Sadr, and H. E. Stanley, "Avalanches and the
Directed Percolation Depinning Model: Experiments, Simulations and
Theory," Phys. Rev. E 51, 4655-4673 (1995). PDF
P. Jensen, A.-L. Barabasi, H. Larralde, S. Havlin, and
H. E. Stanley, "Growth and Percolation of Thin Films: A Model
Incorporating Deposition, Diffusion and Aggregation," Chaos, Solitons,
and Fractals 6, 227-236 (1995). PDF
H. Makse, G. W. Davies, S. Havlin, P. Ivanov, P. R. King, and
H. E. Stanley, "Long-Range Correlations in Sandstone
Permeability," Phys. Rev. E 54, 3129-3134 (1996). PDF
S. V. Buldyrev, L. A. N. Amaral, A.-L. Barabasi, S. T. Harrington,
S. Havlin, R. Sadr and H. E. Stanley, "Avalanches and the Directed
Percolation Depinning Model" [Proc. International Conf. on "Future of
Fractals"], Fractals 4, 307-319 (1996). PDF
H. Makse, S. Havlin, P. R. King, and H. E. Stanley, "Influence of
Spatial Correlations on Permeability and Connectivity of Sandstone" in
Disordered Materials and Interfaces [Proc. Symposium of Materials
Research Society, 1995], edited by H. Z. Cummins, D. J. Durian,
D. L. Johnson, and H. E. Stanley (Materials Research Society,
Pittsburgh, 1996), pp. 57-62.
H. A. Makse, S. Havlin, P. Ch. Ivanov, P. R. King, S. Prakash, and
H. E. Stanley, "Permeability Fluctuations in Sedimentary Rocks:
Connectivity, Permeability, and Spatial Correlations," Physica A
233, 587-605 (1996). PDF
H. Makse, S. Havlin, P. R. King, and H. E. Stanley, "Spontaneous
Stratification in Granular Mixtures," Nature 386, 379-382
(1997). PDF[Citations: 241]
J. S. Andrade Jr., D. A. Street, Y. Shibusa, S. Havlin, and
H. E. Stanley, "Diffusion and Reaction in Percolating Pore
Networks," Phys. Rev. E 55, 772-777 (1997). PDF
H. A. Makse, S. Havlin, P. R. King, and H. E. Stanley, "Novel
Pattern Formation in Granular Matter," in Stochastic Dynamics,
edited by L. Schimansky-Geier and T. Poeschel (Springer, Heidelberg,
1997), pp. 319-333.
H. A. Makse, S. Havlin, P. R. King, and H. E. Stanley, "Experimental
Studies of Stratification in a Granular Hele-Shaw Cell" in
Proc. Minerva Conf., Phil. Mag. 77, 1341-1351 (1998).
H. A. Makse, P. Cizeau, S. Havlin, P. R. King, and H. E. Stanley,
"Spontaneous Self-Stratification Without Shaking: 'Potatoes from Mashed
Potatoes'" in Physics of Dry Granular Media [Proc. 1997 NATO
ASI], edited by H. J. Herrmann, J.-P. Hovi, and S. Luding (Kluwer,
Dordrecht, 1998), pp. 671-680.
