77 citations · 330 across the 17 of their papers we have counts for
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math.PR2021
Mean-field limits for non-linear Hawkes processes with excitation and inhibition
Peter Pfaffelhuber, Stefan Rotter, Jakob Stiefel
We study a multivariate, non-linear Hawkes process on the complete graph with nodes. Each vertex is either excitatory (probability ) or inhibitory (probability ).…
math.PR2010★ 25 cited
Non-equilibrium dynamics of stochastic point processes with refractoriness
Moritz Deger, Moritz Helias, Stefano Cardanobile +2
Stochastic point processes with refractoriness appear frequently in the quantitative analysis of physical and biological systems, such as the generation of action potentials by ner…
math.PR2009
Multiplicatively interacting point processes and applications to neural modeling
Stefano Cardanobile, Stefan Rotter
We introduce a nonlinear modification of the classical Hawkes process, which allows inhibitory couplings between units without restrictions. The resulting system of interacting poi…