1. A method for event delivery in a neural network including multiple core circuits, wherein each core circuit comprises an electronic synapse array comprising multiple digital synapses interconnecting a plurality of digital electronic neurons such that each synapse interconnects an axon of a pre-synaptic neuron with a dendrite of a post-synaptic neuron, the method comprising: in each core circuit: integrating at least one input spike in a digital electronic neuron of the core circuit; determining whether the at least one integrated input spike exceeds a threshold of the digital electronic neuron; in response to determining the at least one integrated input spike exceeds the threshold of the digital electronic neuron, generating an outgoing spike event for delivery to a target axon in an electronic synapse array of the core circuit or another electronic synapse array of another core circuit, wherein the spike event includes a corresponding timestamp indicating generation of the spike event; and receiving at least one incoming spike event and scheduling delivery of the at least one incoming spike event to at least one target axon in the electronic synapse array of the core circuit, wherein delivery of each incoming spike event is scheduled based on a schedule for deterministic event delivery and a corresponding timestamp for the incoming spike event.