H. A. Makse, J. S. Andrade, M. Batty, S. Havlin and
H. E. Stanley, "Modeling Urban Growth Patterns with Correlated
Percolation," Phys. Rev. E 58, 7054-7062 (1998). PDF[Citations: 118]
N. V. Dokholyan, Y. Lee, S. V. Buldyrev, S. Havlin, P. R. King, and
H. E. Stanley, "Scaling of the Distribution of Shortest Paths in
Percolation," J. Stat. Phys. 93, 603-613 (1998). PDF
N. V. Dokholyan, S. V. Buldyrev, S. Havlin, P. R. King, Y. Lee, and
H. E. Stanley, "Distribution of Shortest Paths in Percolation"
[Proc. Giessen Conf. on Percolation], Physica A 266, 55-61
(1999). PDF
U. M. S. Costa, J. S. Andrade Jr., H. A. Makse, and H. E. Stanley,
"Inertial Effects on Fluid Flow through Disordered Porous Media"
[Proc. Giessen Conf. on Percolation], Physica A 266, 420-424
(1999). PDF
P. R. King, J. Andrade, N. V. Dokholyan, S. V. Buldyrev, S. Havlin,
Y. Lee, and H. E. Stanley, "Percolation and Oil Recovery"
[Proc. Giessen Conf. on Percolation], Physica A 266, 107-114
(1999). PDF
H. E. Stanley, J. S. Andrade Jr., S. Havlin, H. A. Makse, and
B. Suki, "Percolation Phenomena: A Broad-Brush Introduction with Some
Recent Applications to Porous Media, Liquid Water, and City Growth"
[Proc. Giessen Conf. on Percolation], Physica A 266, 5-16
(1999). PDF
H. A. Makse, P. Cizeau, S. Havlin, P. R. King, and H. E. Stanley,
"Dynamics of Stratification and Segregation in Two Dimensional Silos" in
Slow Dynamics in Complex Systems: Proceedings of the 8th Tohwa
University International Symposium, edited by Michio Tokuyama and
Irwin Oppenheim (AIP Conference Series, 1999), pp. 53-61.
Y. Lee, J. S. Andrade, S. V. Buldyrev, N. Dokholyan, S. Havlin,
P. R. King, G. Paul, and H. E. Stanley, "Traveling Time and
Traveling Length for Flow in Porous Media," Phys. Rev. E 60,
3425-3428 (1999). PDF
M. Barthelemy, S. V. Buldyrev, S. Havlin, and H. E. Stanley,
"Scaling for the Critical Percolation Backbone," Phys. Rev. E 60,
R1123-R1126 (1999). PDF
P. R. King, S. V. Buldyrev, N. V. Dokholyan, S. Havlin, Y. Lee,
G. Paul, and H. E. Stanley, "Applications of Statistical Physics to the
Oil Industry: Predicting Oil Recovery using Percolation Theory" [Proc.
NATO Adv. Res. Workshop, Budapest], Physica A 274, 60-66
(1999). PDF
H. Makse, J. S. Andrade Jr., and H. E. Stanley, "Tracer
Dispersion in Correlated Percolation Porous Media," Phys. Rev. E
61, 583-587 (2000). PDF
G. Paul, S. V. Buldyrev, N. V. Dokholyan, S. Havlin, P. R. King,
Y. Lee, and H. E. Stanley, "Dependence of Conductance on
Percolation Backbone Mass," Phys. Rev. E 61, 3435-3440 (2000). PDF
J. S. Andrade Jr., S. V. Buldyrev, N. Dokholyan, P. R. King, Y. Lee,
S. Havlin, and H. E. Stanley, "Flow between Two Sites in
Percolation Systems," Phys. Rev. E 62, 8270-8281 (2000). PDF
G. Paul, R. M. Ziff, and H. E. Stanley, "Percolation
Threshold, Fisher Exponent, and Shortest Path Exponent for Four and Five
Dimensions," Phys. Rev. E 64, 026115 (2001). PDF
P. R. King, S. V. Buldyrev, N. V. Dokholyan, S. Havlin, Y. Lee,
G. Paul, H. E. Stanley, and N. Vandesteeg, "Predicting Oil
Recovery using Percolation Theory," Petroleum Geoscience 7,
S105-S107 (2001).
