%0 Journal Article %1 Baxter2016Correlated %A Baxter, Gareth J. %A Bianconi, Ginestra %A da Costa, Rui A. %A Dorogovtsev, Sergey N. %A Mendes, José F. F. %D 2016 %J Physical Review E %K edge-overlap, percolation multiplex-networks %N 1 %R 10.1103/PhysRevE.94.012303 %T Correlated edge overlaps in multiplex networks %U http://dx.doi.org/10.1103/PhysRevE.94.012303 %V 94 %X We develop the theory of sparse multiplex networks with partially overlapping links based on their local tree-likeness. This theory enables us to find the giant mutually connected component in a two-layer multiplex network with arbitrary correlations between connections of different types. We find that correlations between the overlapping and non-overlapping links markedly change the phase diagram of the system, leading to multiple hybrid phase transitions. For assortative correlations we observe recurrent hybrid phase transitions.

@article{Baxter2016Correlated, abstract = {{We develop the theory of sparse multiplex networks with partially overlapping links based on their local tree-likeness. This theory enables us to find the giant mutually connected component in a two-layer multiplex network with arbitrary correlations between connections of different types. We find that correlations between the overlapping and non-overlapping links markedly change the phase diagram of the system, leading to multiple hybrid phase transitions. For assortative correlations we observe recurrent hybrid phase transitions.}}, added-at = {2019-06-10T14:53:09.000+0200}, archiveprefix = {arXiv}, author = {Baxter, Gareth J. and Bianconi, Ginestra and da Costa, Rui A. and Dorogovtsev, Sergey N. and Mendes, Jos\'{e} F. F.}, biburl = {https://www.bibsonomy.org/bibtex/27f4cedd4b158e663749a45c3dd739e47/nonancourt}, citeulike-article-id = {13934049}, citeulike-linkout-0 = {http://dx.doi.org/10.1103/PhysRevE.94.012303}, citeulike-linkout-1 = {http://arxiv.org/abs/1602.03447}, citeulike-linkout-2 = {http://arxiv.org/pdf/1602.03447}, day = 6, doi = {10.1103/PhysRevE.94.012303}, eprint = {1602.03447}, interhash = {bab1b4c00326cc96f24f10ce0e10ff84}, intrahash = {7f4cedd4b158e663749a45c3dd739e47}, issn = {2470-0053}, journal = {Physical Review E}, keywords = {edge-overlap, percolation multiplex-networks}, month = jul, number = 1, posted-at = {2016-02-16 23:29:40}, priority = {2}, timestamp = {2019-07-31T12:37:21.000+0200}, title = {{Correlated edge overlaps in multiplex networks}}, url = {http://dx.doi.org/10.1103/PhysRevE.94.012303}, volume = 94, year = 2016 }