19 citations · 33 across the 6 of their papers we have counts for
4 papers · 1 filter
Adaptive conduction delays and phase locking in spiking Haken Lighthouse networks
Stephen Coombes, Rüdiger Thul, Stefan Ruschel +1
We develop a theory of phase-locked activity in delayed spiking networks using the Haken Lighthouse model as an analytically tractable event-based description of neural dynamics. F…
Evolution of moments and correlations in non-renewal escape-time processes
Wilhelm Braun, Rüdiger Thul, André Longtin
The theoretical description of non-renewal stochastic systems is a challenge. Analytical results are often not available or can only be obtained under strong conditions, limiting t…
Sign-changes as a universal concept in first-passage time calculations
Wilhelm Braun, Rüdiger Thul
First-passage time problems are ubiquitous across many fields of study including transport processes in semiconductors and biological synapses, evolutionary game theory and percola…
First passage times in integrate-and-fire neurons with stochastic thresholds
Wilhelm Braun, Paul C. Matthews, Rüdiger Thul
We consider a leaky integrate-and-fire neuron with deterministic subthreshold dynamics and a firing threshold that evolves as an Ornstein-Uhlenbeck process. The formulation of this…