WIAS Preprint No. 2895, (2021)

Connection intervals in multi-scale dynamic networks


  • Hirsch, Christian
  • Jahnel, Benedikt
    ORCID: 0000-0002-4212-0065
  • Cali, Elie

2020 Mathematics Subject Classification

  • 60K35 60F10 82C22


  • Wireless communication network, multi-scale model, scaling limit, continuum percolation




We consider a hybrid spatial communication system in which mobile nodes can connect to static sinks in a bounded number of intermediate relaying hops. We describe the distribution of the connection intervals of a typical mobile node, i.e., the intervals of uninterrupted connection to the family of sinks. This is achieved in the limit of many hops, sparse sinks and growing time horizons. We identify three regimes illustrating that the limiting distribution depends sensitively on the scaling of the time horizon.

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