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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…