@article{bastas2015static,
author = "N. Bastas and F. Lazaridis and P. Argyrakis and M. Maragakis",
abstract = "It has recently been suggested $\backslash$cite{\{}Radicchi2013{\}} that in a two-level multiplex network, a gradual change in the value of the "interlayer" strength {\$}p{\$} can provoke an abrupt structural transition. The critical point {\$}p{\^{}}*{\$} at which this happens is system-dependent. In this article, we show in a similar way as in $\backslash$cite{\{}Garrahan2014{\}} that this is a consequence of the graph Laplacian formalism used in $\backslash$cite{\{}Radicchi2013{\}}. We calculate the evolution of {\$}p{\^{}}{\{}*{\}}{\$} as a function of system size for ER and RR networks. We investigate the behavior of structural measures and dynamical processes of a two-level system as a function of {\$}p{\$}, by Monte-Carlo simulations, for simple particle diffusion and for reaction-diffusion systems. We find that as {\$}p{\$} increases there is a smooth transition from two separate networks to a single one. We cannot find any abrupt change in static or dynamic behavior of the underlying system.",
doi = "10.1209/0295-5075/109/38006",
issn = "0295-5075",
journal = "EPL (Europhysics Letters)",
number = "3",
pages = "38006",
title = "{S}tatic and dynamic behavior of multiplex networks under interlink strength variation",
url = "http://stacks.iop.org/0295-5075/109/i=3/a=38006?key=crossref.5bdaa4f30254f1b42074f80430b000f0",
volume = "109",
year = "2015",
}