Propagation of moments in Hawkes networks

@article{Gilson2018PropagationOM,
  title={Propagation of moments in Hawkes networks},
  author={M. Gilson and J. Pfister},
  journal={ArXiv},
  year={2018},
  volume={abs/1810.09520}
}
The present paper provides a mathematical description of high-order moments of spiking activity in a recurrently-connected network of Hawkes processes. It extends previous studies that have explored the case of a (linear) Hawkes network driven by deterministic rate functions to the case of a stimulation by external inputs (rate functions or spike trains) with arbitrary correlation structure. Our approach describes the spatio-temporal filtering induced by the afferent and recurrent… Expand
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