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SUMMARY:Cascade Dynamics\, Multiplex Networks and Heterogeneity - Naomi Eh
 rich Leonard\, Princeton University
DTSTART:20190516T130000Z
DTEND:20190516T140000Z
UID:TALK123814@talks.cam.ac.uk
CONTACT:Alberto Padoan
DESCRIPTION:Cascade dynamics in networks have been studied using the linea
 r threshold model (LTM) on single layer networks. In the LTM any node in t
 he network becomes active when a sufficiently large fraction of its neighb
 ors is active. In reality\, nodes may be interconnected through more than 
 one sensing\, communication\, or physical modality. To explore what can ha
 ppen when spreading protocols distinguish these modalities\, we define the
  LTM on multiplex networks\, which have multiple layers\, each representin
 g interconnections for a different modality. For example\, in the “OR”
  protocol\, a node becomes active if a large enough set of its visible nei
 ghbors or a large enough set of its audible neighbors is active\; whereas 
 in the “AND” protocol\, the node becomes active only if both active se
 ts are sufficiently large. We design an algorithm to compute nodal cascade
  centrality\, which measures a node's influence on the cascade dynamics. W
 e show how different protocols can be used to investigate heterogeneity in
  cascade dynamics\, i.e.\, in mixed groups of individuals with responsive 
 (OR) or conservative (AND) tendencies. Extensions to continuous-time dynam
 ics will be discussed.
LOCATION:Cambridge University Engineering Department\, Lecture Theatre 6
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