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Scale-free percolation is a percolation model on $\mathbb{Z}^d$ which can be used to model real-world networks.
Long range percolation in one dimension
L. S. Schulman · 1983
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One-dimensional 1 / | j − i | s 1/|j-i|^{s} percolation models: the existence of a transition for s ≤ 2 s\leq 2
C. M. Newman and L. S. Schulman · 1986
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On the uniqueness of the infinite cluster in the percolation model
A. Gandolfi, G. Grimmett, and L. Russo · 1988
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Random walk on the infinite cluster of the percolation model
G. Grimmett, H. Kesten, and Y. Zhang · 1993
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Probability on Trees: An Introductory Climb
Y. Peres · 1993
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Transience, recurrence and critical behavior for long-range percolation
N. Berger · 2002
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On the scaling of the chemical distance in long-range percolation models
M. Biskup · 2004
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Models and Methods in Social Network Analysis
P. Carrington, J. Scott, and S. Wasserman · 2005
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Distances in random graphs with infinite mean degrees
H. v. d. Esker, R. v. d. Hofstad, G. Hooghiemstra, and D. Znamenski · 2006
Cited alongside, same era.
A geometric preferential attachment model of networks
A. D. Flaxman, A. M. Frieze, and J. Vera · 2006
Cited alongside, same era.
On a conditionally poissonian graph process
I. Norros and H. Reittu · 2006
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A spatial web graph model with local influence regions
W. Aiello, A. Bonato, C. Cooper, J. Janssen, and P. Prałat · 2008
Cited alongside, same era.
Mean-field behavior for long- and finite range ising model, percolation and self-avoiding walk
M. Heydenreich, R. van der Hofstad, and A. Sakai · 2008
Cited alongside, same era.
Scale-free percolation
M. Deijfen, R. van der Hofstad, and G. Hooghiemstra · 2013
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Random graphs and complex networks. Vol I
R. v. d. Hofstad · 2014
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Network science
A.-L. Barabási · 2015
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Inhomogeneous long-range percolation for real-life network modeling
P. Deprez, R. S. Hazra, and M. V. Wüthrich · 2015
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Spatial preferential attachment networks: Power laws and clustering coefficients
E. Jacob and P. Mörters · 2015
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Average distance in a general class of scale-free networks with underlying geometry
K. Bringmann, R. Keusch, and J. Lengler · 2016
Closest in time.
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Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12,…
I. Benjamini, H. Kesten, Y. Peres, and O. Schramm · 2011
Cited alongside, same era.
Geometric inhomogeneous random graphs
K. Bringmann, R. Keusch, and J. Lengler · 2016
Closest in time.