Percolation on complex networks: Theory and application
In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …
as statistical physics, computer science, biology and sociology, from the perspective of the …
Explosive transitions in complex networks' structure and dynamics: Percolation and synchronization
Percolation and synchronization are two phase transitions that have been extensively
studied since already long ago. A classic result is that, in the vast majority of cases, these …
studied since already long ago. A classic result is that, in the vast majority of cases, these …
[BOOK][B] Applications of percolation theory
M Sahimi - 1994 - taylorfrancis.com
Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …
variety of phenomena that are of industrial and scientific importance. Examples include …
Explosive phenomena in complex networks
The emergence of large-scale connectivity and synchronization are crucial to the structure,
function and failure of many complex socio-technical networks. Thus, there is great interest …
function and failure of many complex socio-technical networks. Thus, there is great interest …
Anomalous critical and supercritical phenomena in explosive percolation
RM D'Souza, J Nagler - Nature Physics, 2015 - nature.com
The emergence of large-scale connectivity on an underlying network or lattice, the so-called
percolation transition, has a profound impact on the system's macroscopic behaviours …
percolation transition, has a profound impact on the system's macroscopic behaviours …
Explosive percolation is continuous, but with unusual finite size behavior
P Grassberger, C Christensen, G Bizhani, SW Son… - Physical review …, 2011 - APS
We study four Achlioptas-type processes with “explosive” percolation transitions. All
transitions are clearly continuous, but their finite size scaling functions are not entirely …
transitions are clearly continuous, but their finite size scaling functions are not entirely …
Recent advances and open challenges in percolation
Percolation is the paradigm for random connectivity and has been one of the most applied
statistical models. With simple geometrical rules a transition is obtained which is related to …
statistical models. With simple geometrical rules a transition is obtained which is related to …
State-of-the-art development of complex systems and their simulation methods
Y Tang, L Li, X Liu - Complex system modeling and simulation, 2021 - ieeexplore.ieee.org
The research on complex systems is different from that on general systems because the
former must consider self-organization, emergence, uncertainty, predetermination, and …
former must consider self-organization, emergence, uncertainty, predetermination, and …
Avoiding a spanning cluster in percolation models
When dynamics in a system proceeds under suppressive external bias, the system can
undergo an abrupt phase transition, as can happen when an epidemic spreads. Recently …
undergo an abrupt phase transition, as can happen when an epidemic spreads. Recently …
Explosive percolation in finite dimensions
Explosive percolation (EP) has received significant research attention due to its rich and
anomalous phenomena near criticality. In our recent study [Phys. Rev. Lett. 130, 147101 …
anomalous phenomena near criticality. In our recent study [Phys. Rev. Lett. 130, 147101 …