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Contents
1
Structural descriptors
1.1
Basic node, edge, and layer properties
1.1.1
Node and layer activity
1.1.2
Layer aggregation
1.1.3
Node degree, participation coefficient, cartography
1.1.4
Edge overlap, reinforcement
1.2
Inter-layer degree correlations
1.2.1
Node ranking
1.2.2
Interlayer degree correlation coefficients
1.2.3
Interlayer degree correlation functions
2
Models of multi-layer networks
2.1
Null models
2.1.1
Null-models of node and layer activity
2.2
Growing multiplex networks
2.2.1
Linear preferential attachment
2.2.2
Non-linear preferential attachment
2.2.3
Utilities
2.3
Multiplex networks with inter-layer degree correlations
2.3.1
Models based on simulated annealing
3
Dynamics on multi-layer networks
3.1
Interacting opinions - Multilayer ising model
3.2
Biased random walks
3.2.1
Stationary distribution
3.2.2
Entropy rate
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