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Activation and control of extreme trajectories in network dynamics
Published on Oct 16, 20122830 Views
Simple models of irreversible dynamics on networks have been successfully applied to describe cascade processes in many fields of research. However the problem of optimizing the trajectory of the syst
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Chapter list
Activation and control of extreme trajectories in network dynamics00:00
Introduction (1)00:11
Introduction (2)01:25
Introduction (3)02:46
Progressive Dynamics on Graphs (1)03:57
Progressive Dynamics on Graphs (2)05:01
Activation Times Representation (1)05:40
Activation Times Representation (2)06:47
Activation Times Representation (3)07:32
BP equations for progressive dynamics (1)08:06
BP equations for progressive dynamics (2)09:35
Example: Bootstrap Percolation (1)10:44
Example: Bootstrap Percolation (2)11:37
Results on Regular Random Graphs (1)12:24
Results on Regular Random Graphs (2)13:38
Results on Regular Random Graphs (3)17:41
Results on Regular Random Graphs (4)18:09
Results on Regular Random Graphs (5)20:41
Results on Regular Random Graphs (6)21:19
Rare Trajectories22:30
Stochastic Progressive Dynamics (1)22:32
Stochastic Progressive Dynamics (2)23:45
Example (1)25:54
Example (2)27:13
Conclusion28:13