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Percolation in Multiplex Networks with Overlap
Davide Cellai, Eduardo López, Jie Zhou +2
From transportation networks to complex infrastructures, and to social and communication networks, a large variety of systems can be described in terms of multiplexes formed by a s…
How clustering affects the bond percolation threshold in complex networks
James P. Gleeson, Sergey Melnik, Adam Hackett
The question of how clustering (non-zero density of triangles) in networks affects their bond percolation threshold has important applications in a variety of disciplines. Recent a…
Bond percolation on a class of clustered random networks
James P. Gleeson
Analytical results are derived for the bond percolation threshold and the size of the giant connected component in a class of random networks with non-zero clustering. The network'…
Analytical results for bond percolation and k-core sizes on clustered networks
James P. Gleeson, Sergey Melnik
An analytical approach to calculating bond percolation thresholds, sizes of -cores, and sizes of giant connected components on structured random networks with non-zero clusterin…
Transport in randomly-fluctuating spatially-periodic potentials
James P. Gleeson
The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colore…
Motion in random fields - an application to stock market data
James P. Gleeson
A new model for stock price fluctuations is proposed, based upon an analogy with the motion of tracers in Gaussian random fields, as used in turbulent dispersion models and in stud…