Percolation and connection times in multi-scale dynamic networks

We study the effects of mobility on two crucial characteristics in multi-scale dynamic networks: percolation and connection times. Our analysis provides insights into question, to what extent long-time averages are well-approximated by expected values corresponding quantities, i.e., probabilities. In particular, we show that models, strong random may persist limit. Depending precise model choice, these take form a spatial birth–death process or Brownian motion. Despite variety structures appear limit, they can be tackled common framework with potential applicable more generally order identify limits network models going beyond examples considered present work.