Criticality of networks with long-range connections (original) (raw)

Effects of ramification and connectivity degree on site percolation threshold on regular lattices and fractal networks

Alexander Balankin

Physics Letters, 2019

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Interdependent Lattice Networks in High Dimensions

Gabriel Cwilich

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New universality class in percolation on multifractal scale-free planar stochastic lattice

Kamrul Hassan

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Percolation on an isotropically directed lattice

Aurelio de Noronha

Physical Review E

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Percolation on a multifractal scale-free planar stochastic lattice and its universality class

Kamrul Hassan

Physical Review E, 2015

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Scaling behavior in very small percolation lattices

Joseph Hauger

Physical Review C, 1997

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Fluctuations of the infinite network in percolation theory

Dietrich Stauffer

Lettere al Nuovo Cimento, 1980

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Agglomerative percolation in two dimensions

Peter Grassberger

EPL (Europhysics Letters), 2012

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Percolation of Spatially Constraint Networks

Eugene Stanley

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The Birth of the Infinite Cluster: Finite-Size Scaling in Percolation

Christian Borgs

Rsa, 1997

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Numerical Evaluation of the Upper Critical Dimension of Percolation in Scale-Free Networks

Eugene Stanley

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Mean-field critical behaviour for percolation in high dimensions

Takashi Hara

Communications in Mathematical Physics, 1990

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Percolation Transitions Are Not Always Sharpened by Making Networks Interdependent

Peter Grassberger

Physical Review Letters, 2011

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Multi-range percolation model on the square lattice

Allbens Atman

Physica A: Statistical Mechanics and its Applications, 2019

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Finite-size scaling of clique percolation on two-dimensional Moore lattices

Zi-Gang Huang

Physical review. E, 2018

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Random sequential renormalization and agglomerative percolation in networks: Application to Erdös-Rényi and scale-free graphs

Peter Grassberger

Physical Review E, 2011

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Trivial, Critical and Near-critical Scaling Limits of Two-dimensional Percolation

Federico Camia

Journal of Statistical Physics, 2009

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Agglomerative percolation on bipartite networks: Nonuniversal behavior due to spontaneous symmetry breaking at the percolation threshold

Maya Paczuski

Physical Review E, 2012

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Inducing effect on the percolation transition in complex networks

Hai-Jun Zhou

Nature Communications, 2013

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IS THE PERCOLATION PROBABILITY ON Z d WITH LONG RANGE CONNECTIONS MONOTONE

Allbens Atman

2012

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Percolation in dimensions d ≥ 4

Joan Adler

Physical Review B, 1984

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Short-range correlations in percolation at criticality

Robert Ziff

Physical Review E, 2014

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Percolation in directed scale-free networks

Daniel ben-Avraham, S. Havlin

Physical Review E, 2002

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Path-Crossing Exponents and the External Perimeter in 2D Percolation

Bertrand Duplantier, Michael Aizenman

Physical Review Letters, 1999

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Universality of the emergent scaling in finite random binary percolation networks

D. Hanaor

PLOS One, 2017

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Generalized percolation

Brooks Harris

Physical Review B, 1981

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The high temperature Ising model on the triangular lattice is a critical percolation model

Federico Camia

Eprint Arxiv 0806 3020, 2008

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Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models

Takashi Hara

The Annals of Probability, 2003

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Planar Critical Percolation: Large clusters and Scaling limits

Rene Conijn

2015

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Percolation in hierarchical scale-free nets

Daniel ben-Avraham

Physical Review E, 2007

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Critical percolation in high dimensions

Peter Grassberger

Physical Review E, 2003

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