  We derive new discrete event simulation algorithms for marked time point
processes. The main idea is to couple a special structure, namely the
associated local independence graph, as defined by Didelez arXiv:0710.5874,
with the activity tracking algorithm [muzy, 2019] for achieving high
performance asynchronous simulations. With respect to classical algorithm, this
allows reducing drastically the computational complexity, especially when the
graph is sparse.
  [muzy, 2019] A. Muzy. 2019. Exploiting activity for the modeling and
simulation of dynamics and learning processes in hierarchical (neurocognitive)
systems. (Submitted to) Magazine of Computing in Science & Engineering (2019)