J. S. Andrade Jr., A. D. Araujo, S. V. Buldyrev, S. Havlin, and
H. E. Stanley, "The Dynamics of Viscous Penetration in
Percolation Porous Media," Phys. Rev. E 63, 051403 (2001). PDF
L. R. da Silva, G, Paul, S. Havlin, D. R. Baker, and H. E. Stanley,
"Distribution of Backbone Mass Between Non-Parallel Lines," Physica A
314, 140-145 (2002). PDF
G. Paul, S. Havlin, and H. E. Stanley, "Fractal Behavior of
the Shortest Path Between Two Lines in Percolation Systems,"
Phys. Rev. E 65, 066105 (2002). PDF
G. Paul and H. E. Stanley, "Beyond Blobs in Percolation
Cluster Structure: The Distribution of 3-Blocks at the Percolation
Threshold," Phys. Rev. E 65, 056126 (2002). PDF
D. R. Baker, G. Paul, S. Sreenivasan, and H. E. Stanley, Continuum
Percolation Threshold for Interpenetrating Squares and Cubes,"
Phys. Rev. E 66, 046136 (2002). PDF
G. Paul, S. Havlin, and H. E. Stanley, "Fractal Behavior of
the Shortest Path Between Two Lines in Percolation Systems,"
Phys. Rev. E 65, 066105 (2002). PDF
R. Consiglio, D. R. Baker, G. Paul and H. E. Stanley,
"Continuum Percolation Thresholds for Mixtures of Spheres of Different
Sizes," Physica A 319, 49-55 (2003). PDF
P. R. King, S. V. Buldyrev, N. V. Dokholyan, S. Havlin, E. Lopez,
G. Paul, and H. E. Stanley, "Using Percolation Theory to Predict Oil
Field Performance," Physica A 314, 103-108 (2002). PDF
P. R. King, S. V. Buldyrev, N. V. Dokholyan, S. Havlin, E. Lopez,
G. Paul, and H. E. Stanley, "Predicting Oil Recovery Using Percolation
Theory" [Proc. IUPAP Statphys21, Cancun], Physica A 306, 376-380
(2002). PDF
S. Sreenivasan, D. R. Baker, G. Paul, and H. E. Stanley, "The
Approximate Invariance of the Average Number of Connections for the
Continuum Percolation of Squares at Criticality," Physica A 320,
34-40 (2003). PDF
G. Paul and H. E. Stanley, "Fractal Dimension of Three-Blocks
in Four-, Five, and Six-dimensional Percolation Systems," Phys. Rev. E
67, 026103 (2003). PDF
Luciano R. da Silva, Gerald Paul, Shlomo Havlin, Don R. Baker and
H. E. Stanley, "Scaling of Cluster Mass between Two Lines in 3d
Percolation," Physica A 318, 307-318 (2003). PDF
E. Lopez, S. V. Buldyrev, N. V. Dokholyan, L. Goldmakher, S. Havlin,
P. R. King, and H. E. Stanley, Postbreakthrough Behavior in Flow through
Porous Media," Phys. Rev. E 67, 056314 (2003). PDF
M. Barthelemy, S. V. Buldyrev, S. Havlin, and H. E. Stanley,
"Scaling and Finite-Size Effects for the Critical Backbone" inin
F. Family, M. Daoud, H. Herrmann, and H. E. Stanley [eds], Scaling
and Disordered Systems (World-Scientific Publishers, Singapore,
2002), pp. 19-28. The same paper is also published in: Fractals
11, 19-27 (2003). PDF
R. F. Soares, G. Corso, L. S. Lucena, J. E. Freitas, L. R. da~Silva,
G. Paul, and H. E. Stanley, "Distribution of Shortest Paths at
Percolation Threshold: Application to Oil Recovery with Multiple Wells,"
Physica A 343, 739-747 (2004). PDF
R. Consiglio, R. N. A. Zouain, D. R. Baker, G. Paul, and
H. E. Stanley, "Symmetry of the Continuum Percolation Threshold
in Systems of Two Different Size Objects," Physica A 343, 343-347
(2004). PDF
J. Shao, S. Havlin, and H. E. Stanley, "Dynamic Opinion Model
and Invasion Percolation," Phys. Rev. Lett. 103, 018701 (2009).
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