A Dynamic Network in a Dynamic Population: Asymptotic Properties

Content Provider	Scilit
Author	Britton, Tom Lindholm, Mathias Turova, Tatyana
Copyright Year	2011
Description	We derive asymptotic properties for a stochastic dynamic network model in a stochastic dynamic population. In the model, nodes give birth to new nodes until they die, each node being equipped with a social index given at birth. During the life of a node it creates edges to other nodes, nodes with high social index at higher rate, and edges disappear randomly in time. For this model, we derive a criterion for when a giant connected component exists after the process has evolved for a long period of time, assuming that the node population grows to infinity. We also obtain an explicit expression for the degree correlation ρ (of neighbouring nodes) which shows that ρ is always positive irrespective of parameter values in one of the two treated submodels, and may be either positive or negative in the other model, depending on the parameters.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/86EFA9773AC2B67055EF45F7DB597826/S0021900200008688a.pdf/div-class-title-a-dynamic-network-in-a-dynamic-population-asymptotic-properties-div.pdf
Ending Page	1178
Page Count	16
Starting Page	1163
ISSN	00219002
e-ISSN	14756072
DOI	10.1017/s0021900200008688
Journal	Journal of applied probability
Issue Number	04
Volume Number	48
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2011-12-01
Access Restriction	Open
Subject Keyword	Journal of applied probability Automotive Engineering Degree Correlation Dynamic Network Phase Transition Random Graph Stationary Distribution
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability Statistics, Probability and Uncertainty