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pro vyhledávání: '"Baxter, G. P."'
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 in each of the layers is in this component. This is a weaker conditio
Externí odkaz:
http://arxiv.org/abs/2206.12995
Autor:
Machado, G., Baxter, G. J.
We consider the effect of a nonvanishing fraction of initially infected nodes (seeds) on the SIR epidemic model on random networks. This is relevant when, for example, the number of arriving infected individuals is large, but also to the modeling of
Externí odkaz:
http://arxiv.org/abs/2202.04577
Publikováno v:
Sci Rep 12, 3973 (2022)
Weak multiplex percolation generalizes percolation to multi-layer networks, represented as networks with a common set of nodes linked by multiple types (colors) of edges. We report a novel discontinuous phase transition in this problem. This anomalou
Externí odkaz:
http://arxiv.org/abs/2111.12524
Autor:
Baxter, G. J., Timár, G.
Publikováno v:
J. Stat. Mech. (2021) 103501
The outcome of SIR epidemics with heterogeneous infective lifetimes, or heterogeneous susceptibilities, can be mapped onto a directed percolation process on the underlying contact network. In this paper we study SIR models where heterogeneity is a re
Externí odkaz:
http://arxiv.org/abs/2102.11602
In many systems consisting of interacting subsystems, the complex interactions between elements can be represented using multilayer networks. However percolation, key to understanding connectivity and robustness, is not trivially generalised to multi
Externí odkaz:
http://arxiv.org/abs/2011.01672
We explored the statistics of filtering of simple patterns on a number of deterministic and random graphs as a tractable simple example of information processing in complex systems. In this problem, multiple inputs map to the same output, and the sta
Externí odkaz:
http://arxiv.org/abs/2008.06383
Publikováno v:
Phys. Rev. E 102, 032301 (2020)
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 inactive status simply by referencing neighboring nodes. This is not the case
Externí odkaz:
http://arxiv.org/abs/2006.00357
Akademický článek
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Publikováno v:
Phys. Rev. X 10, 011074 (2020)
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 filtering performs the maximal compression of relevant information conta
Externí odkaz:
http://arxiv.org/abs/1906.11266
Publikováno v:
Phys. Rev. E 98, 032307 (2018)
The giant mutually connected component (GMCC) of an interdependent or multiplex network collapses with a discontinuous hybrid transition under random damage to the network. If the nodes to be damaged are selected in a targeted way, the collapse of th
Externí odkaz:
http://arxiv.org/abs/1802.03992