377 citations · 1.3k across the 25 of their papers we have counts for
7 papers · 1 filter
Weak percolation on multiplex networks with overlapping edges
G. J. Baxter, R. A. da Costa, S. N. Dorogovtsev +1
We solve the weak percolation problem for multiplex networks with overlapping edges. In weak percolation, a vertex belongs to a connected component if at least one of its neighbors…
Weak Multiplex Percolation
G. J. Baxter, R. A. da Costa, S. N. Dorogovtsev +1
In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However percolation, key to understand…
Exotic Critical Behavior of Weak Multiplex Percolation
G. J. Baxter, R. A. da Costa, S. N. Dorogovtsev +1
We describe the critical behavior of weak multiplex percolation, a generalization of percolation to multiplex or interdependent networks. A node can determine its active or inactiv…
Complex distributions emerging in filtering and compression
G. J. Baxter, R. A. da Costa, S. N. Dorogovtsev +1
In filtering, each output is produced by a certain number of different inputs. We explore the statistics of this degeneracy in an explicitly treatable filtering problem in which fi…
A unified approach to percolation processes on multiplex networks
G. J. Baxter, D. Cellai, S. N. Dorogovtsev +2
Many real complex systems cannot be represented by a single network, but due to multiple sub-systems and types of interactions, must be represented as a multiplex network. This is…
Critical dynamics of the k-core pruning process
G. J. Baxter, S. N. Dorogovtsev, K. -E. Lee +2
We present the theory of the k-core pruning process (progressive removal of nodes with degree less than k) in uncorrelated random networks. We derive exact equations describing thi…