Classes of random walks on temporal networks with competing timescales

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Random walks find applications in many areas of science and are the heart of essential network analytic tools. When defined on temporal networks, even basic random walk models may exhibit a rich spectrum of behaviours, due to the co-existence of different timescales in the system. Here, we introduce random walks on general stochastic temporal networks allowing for lasting interactions, with up to three competing timescales. We then compare the mean resting time and stationary state of different models. We also discuss the accuracy of the mathematical analysis depending on the random walk model and the structure of the underlying network, and pay particular attention to the emergence of non-Markovian behaviour, even when all dynamical entities are governed by memoryless distributions.
Original languageEnglish
Article number72
Pages (from-to)1-20
Number of pages20
JournalApplied Network Science
Issue number1
Publication statusPublished - 1 Dec 2019


  • random walk
  • temporal network
  • memory
  • Memory
  • Random walk
  • Temporal network


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